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110103412313304 = 2334509444175167
BaseRepresentation
bin11001000010001101110010…
…110001111000110011011000
3112102211210011010001121020000
4121002031302301320303120
5103412413242023011204
61030100450452333000
732122465124625414
oct3102156261706330
9472753133047200
10110103412313304
113209a65a951833
1210422942014160
134958926a284a7
141d29068255d44
15cae0982d8039
hex642372c78cd8

110103412313304 has 160 divisors (see below), whose sum is σ = 309071069366400. Its totient is φ = 36620297925120.

The previous prime is 110103412313273. The next prime is 110103412313327. The reversal of 110103412313304 is 403313214301011.

110103412313304 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 0 + 3 + 41 + 2 + 313 + 304 = 666.

It is a super-2 number, since 2×1101034123133042 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1464746329 + ... + 1464821495.

It is an arithmetic number, because the mean of its divisors is an integer number (1931694183540).

Almost surely, 2110103412313304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110103412313304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154535534683200).

110103412313304 is an abundant number, since it is smaller than the sum of its proper divisors (198967657053096).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

110103412313304 is a wasteful number, since it uses less digits than its factorization.

110103412313304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80135 (or 80122 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 110103412313304 its reverse (403313214301011), we get a palindrome (513416626614315).

The spelling of 110103412313304 in words is "one hundred ten trillion, one hundred three billion, four hundred twelve million, three hundred thirteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 509 648 1018 1527 2036 3054 4072 4441 4581 6108 8882 9162 12216 13323 13743 17764 18324 26646 27486 35528 36648 39969 41229 53292 54972 75167 79938 82458 106584 109944 119907 150334 159876 164916 225501 239814 300668 319752 329832 359721 451002 479628 601336 676503 719442 902004 959256 1353006 1438884 1804008 2029509 2260469 2706012 2877768 4059018 4520938 5412024 6088527 6781407 8118036 9041876 12177054 13562814 16236072 18083752 20344221 24354108 27125628 38260003 40688442 48708216 54251256 61032663 76520006 81376884 114780009 122065326 153040012 162753768 183097989 229560018 244130652 306080024 333816647 344340027 366195978 459120036 488261304 667633294 688680054 732391956 918240072 1001449941 1033020081 1335266588 1377360108 1464783912 2002899882 2066040162 2670533176 2754720216 3004349823 3099060243 4005799764 4132080324 6008699646 6198120486 8011599528 8264160648 9013049469 12017399292 12396240972 18026098938 24034798584 24792481944 27039148407 36052197876 54078296814 72104395752 108156593628 169912673323 216313187256 339825346646 509738019969 679650693292 1019476039938 1359301386584 1529214059907 2038952079876 3058428119814 4077904159752 4587642179721 6116856239628 9175284359442 12233712479256 13762926539163 18350568718884 27525853078326 36701137437768 55051706156652 110103412313304