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103022454045104 = 241161127199379693
BaseRepresentation
bin10111011011001011001000…
…110001101111100110110000
3111111202211221221211110222222
4113123023020301233212300
5102000404441213420404
61003035510110220212
730462061310502566
oct2733131061574660
9444684857743888
10103022454045104
112a90a639578320
12b67a5374b4668
134563c8b8aca69
141b62455cbba36
15bd9cb542ddbe
hex5db2c8c6f9b0

103022454045104 has 160 divisors (see below), whose sum is σ = 224185917849600. Its totient is φ = 45468268876800.

The previous prime is 103022454045097. The next prime is 103022454045127. The reversal of 103022454045104 is 401540454220301.

It is a happy number.

It is a super-2 number, since 2×1030224540451042 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 271141082 + ... + 271520774.

It is an arithmetic number, because the mean of its divisors is an integer number (1401161986560).

Almost surely, 2103022454045104 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 103022454045104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112092958924800).

103022454045104 is an abundant number, since it is smaller than the sum of its proper divisors (121163463804496).

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

103022454045104 is a wasteful number, since it uses less digits than its factorization.

103022454045104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380099 (or 380093 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 103022454045104 in words is "one hundred three trillion, twenty-two billion, four hundred fifty-four million, forty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 44 61 88 122 127 176 199 244 254 398 488 508 671 796 976 1016 1342 1397 1592 2032 2189 2684 2794 3184 4378 5368 5588 7747 8756 10736 11176 12139 15494 17512 22352 24278 25273 30988 35024 48556 50546 61976 85217 97112 101092 123952 133529 170434 194224 202184 267058 278003 340868 379693 404368 534116 556006 681736 759386 1068232 1112012 1363472 1518772 1541653 2136464 2224024 3037544 3083306 4176623 4448048 6075088 6166612 8353246 12333224 16706492 16958183 23161273 24666448 33412984 33916366 46322546 48221011 66825968 67832732 75558907 92645092 96442022 135665464 151117814 185290184 192884044 254774003 271330928 302235628 370580368 385768088 509548006 530431121 604471256 771536176 831147977 1019096012 1060862242 1208942512 1662295954 2038192024 2121724484 2941481671 3324591908 4076384048 4243448968 4609093327 5882963342 6649183816 8486897936 9218186654 9595981189 11765926684 13298367632 18436373308 19191962378 23531853368 32356298381 36872746616 38383924756 47063706736 50700026597 64712596762 73745493232 76767849512 101400053194 105555793079 129425193524 153535699024 202800106388 211111586158 258850387048 405600212776 422223172316 517700774096 585354852529 811200425552 844446344632 1170709705058 1688892689264 2341419410116 4682838820232 6438903377819 9365677640464 12877806755638 25755613511276 51511227022552 103022454045104