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110301322121130 = 235717918116211747
BaseRepresentation
bin11001000101000110000111…
…000111111000111110101010
3112110112200222210021112002110
4121011012013013320332222
5103424134101430334010
61030331421114343150
732143002405344610
oct3105060707707652
9473480883245073
10110301322121130
1132166589873688
121045517572aab6
1349714a6cb1a5a
141d348808c16b0
15cb42cced1120
hex6451871f8faa

110301322121130 has 128 divisors (see below), whose sum is σ = 305911793940480. Its totient is φ = 24932368408320.

The previous prime is 110301322121119. The next prime is 110301322121149. The reversal of 110301322121130 is 31121223103011.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 110301322121097 and 110301322121106.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1302084 + ... + 14909663.

It is an arithmetic number, because the mean of its divisors is an integer number (2389935890160).

Almost surely, 2110301322121130 is an apocalyptic number.

110301322121130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 110301322121130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152955896970240).

110301322121130 is an abundant number, since it is smaller than the sum of its proper divisors (195610471819350).

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

110301322121130 is a wasteful number, since it uses less digits than its factorization.

110301322121130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16212124.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 110301322121130 its reverse (31121223103011), we get a palindrome (141422545224141).

The spelling of 110301322121130 in words is "one hundred ten trillion, three hundred one billion, three hundred twenty-two million, one hundred twenty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 179 181 210 358 362 537 543 895 905 1074 1086 1253 1267 1790 1810 2506 2534 2685 2715 3759 3801 5370 5430 6265 6335 7518 7602 12530 12670 18795 19005 32399 37590 38010 64798 97197 161995 194394 226793 323990 453586 485985 680379 971970 1133965 1360758 2267930 3401895 6803790 16211747 32423494 48635241 81058735 97270482 113482229 162117470 226964458 243176205 340446687 486352410 567411145 680893374 1134822290 1702233435 2901902713 2934326207 3404466870 5803805426 5868652414 8705708139 8802978621 14509513565 14671631035 17411416278 17605957242 20313318991 20540283449 29019027130 29343262070 40626637982 41080566898 43528540695 44014893105 60939956973 61620850347 87057081390 88029786210 101566594955 102701417245 121879913946 123241700694 203133189910 205402834490 304699784865 308104251735 525244391053 609399569730 616208503470 1050488782106 1575733173159 2626221955265 3151466346318 3676710737371 5252443910530 7353421474742 7878665865795 11030132212113 15757331731590 18383553686855 22060264424226 36767107373710 55150661060565 110301322121130