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102001112101110 = 235179106324177393
BaseRepresentation
bin10111001100010011111100…
…000011011011000011110110
3111101011012200212202222011210
4113030103330003123003312
5101332141234144213420
61000534355231542250
730325223434303515
oct2714237403330366
9441135625688153
10102001112101110
112a556479687a92
12b5345ba08a986
1344bb881c06cc1
141b28c4727067c
15bbd43a2239e0
hex5cc4fc0db0f6

102001112101110 has 128 divisors (see below), whose sum is σ = 246537150612480. Its totient is φ = 27008060276736.

The previous prime is 102001112101103. The next prime is 102001112101129. The reversal of 102001112101110 is 11101211100201.

It is a congruent number.

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, 13796981574 + ... + 13796988966.

It is an arithmetic number, because the mean of its divisors is an integer number (1926071489160).

Almost surely, 2102001112101110 is an apocalyptic number.

102001112101110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102001112101110 is an abundant number, since it is smaller than the sum of its proper divisors (144536038511370).

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

102001112101110 is a wasteful number, since it uses less digits than its factorization.

102001112101110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11062.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 102001112101110 its reverse (11101211100201), we get a palindrome (113102323201311).

The spelling of 102001112101110 in words is "one hundred two trillion, one billion, one hundred twelve million, one hundred one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 179 358 537 895 1063 1074 1790 2126 2417 2685 3189 4834 5315 5370 6378 7251 7393 10630 12085 14502 14786 15945 22179 24170 31890 36255 36965 44358 72510 73930 110895 190277 221790 380554 432643 570831 865286 951385 1141662 1297929 1323347 1902770 2163215 2569271 2595858 2646694 2854155 3970041 4326430 5138542 5708310 6489645 6616735 7707813 7858759 7940082 12846355 12979290 13233470 15415626 15717518 17868881 19850205 23576277 25692710 35737762 38539065 39293795 39700410 47152554 53606643 77078130 78587590 89344405 107213286 117881385 178688810 235762770 268033215 459899509 536066430 919799018 1379698527 1406717861 2299497545 2759397054 2813435722 3198529699 4220153583 4598995090 6397059398 6898492635 7033589305 8440307166 9595589097 13796985270 14067178610 15992648495 18994620503 19191178194 21100767915 31985296990 37989241006 42201535830 47977945485 56983861509 94973102515 95955890970 113967723018 189946205030 284919307545 569838615090 3400037070037 6800074140074 10200111210111 17000185350185 20400222420222 34000370700370 51000556050555 102001112101110