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1010122110096 = 2431119791274557
BaseRepresentation
bin11101011001011111111…
…10000011010010010000
310120120022010221220011120
432230233332003102100
5113022212230010341
62052013234242240
7132656524161051
oct16545776032220
93516263856146
101010122110096
1135a432663040
12143927a26380
137433c36b4b8
1436c668b4728
151b4201e5066
hexeb2ff83490

1010122110096 has 160 divisors (see below), whose sum is σ = 3034467686400. Its totient is φ = 286316259840.

The previous prime is 1010122110047. The next prime is 1010122110139. The reversal of 1010122110096 is 6900112210101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 155250 + ... + 1429806.

It is an arithmetic number, because the mean of its divisors is an integer number (18965423040).

Almost surely, 21010122110096 is an apocalyptic number.

1010122110096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010122110096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517233843200).

1010122110096 is an abundant number, since it is smaller than the sum of its proper divisors (2024345576304).

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

1010122110096 is a wasteful number, since it uses less digits than its factorization.

1010122110096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1274677 (or 1274671 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 24.

Adding to 1010122110096 its reverse (6900112210101), we get a palindrome (7910234320197).

The spelling of 1010122110096 in words is "one trillion, ten billion, one hundred twenty-two million, one hundred ten thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 79 88 114 132 152 158 176 209 228 237 264 304 316 418 456 474 528 627 632 836 869 912 948 1254 1264 1501 1672 1738 1896 2508 2607 3002 3344 3476 3792 4503 5016 5214 6004 6952 9006 10032 10428 12008 13904 16511 18012 20856 24016 33022 36024 41712 49533 66044 72048 99066 132088 198132 264176 396264 792528 1274557 2549114 3823671 5098228 7647342 10196456 14020127 15294684 20392912 24216583 28040254 30589368 42060381 48433166 56080508 61178736 72649749 84120762 96866332 100690003 112161016 145299498 168241524 193732664 201380006 224322032 266382413 290598996 302070009 336483048 387465328 402760012 532764826 581197992 604140018 672966096 799147239 805520024 1065529652 1107590033 1162395984 1208280036 1598294478 1611040048 1913110057 2131059304 2215180066 2416560072 3196588956 3322770099 3826220114 4262118608 4430360132 4833120144 5739330171 6393177912 6645540198 7652440228 8860720264 11478660342 12786355824 13291080396 15304880456 17721440528 21044210627 22957320684 26582160792 30609760912 42088421254 45914641368 53164321584 63132631881 84176842508 91829282736 126265263762 168353685016 252530527524 336707370032 505061055048 1010122110096