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100122011320023 = 32711163886357097
BaseRepresentation
bin10110110000111101111000…
…111010110011111011010111
3111010111120102010010210011100
4112300331320322303323113
5101110344334344220043
6552535230024441143
730042401530224360
oct2660757072637327
9433446363123140
10100122011320023
11299a156323a850
12b2903970191b3
1343b3607c3bcb4
141aa1d0731cb67
15b8960b121cd3
hex5b0f78eb3ed7

100122011320023 has 48 divisors (see below), whose sum is σ = 181412479961856. Its totient is φ = 51692345838720.

The previous prime is 100122011319989. The next prime is 100122011320049. The reversal of 100122011320023 is 320023110221001.

100122011320023 is a `hidden beast` number, since 100 + 1 + 220 + 1 + 1 + 320 + 0 + 23 = 666.

It is not a de Polignac number, because 100122011320023 - 28 = 100122011319767 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100122011319978 and 100122011320005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122011340023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443065590 + ... + 443291507.

It is an arithmetic number, because the mean of its divisors is an integer number (3779426665872).

Almost surely, 2100122011320023 is an apocalyptic number.

100122011320023 is a deficient number, since it is larger than the sum of its proper divisors (81290468641833).

100122011320023 is a wasteful number, since it uses less digits than its factorization.

100122011320023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886357284 (or 886357281 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100122011320023 its reverse (320023110221001), we get a palindrome (420145121541024).

The spelling of 100122011320023 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, three hundred twenty thousand, twenty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 163 231 489 693 1141 1467 1793 3423 5379 10269 12551 16137 37653 112959 886357097 2659071291 6204499679 7977213873 9749928067 18613499037 29249784201 55840497111 68249496469 87749352603 144476206811 204748489407 433428620433 614245468221 1011333447677 1300285861299 1589238274921 3034000343031 4767714824763 9102001029093 11124667924447 14303144474289 33374003773341 100122011320023