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100122011000020 = 22512113941325259
BaseRepresentation
bin10110110000111101111000…
…111001100101110011010100
3111010111120102002112112012101
4112300331320321211303110
5101110344334304000040
6552535230013531444
730042401524422412
oct2660757071456324
9433446362475171
10100122011000020
11299a1563041389
12b290396aa3b84
1343b3607b59449
141aa1d072782b2
15b8960b0ac09a
hex5b0f78e65cd4

100122011000020 has 24 divisors (see below), whose sum is σ = 210257963848800. Its totient is φ = 40048472828832.

The previous prime is 100122010999979. The next prime is 100122011000027. The reversal of 100122011000020 is 20000110221001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100122010999970 and 100122011000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122011000027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18239850 + ... + 23085409.

It is an arithmetic number, because the mean of its divisors is an integer number (8760748493700).

Almost surely, 2100122011000020 is an apocalyptic number.

100122011000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122011000020 is an abundant number, since it is smaller than the sum of its proper divisors (110135952848780).

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

100122011000020 is a wasteful number, since it uses less digits than its factorization.

100122011000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41446407 (or 41446405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100122011000020 its reverse (20000110221001), we get a palindrome (120122121221021).

The spelling of 100122011000020 in words is "one hundred trillion, one hundred twenty-two billion, eleven million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 121139 242278 484556 605695 1211390 2422780 41325259 82650518 165301036 206626295 413252590 826505180 5006100550001 10012201100002 20024402200004 25030502750005 50061005500010 100122011000020