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100120010022010 = 251129121612580839
BaseRepresentation
bin10110110000111100000001…
…101000011101110001111010
3111010111101020122100022101201
4112300330001220131301322
5101110331240031201020
6552534255254004414
730042301116405316
oct2660740150356172
9433441218308351
10100120010022010
11299a0726596a50
12b28bb1894670a
1343b337942bba4
141aa1b97606b46
15b895405a4a0a
hex5b0f01a1dc7a

100120010022010 has 64 divisors (see below), whose sum is σ = 203395380998400. Its totient is φ = 35148948889600.

The previous prime is 100120010021989. The next prime is 100120010022047. The reversal of 100120010022010 is 10220010021001.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37503171 + ... + 40084009.

It is an arithmetic number, because the mean of its divisors is an integer number (3178052828100).

Almost surely, 2100120010022010 is an apocalyptic number.

100120010022010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100120010022010 is an abundant number, since it is smaller than the sum of its proper divisors (103275370976390).

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

100120010022010 is a wasteful number, since it uses less digits than its factorization.

100120010022010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2593047.

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

Adding to 100120010022010 its reverse (10220010021001), we get a palindrome (110340020043011).

The spelling of 100120010022010 in words is "one hundred trillion, one hundred twenty billion, ten million, twenty-two thousand, ten".

Divisors: 1 2 5 10 11 22 29 55 58 110 145 290 319 638 1595 3190 12161 24322 60805 121610 133771 267542 352669 668855 705338 1337710 1763345 2580839 3526690 3879359 5161678 7758718 12904195 19396795 25808390 28389229 38793590 56778458 74844331 141946145 149688662 283892290 374221655 748443310 823287641 1646575282 4116438205 8232876410 31385583079 62771166158 156927915395 313855830790 345241413869 690482827738 910181909291 1726207069345 1820363818582 3452414138690 4550909546455 9101819092910 10012001002201 20024002004402 50060005011005 100120010022010