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100220220100100 = 22523727086545973
BaseRepresentation
bin10110110010011001010110…
…100111100100111000000100
3111010211221220110021201121102
4112302121112213210320010
5101114002002321200400
6553052311123435232
730052446324124352
oct2662312647447004
9433757813251542
10100220220100100
1129a2a17a568901
12b2a7424b25b18
1343bc959613b99
141aa69825107d2
15b8be57e899d5
hex5b26569e4e04

100220220100100 has 36 divisors (see below), whose sum is σ = 223355658101604. Its totient is φ = 39004626199680.

The previous prime is 100220220099997. The next prime is 100220220100151. The reversal of 100220220100100 is 1001022022001.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3106251151936 + 97113968948164 = 1762456^2 + 9854642^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13543269287 + ... + 13543276686.

Almost surely, 2100220220100100 is an apocalyptic number.

100220220100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100220220100100 is an abundant number, since it is smaller than the sum of its proper divisors (123135438001504).

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

100220220100100 is a wasteful number, since it uses less digits than its factorization.

100220220100100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27086546024 (or 27086546017 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 100220220100100 its reverse (1001022022001), we get a palindrome (101221242122101).

The spelling of 100220220100100 in words is "one hundred trillion, two hundred twenty billion, two hundred twenty million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 27086545973 54173091946 108346183892 135432729865 270865459730 541730919460 677163649325 1002202201001 1354327298650 2004404402002 2708654597300 4008808804004 5011011005005 10022022010010 20044044020020 25055055025025 50110110050050 100220220100100