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100120220222202 = 233127105113890619
BaseRepresentation
bin10110110000111100001110…
…001010010100001011111010
3111010111101210021212120212000
4112300330032022110023322
5101110332202334102302
6552534332203201430
730042306251155005
oct2660741612241372
9433441707776760
10100120220222202
11299a0824206514
12b28bb77216276
1343b33b0b47bbb
141aa1bb74c253c
15b89553c7631c
hex5b0f0e2942fa

100120220222202 has 64 divisors (see below), whose sum is σ = 224454639206400. Its totient is φ = 33079117705200.

The previous prime is 100120220222179. The next prime is 100120220222219. The reversal of 100120220222202 is 202222022021001.

100120220222202 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 20 + 220 + 222 + 202 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 262449 + ... + 14153067.

It is an arithmetic number, because the mean of its divisors is an integer number (3507103737600).

Almost surely, 2100120220222202 is an apocalyptic number.

100120220222202 is an abundant number, since it is smaller than the sum of its proper divisors (124334418984198).

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

100120220222202 is a wasteful number, since it uses less digits than its factorization.

100120220222202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13891808 (or 13891802 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 100120220222202 its reverse (202222022021001), we get a palindrome (302342242243203).

The spelling of 100120220222202 in words is "one hundred trillion, one hundred twenty billion, two hundred twenty million, two hundred twenty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 27 54 127 254 381 762 1051 1143 2102 2286 3153 3429 6306 6858 9459 18918 28377 56754 133477 266954 400431 800862 1201293 2402586 3603879 7207758 13890619 27781238 41671857 83343714 125015571 250031142 375046713 750093426 1764108613 3528217226 5292325839 10584651678 14599040569 15876977517 29198081138 31753955034 43797121707 47630932551 87594243414 95261865102 131391365121 262782730242 394174095363 788348190726 1854078152263 3708156304526 5562234456789 11124468913578 16686703370367 33373406740734 50060110111101 100120220222202