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100102200022200 = 23352347480798271
BaseRepresentation
bin10110110000101011011100…
…000100101101010010111000
3111010102200021102200120122010
4112300223130010231102320
5101110033301201202300
6552522152115525520
730041100556041525
oct2660533404552270
9433380242616563
10100102200022200
1129994117287542
12b2885882b98a0
1343b179b69416c
141aa0d8811814c
15b88d4bc2ca50
hex5b0adc12d4b8

100102200022200 has 96 divisors (see below), whose sum is σ = 311211105500160. Its totient is φ = 26616992227200.

The previous prime is 100102200022159. The next prime is 100102200022267. The reversal of 100102200022200 is 2220002201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240190936 + ... + 240607335.

It is an arithmetic number, because the mean of its divisors is an integer number (3241782348960).

Almost surely, 2100102200022200 is an apocalyptic number.

100102200022200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102200022200 is an abundant number, since it is smaller than the sum of its proper divisors (211108905477960).

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

100102200022200 is a wasteful number, since it uses less digits than its factorization.

100102200022200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480798637 (or 480798628 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 100102200022200 its reverse (2220002201001), we get a palindrome (102322202223201).

The spelling of 100102200022200 in words is "one hundred trillion, one hundred two billion, two hundred million, twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 347 600 694 1041 1388 1735 2082 2776 3470 4164 5205 6940 8328 8675 10410 13880 17350 20820 26025 34700 41640 52050 69400 104100 208200 480798271 961596542 1442394813 1923193084 2403991355 2884789626 3846386168 4807982710 5769579252 7211974065 9615965420 11539158504 12019956775 14423948130 19231930840 24039913550 28847896260 36059870325 48079827100 57695792520 72119740650 96159654200 144239481300 166837000037 288478962600 333674000074 500511000111 667348000148 834185000185 1001022000222 1334696000296 1668370000370 2002044000444 2502555000555 3336740000740 4004088000888 4170925000925 5005110001110 6673480001480 8341850001850 10010220002220 12512775002775 16683700003700 20020440004440 25025550005550 33367400007400 50051100011100 100102200022200