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100012221102200 = 235211259431752307
BaseRepresentation
bin10110101111010111101000…
…111010010111100001111000
3111010010002000122110211211112
4112233113220322113201320
5101102100012100232300
6552412551411215452
730031434033612641
oct2657275072274170
9433102018424745
10100012221102200
1129959a43554140
12b2730565a7588
1343a615c042a74
141a9a88dd466c8
15b86832666e35
hex5af5e8e97878

100012221102200 has 96 divisors (see below), whose sum is σ = 253677283436160. Its totient is φ = 36366657801600.

The previous prime is 100012221102127. The next prime is 100012221102337. The reversal of 100012221102200 is 2201122210001.

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, 56198447 + ... + 57950753.

It is an arithmetic number, because the mean of its divisors is an integer number (2642471702460).

Almost surely, 2100012221102200 is an apocalyptic number.

100012221102200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012221102200 is an abundant number, since it is smaller than the sum of its proper divisors (153665062333960).

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

100012221102200 is a wasteful number, since it uses less digits than its factorization.

100012221102200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1778277 (or 1778268 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 100012221102200 its reverse (2201122210001), we get a palindrome (102213343312201).

The spelling of 100012221102200 in words is "one hundred trillion, twelve billion, two hundred twenty-one million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 25943 51886 103772 129715 207544 259430 285373 518860 570746 648575 1037720 1141492 1297150 1426865 1752307 2282984 2594300 2853730 3504614 5188600 5707460 7009228 7134325 8761535 11414920 14018456 14268650 17523070 19275377 28537300 35046140 38550754 43807675 57074600 70092280 77101508 87615350 96376885 154203016 175230700 192753770 350461400 385507540 481884425 771015080 963768850 1927537700 3855075400 45460100501 90920201002 181840402004 227300502505 363680804008 454601005010 500061105511 909202010020 1000122211022 1136502512525 1818404020040 2000244422044 2273005025050 2500305527555 4000488844088 4546010050100 5000611055110 9092020100200 10001222110220 12501527637775 20002444220440 25003055275550 50006110551100 100012221102200