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100131112232200 = 23527431165944833
BaseRepresentation
bin10110110001000110010111…
…011000000010010100001000
3111010112102220101010000122201
4112301012113120002110020
5101111022004212412300
6552543333052525544
730043143206550130
oct2661062730022410
9433472811100581
10100131112232200
11299a5403495875
12b2920b6a808b4
1343b442859202a
141aa252bcc1ac0
15b899900d366a
hex5b1197602508

100131112232200 has 96 divisors (see below), whose sum is σ = 266679986031360. Its totient is φ = 34251013324800.

The previous prime is 100131112232171. The next prime is 100131112232209. The reversal of 100131112232200 is 2232211131001.

It is not an unprimeable number, because it can be changed into a prime (100131112232209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82369017 + ... + 83575816.

It is an arithmetic number, because the mean of its divisors is an integer number (2777916521160).

Almost surely, 2100131112232200 is an apocalyptic number.

100131112232200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100131112232200 is an abundant number, since it is smaller than the sum of its proper divisors (166548873799160).

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

100131112232200 is a wasteful number, since it uses less digits than its factorization.

100131112232200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165945287 (or 165945278 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 100131112232200 its reverse (2232211131001), we get a palindrome (102363323363201).

The spelling of 100131112232200 in words is "one hundred trillion, one hundred thirty-one billion, one hundred twelve million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 431 700 862 1400 1724 2155 3017 3448 4310 6034 8620 10775 12068 15085 17240 21550 24136 30170 43100 60340 75425 86200 120680 150850 301700 603400 165944833 331889666 663779332 829724165 1161613831 1327558664 1659448330 2323227662 3318896660 4148620825 4646455324 5808069155 6637793320 8297241650 9292910648 11616138310 16594483300 23232276620 29040345775 33188966600 46464553240 58080691550 71522223023 116161383100 143044446046 232322766200 286088892092 357611115115 500655561161 572177784184 715222230230 1001311122322 1430444460460 1788055575575 2002622244644 2503277805805 2860888920920 3576111151150 4005244489288 5006555611610 7152222302300 10013111223220 12516389029025 14304444604600 20026222446440 25032778058050 50065556116100 100131112232200