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101210112000210 = 235227110316378231
BaseRepresentation
bin10111000000110011010000…
…110001100000000011010010
3111021100120222201112110210110
4113000303100301200003102
5101231211302133001320
6555131141130342150
730214121632342413
oct2700632061400322
9437316881473713
10101210112000210
112a280a70755734
12b42724588a956
1344620c36a3a15
141adc84a2d580a
15ba7a920dd5e0
hex5c0cd0c600d2

101210112000210 has 128 divisors (see below), whose sum is σ = 244374381748224. Its totient is φ = 26826446900480.

The previous prime is 101210112000199. The next prime is 101210112000223. The reversal of 101210112000210 is 12000211012101.

It is a super-3 number, since 3×1012101120002103 (a number of 43 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12296206795 + ... + 12296215025.

It is an arithmetic number, because the mean of its divisors is an integer number (1909174857408).

Almost surely, 2101210112000210 is an apocalyptic number.

101210112000210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101210112000210 is an abundant number, since it is smaller than the sum of its proper divisors (143164269748014).

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

101210112000210 is a wasteful number, since it uses less digits than its factorization.

101210112000210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11208.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101210112000210 its reverse (12000211012101), we get a palindrome (113210323012311).

The spelling of 101210112000210 in words is "one hundred one trillion, two hundred ten billion, one hundred twelve million, two hundred ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 10 15 30 227 454 681 1103 1135 1362 1637 2206 2270 3274 3309 3405 4911 5515 6618 6810 8185 8231 9822 11030 16370 16462 16545 24555 24693 33090 41155 49110 49386 82310 123465 246930 250381 371599 500762 743198 751143 1114797 1251905 1502286 1805611 1857995 1868437 2229594 2503810 3611222 3715990 3736874 3755715 5416833 5573985 5605311 7511430 9028055 9078793 9342185 10833666 11147970 11210622 13474147 18056110 18157586 18684370 26948294 27084165 27236379 28026555 40422441 45393965 54168330 54472758 56053110 67370735 80844882 90787930 134741470 136181895 202112205 272363790 404224410 409873697 819747394 1229621091 2049368485 2060886011 2459242182 3058631369 4098736970 4121772022 6117262738 6148105455 6182658033 9175894107 10304430055 12296210910 12365316066 14861984141 15293156845 18351788214 20608860110 29723968282 30586313690 30913290165 44585952423 45879470535 61826580330 74309920705 89171904846 91758941070 148619841410 222929762115 445859524230 3373670400007 6747340800014 10121011200021 16868352000035 20242022400042 33736704000070 50605056000105 101210112000210