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10101009312 = 253311690983
BaseRepresentation
bin10010110100001000…
…10010101110100000
3222001221211102212000
421122010102232200
5131141324244222
64350151404000
7505212106512
oct113204225640
928057742760
1010101009312
114313835889
121b5a983600
13c4c8c54b4
146bb737bb2
153e1bb19ac
hex25a112ba0

10101009312 has 48 divisors (see below), whose sum is σ = 29461279680. Its totient is φ = 3367002816.

The previous prime is 10101009241. The next prime is 10101009397. The reversal of 10101009312 is 21390010101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×101010093122 (a number of 21 digits) contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5844628 + ... + 5846355.

It is an arithmetic number, because the mean of its divisors is an integer number (613776660).

Almost surely, 210101009312 is an apocalyptic number.

10101009312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10101009312 is an abundant number, since it is smaller than the sum of its proper divisors (19360270368).

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

10101009312 is a wasteful number, since it uses less digits than its factorization.

10101009312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11691002 (or 11690988 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 10101009312 its reverse (21390010101), we get a palindrome (31491019413).

The spelling of 10101009312 in words is "ten billion, one hundred one million, nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11690983 23381966 35072949 46763932 70145898 93527864 105218847 140291796 187055728 210437694 280583592 315656541 374111456 420875388 561167184 631313082 841750776 1122334368 1262626164 1683501552 2525252328 3367003104 5050504656 10101009312