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101919012 = 223131738431
BaseRepresentation
bin1100001001100…
…10100100100100
321002210000121020
412010302210210
5202042402022
614040251140
72345203656
oct604624444
9232700536
10101919012
1152592298
122a170ab0
1318166110
14d7706d6
158e3335c
hex6132924

101919012 has 48 divisors (see below), whose sum is σ = 271176192. Its totient is φ = 29514240.

The previous prime is 101919011. The next prime is 101919043. The reversal of 101919012 is 210919101.

It is a super-2 number, since 2×1019190122 = 20774970014112288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101919011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16564 + ... + 21867.

It is an arithmetic number, because the mean of its divisors is an integer number (5649504).

Almost surely, 2101919012 is an apocalyptic number.

101919012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101919012 is an abundant number, since it is smaller than the sum of its proper divisors (169257180).

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

101919012 is a wasteful number, since it uses less digits than its factorization.

101919012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38468 (or 38466 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 24.

The square root of 101919012 is about 10095.4946386990. The cubic root of 101919012 is about 467.1091791251.

The spelling of 101919012 in words is "one hundred one million, nine hundred nineteen thousand, twelve".

Divisors: 1 2 3 4 6 12 13 17 26 34 39 51 52 68 78 102 156 204 221 442 663 884 1326 2652 38431 76862 115293 153724 230586 461172 499603 653327 999206 1306654 1498809 1959981 1998412 2613308 2997618 3919962 5995236 7839924 8493251 16986502 25479753 33973004 50959506 101919012