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101961492 = 223371311753
BaseRepresentation
bin1100001001111…
…00111100010100
321002212011212120
412010330330110
5202100231432
614041215540
72345441553
oct604747424
9232764776
10101961492
11526111a6
122a1915b0
131817c559
14d781d9a
158e40c2c
hex613cf14

101961492 has 48 divisors (see below), whose sum is σ = 246345792. Its totient is φ = 32797440.

The previous prime is 101961473. The next prime is 101961521. The reversal of 101961492 is 294169101.

It is a super-2 number, since 2×1019614922 = 20792291701732128, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 57288 + ... + 59040.

It is an arithmetic number, because the mean of its divisors is an integer number (5132204).

Almost surely, 2101961492 is an apocalyptic number.

101961492 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101961492 is an abundant number, since it is smaller than the sum of its proper divisors (144384300).

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

101961492 is a wasteful number, since it uses less digits than its factorization.

101961492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 101961492 is about 10097.5983283155. The cubic root of 101961492 is about 467.1740673841.

The spelling of 101961492 in words is "one hundred one million, nine hundred sixty-one thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 12 37 74 111 131 148 222 262 393 444 524 786 1572 1753 3506 4847 5259 7012 9694 10518 14541 19388 21036 29082 58164 64861 129722 194583 229643 259444 389166 459286 688929 778332 918572 1377858 2755716 8496791 16993582 25490373 33987164 50980746 101961492