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101256426 = 23313713687
BaseRepresentation
bin1100000100100…
…00110011101010
321001112100201000
412002100303222
5201410201201
614014135430
72336444145
oct602206352
9231470630
10101256426
115217a4a7
1229ab1576
1317c9365b
14d63b05c
158d51d86
hex6090cea

101256426 has 32 divisors (see below), whose sum is σ = 226673280. Its totient is φ = 33503328.

The previous prime is 101256409. The next prime is 101256427. The reversal of 101256426 is 624652101.

101256426 is a `hidden beast` number, since 1 + 0 + 12 + 5 + 642 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 101256426.

It is not an unprimeable number, because it can be changed into a prime (101256427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 555 + ... + 14241.

It is an arithmetic number, because the mean of its divisors is an integer number (7083540).

Almost surely, 2101256426 is an apocalyptic number.

101256426 is an abundant number, since it is smaller than the sum of its proper divisors (125416854).

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

101256426 is a wasteful number, since it uses less digits than its factorization.

101256426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13835 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 101256426 is about 10062.6252041900. The cubic root of 101256426 is about 466.0947359690.

The spelling of 101256426 in words is "one hundred one million, two hundred fifty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 54 137 274 411 822 1233 2466 3699 7398 13687 27374 41061 82122 123183 246366 369549 739098 1875119 3750238 5625357 11250714 16876071 33752142 50628213 101256426