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23105901 = 37213107113
BaseRepresentation
bin101100000100…
…1000101101101
31121110220100010
41120021011231
521403342101
62143123433
7400253100
oct130110555
947426303
1023105901
1112051895
1278a3579
134a30040
1430d6737
1520662d6
hex160916d

23105901 has 48 divisors (see below), whose sum is σ = 39299904. Its totient is φ = 11966976.

The previous prime is 23105899. The next prime is 23105903. The reversal of 23105901 is 10950132.

It is an interprime number because it is at equal distance from previous prime (23105899) and next prime (23105903).

It is not a de Polignac number, because 23105901 - 21 = 23105899 is a prime.

It is a super-2 number, since 2×231059012 = 1067765322043602, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23105903) 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 47 ways as a sum of consecutive naturals, for example, 204421 + ... + 204533.

It is an arithmetic number, because the mean of its divisors is an integer number (818748).

Almost surely, 223105901 is an apocalyptic number.

23105901 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23105901 is a deficient number, since it is larger than the sum of its proper divisors (16194003).

23105901 is a wasteful number, since it uses less digits than its factorization.

23105901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 23105901 is about 4806.8597857645. The cubic root of 23105901 is about 284.8225056714.

The spelling of 23105901 in words is "twenty-three million, one hundred five thousand, nine hundred one".

Divisors: 1 3 7 13 21 39 49 91 107 113 147 273 321 339 637 749 791 1391 1469 1911 2247 2373 4173 4407 5243 5537 9737 10283 12091 15729 16611 29211 30849 36273 68159 71981 84637 157183 204477 215943 253911 471549 592459 1100281 1777377 3300843 7701967 23105901