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10422022401 = 327315879091
BaseRepresentation
bin10011011010011001…
…10111000100000001
3222220022212121000200
421231030313010001
5132321014204101
64442100035413
7516160504650
oct115514670401
928808777020
1010422022401
114468a6175a
12202a392b69
13ca126c87b
1470c21b197
1540ee71986
hex26d337101

10422022401 has 48 divisors (see below), whose sum is σ = 17791807488. Its totient is φ = 5752879200.

The previous prime is 10422022357. The next prime is 10422022409.

10422022401 is a `hidden beast` number, since 1 + 0 + 422 + 0 + 2 + 240 + 1 = 666.

10422022401 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2k-10422022401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10422022409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1141866 + ... + 1150956.

It is an arithmetic number, because the mean of its divisors is an integer number (370662656).

Almost surely, 210422022401 is an apocalyptic number.

It is an amenable number.

10422022401 is a deficient number, since it is larger than the sum of its proper divisors (7369785087).

10422022401 is a wasteful number, since it uses less digits than its factorization.

10422022401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9722 (or 9719 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 104220 and 22401, that added together give a palindrome (126621).

The spelling of 10422022401 in words is "ten billion, four hundred twenty-two million, twenty-two thousand, four hundred one".

Divisors: 1 3 7 9 21 31 63 93 217 279 587 651 1761 1953 4109 5283 9091 12327 18197 27273 36981 54591 63637 81819 127379 163773 190911 281821 382137 572733 845463 1146411 1972747 2536389 5336417 5918241 16009251 17754723 37354919 48027753 112064757 165428927 336194271 496286781 1158002489 1488860343 3474007467 10422022401