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10212304431 = 374714537121
BaseRepresentation
bin10011000001011001…
…10110011000101111
3222100201020211001110
421200230312120233
5131403322220211
64405205043103
7511033104210
oct114054663057
928321224043
1010212304431
11437064151a
121b900b6493
13c699921b4
146cc429407
153eb847ea6
hex260b3662f

10212304431 has 32 divisors (see below), whose sum is σ = 15905875968. Its totient is φ = 5706708480.

The previous prime is 10212304423. The next prime is 10212304457. The reversal of 10212304431 is 13440321201.

10212304431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10212304431 - 23 = 10212304423 is a prime.

It is a super-2 number, since 2×102123044312 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10212304398 and 10212304407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212304411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430551 + ... + 1437671.

It is an arithmetic number, because the mean of its divisors is an integer number (497058624).

Almost surely, 210212304431 is an apocalyptic number.

10212304431 is a deficient number, since it is larger than the sum of its proper divisors (5693571537).

10212304431 is a wasteful number, since it uses less digits than its factorization.

10212304431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8631.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10212304431 its reverse (13440321201), we get a palindrome (23652625632).

The spelling of 10212304431 in words is "ten billion, two hundred twelve million, three hundred four thousand, four hundred thirty-one".

Divisors: 1 3 7 21 47 141 329 987 1453 4359 7121 10171 21363 30513 49847 68291 149541 204873 334687 478037 1004061 1434111 2342809 7028427 10346813 31040439 72427691 217283073 486300211 1458900633 3404101477 10212304431