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10333413431 = 112831915387
BaseRepresentation
bin10011001111110101…
…10110000000110111
3222200011010210100222
421213322312000313
5132130323212211
64425212524555
7514033364525
oct114772660067
928604123328
1010333413431
114422a40500
12200478075b
13c88ab6b23
14700553315
154072bc1db
hex267eb6037

10333413431 has 24 divisors (see below), whose sum is σ = 11557389312. Its totient is φ = 9230526800.

The previous prime is 10333413421. The next prime is 10333413491. The reversal of 10333413431 is 13431433301.

It is not a de Polignac number, because 10333413431 - 214 = 10333397047 is a prime.

It is a super-2 number, since 2×103334134312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10333413431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10333413401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1915520 + ... + 1920906.

It is an arithmetic number, because the mean of its divisors is an integer number (481557888).

Almost surely, 210333413431 is an apocalyptic number.

10333413431 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10333413431 is a deficient number, since it is larger than the sum of its proper divisors (1223975881).

10333413431 is a wasteful number, since it uses less digits than its factorization.

10333413431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5672 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

Adding to 10333413431 its reverse (13431433301), we get a palindrome (23764846732).

The spelling of 10333413431 in words is "ten billion, three hundred thirty-three million, four hundred thirteen thousand, four hundred thirty-one".

Divisors: 1 11 83 121 191 913 2101 5387 10043 15853 23111 59257 174383 447121 651827 1028917 1918213 4918331 11318087 54101641 85400111 124498957 939401221 10333413431