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10311003131 = 1113109661513
BaseRepresentation
bin10011001101001010…
…10110101111111011
3222121120222020012212
421212211112233323
5132104104100011
64423052325335
7513342036422
oct114645265773
928546866185
1010311003131
1144113242a0
121bb917384b
13c8426b5b0
146db59c2b9
1540534208b
hex266956bfb

10311003131 has 16 divisors (see below), whose sum is σ = 12224778720. Its totient is φ = 8573195520.

The previous prime is 10311003119. The next prime is 10311003299. The reversal of 10311003131 is 13130011301.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10311003131 - 226 = 10243894267 is a prime.

It is a super-2 number, since 2×103110031312 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10311053131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 315170 + ... + 346343.

It is an arithmetic number, because the mean of its divisors is an integer number (764048670).

Almost surely, 210311003131 is an apocalyptic number.

10311003131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10311003131 is a deficient number, since it is larger than the sum of its proper divisors (1913775589).

10311003131 is a wasteful number, since it uses less digits than its factorization.

10311003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661646.

The product of its (nonzero) digits is 27, while the sum is 14.

Adding to 10311003131 its reverse (13130011301), we get a palindrome (23441014432).

The spelling of 10311003131 in words is "ten billion, three hundred eleven million, three thousand, one hundred thirty-one".

Divisors: 1 11 13 109 143 1199 1417 15587 661513 7276643 8599669 72104917 94596359 793154087 937363921 10311003131