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11312003131 = 11137310110729
BaseRepresentation
bin10101000100011111…
…10111100000111011
31002012100112022001221
422202033313200323
5141131333100011
65110251252511
7550215303652
oct124217674073
932170468057
1011312003131
114885370420
12223844a137
1310b37689a0
147944ca199
1546316e971
hex2a23f783b

11312003131 has 32 divisors (see below), whose sum is σ = 13606326720. Its totient is φ = 9268992000.

The previous prime is 11312003069. The next prime is 11312003147. The reversal of 11312003131 is 13130021311.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-11312003131 is a prime.

It is a super-2 number, since 2×113120031312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11312003161) 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 31 ways as a sum of consecutive naturals, for example, 1048975 + ... + 1059703.

It is an arithmetic number, because the mean of its divisors is an integer number (425197710).

Almost surely, 211312003131 is an apocalyptic number.

11312003131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

11312003131 is a deficient number, since it is larger than the sum of its proper divisors (2294323589).

11312003131 is a wasteful number, since it uses less digits than its factorization.

11312003131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 11312003131 its reverse (13130021311), we get a palindrome (24442024442).

The spelling of 11312003131 in words is "eleven billion, three hundred twelve million, three thousand, one hundred thirty-one".

Divisors: 1 11 13 73 101 143 803 949 1111 1313 7373 10439 10729 14443 81103 95849 118019 139477 783217 1054339 1083629 1534247 8615387 10181821 11919919 14087177 79104917 112000031 154958947 870154087 1028363921 11312003131