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31143211234113 = 3115031876210087
BaseRepresentation
bin1110001010011000110000…
…00010101111001101000001
311002021021001221022122210010
413011030120002233031001
513040222244033442423
6150122554351255133
76363010543504146
oct705143002571501
9132237057278703
1031143211234113
119a17841926880
1235ab91a51a4a9
13144ba3b66cab4
147994a76d23cd
1539018e12d693
hex1c53180af341

31143211234113 has 16 divisors (see below), whose sum is σ = 45389274448896. Its totient is φ = 18837149263440.

The previous prime is 31143211234063. The next prime is 31143211234127.

It is a happy number.

31143211234113 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31143211234113 - 212 = 31143211230017 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (31143211234313) 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 15 ways as a sum of consecutive naturals, for example, 938088445 + ... + 938121642.

It is an arithmetic number, because the mean of its divisors is an integer number (2836829653056).

Almost surely, 231143211234113 is an apocalyptic number.

31143211234113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31143211234113 is a deficient number, since it is larger than the sum of its proper divisors (14246063214783).

31143211234113 is a wasteful number, since it uses less digits than its factorization.

31143211234113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876210604.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 3114321 and 1234113, that added together give a palindrome (4348434).

The spelling of 31143211234113 in words is "thirty-one trillion, one hundred forty-three billion, two hundred eleven million, two hundred thirty-four thousand, one hundred thirteen".

Divisors: 1 3 11 33 503 1509 5533 16599 1876210087 5628630261 20638310957 61914932871 943733673761 2831201021283 10381070411371 31143211234113