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31012011021013 = 11731372267124349
BaseRepresentation
bin1110000110100100010111…
…11001101001001011010101
311001210201102100222021022021
413003102023321221023111
513031100044310133023
6145542415435333141
76350354354213221
oct703221371511325
9131721370867267
1031012011021013
1199771358158a0
12358a4038b11b1
13143c55cc2aac9
14792dbca7d781
1538ba60c3b35d
hex1c348be692d5

31012011021013 has 32 divisors (see below), whose sum is σ = 34560569635200. Its totient is φ = 27591169858560.

The previous prime is 31012011020993. The next prime is 31012011021031.

It is a happy number.

31012011021013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31012011021013 - 229 = 31011474150101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012011021113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 249332763 + ... + 249457111.

It is an arithmetic number, because the mean of its divisors is an integer number (1080017801100).

Almost surely, 231012011021013 is an apocalyptic number.

It is an amenable number.

31012011021013 is a deficient number, since it is larger than the sum of its proper divisors (3548558614187).

31012011021013 is a wasteful number, since it uses less digits than its factorization.

31012011021013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126837.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 3101201 and 1021013, that added together give a palindrome (4122214).

The spelling of 31012011021013 in words is "thirty-one trillion, twelve billion, eleven million, twenty-one thousand, thirteen".

Divisors: 1 11 73 137 803 1507 2267 10001 24937 110011 124349 165491 310579 1367839 1820401 3416369 9077477 17035813 22672267 99852247 187393943 249394937 281899183 1243614349 3100891013 13679757839 20578640359 38620188071 226365043949 424822068781 2819273729183 31012011021013