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31021033012013 = 11247101139388541
BaseRepresentation
bin1110000110110101001011…
…01001110011101100101101
311001211120201010102220022002
413003122211221303230231
513031222033422341023
6145550511004102045
76351124054655042
oct703324551635455
9131746633386262
1031021033012013
11997aa45467200
123590101234925
13144036a10a815
147935d6d7b1c9
1538bddcd0db28
hex1c36a5a73b2d

31021033012013 has 48 divisors (see below), whose sum is σ = 35420856387840. Its totient is φ = 27130971120000.

The previous prime is 31021033012003. The next prime is 31021033012063.

31021033012013 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31021033012013 - 212 = 31021033007917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31021033012003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 79645523 + ... + 80034063.

It is an arithmetic number, because the mean of its divisors is an integer number (737934508080).

Almost surely, 231021033012013 is an apocalyptic number.

It is an amenable number.

31021033012013 is a deficient number, since it is larger than the sum of its proper divisors (4399823375827).

31021033012013 is a wasteful number, since it uses less digits than its factorization.

31021033012013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388850 (or 388839 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 3102103 and 3012013, that added together give a palindrome (6114116).

The spelling of 31021033012013 in words is "thirty-one trillion, twenty-one billion, thirty-three million, twelve thousand, thirteen".

Divisors: 1 11 47 101 121 139 517 1111 1529 4747 5687 6533 12221 14039 16819 52217 71863 154429 388541 574387 659833 790493 1698719 4273951 7258163 18261427 39242641 47013461 54007199 79839793 200875697 431669051 594079189 1844404127 2209632667 2538338353 4748359561 5454727099 6534871079 20288445397 27921721883 60001998089 223172899367 256372173653 307138940713 660021978979 2820093910183 31021033012013