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31420655602413 = 3721183923160251
BaseRepresentation
bin1110010010011101100010…
…00001000000101011101101
311010020210012111211212122120
413021032301001000223231
513104244000313234123
6150454241103103153
76422032064642400
oct711166101005355
9133223174755576
1031420655602413
11a014474a53140
123635649ba1ab9
13146bc554b6a6c
147a8aa6d79d37
153974cb5072e3
hex1c93b1040aed

31420655602413 has 48 divisors (see below), whose sum is σ = 53227817556480. Its totient is φ = 16302963180000.

The previous prime is 31420655602381. The next prime is 31420655602421.

31420655602413 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 31420655602413 - 25 = 31420655602381 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420655602463) 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, 10223463 + ... + 12936788.

It is an arithmetic number, because the mean of its divisors is an integer number (1108912865760).

Almost surely, 231420655602413 is an apocalyptic number.

31420655602413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31420655602413 is a deficient number, since it is larger than the sum of its proper divisors (21807161954067).

31420655602413 is a wasteful number, since it uses less digits than its factorization.

31420655602413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23161118 (or 23161111 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

It can be divided in two parts, 3142065 and 5602413, that added together give a palindrome (8744478).

The spelling of 31420655602413 in words is "thirty-one trillion, four hundred twenty billion, six hundred fifty-five million, six hundred two thousand, four hundred thirteen".

Divisors: 1 3 7 11 21 33 49 77 147 231 539 839 1617 2517 5873 9229 17619 27687 41111 64603 123333 193809 452221 1356663 23160251 69480753 162121757 254762761 486365271 764288283 1134852299 1783339327 3404556897 5350017981 12483375289 19431450589 37450125867 58294351767 136020154123 213745956479 408060462369 641237869437 952141078861 1496221695353 2856423236583 4488665086059 10473551867471 31420655602413