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13362033026331 = 3211212270002779
BaseRepresentation
bin1100001001110001011100…
…1110110110010100011011
31202022101202001111210121100
43002130113032312110123
53222410420423320311
644230233324442443
72546242430505153
oct302342716662433
952271661453540
1013362033026331
114291896328900
1215b97999a9423
1375c05a4b2b62
14342a23a31763
1518289ccd1a56
hexc27173b651b

13362033026331 has 18 divisors (see below), whose sum is σ = 21214834806620. Its totient is φ = 8098201833480.

The previous prime is 13362033026267. The next prime is 13362033026339.

13362033026331 is a `hidden beast` number, since 1 + 3 + 3 + 62 + 0 + 330 + 263 + 3 + 1 = 666.

13362033026331 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 13362033026331 - 26 = 13362033026267 is a prime.

It is a super-2 number, since 2×133620330263312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13362033026339) 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 17 ways as a sum of consecutive naturals, for example, 6135000301 + ... + 6135002478.

Almost surely, 213362033026331 is an apocalyptic number.

13362033026331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

13362033026331 is a deficient number, since it is larger than the sum of its proper divisors (7852801780289).

13362033026331 is a wasteful number, since it uses less digits than its factorization.

13362033026331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12270002807 (or 12270002793 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 36.

The spelling of 13362033026331 in words is "thirteen trillion, three hundred sixty-two billion, thirty-three million, twenty-six thousand, three hundred thirty-one".

Divisors: 1 3 9 11 33 99 121 363 1089 12270002779 36810008337 110430025011 134970030569 404910091707 1214730275121 1484670336259 4454011008777 13362033026331