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13301103032334 = 2331395319881889
BaseRepresentation
bin1100000110001110011110…
…0001010111100000001110
31202002120110201222101221000
43001203213201113200032
53220411124334013314
644142235315321130
72541654506216535
oct301434741274016
952076421871830
1013301103032334
114268a699a2567
1215a9a145b01a6
1375639a189c80
1433dac385531c
15180ed3aca209
hexc18e785780e

13301103032334 has 64 divisors (see below), whose sum is σ = 31865102740800. Its totient is φ = 4088352393216.

The previous prime is 13301103032333. The next prime is 13301103032351. The reversal of 13301103032334 is 43323030110331.

13301103032334 is a `hidden beast` number, since 1 + 3 + 301 + 1 + 0 + 3 + 0 + 323 + 34 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13301103032298 and 13301103032307.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13301103032333) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9271939 + ... + 10609950.

It is an arithmetic number, because the mean of its divisors is an integer number (497892230325).

Almost surely, 213301103032334 is an apocalyptic number.

13301103032334 is an abundant number, since it is smaller than the sum of its proper divisors (18563999708466).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13301103032334 is a wasteful number, since it uses less digits than its factorization.

13301103032334 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19882866 (or 19882860 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 13301103032334 its reverse (43323030110331), we get a palindrome (56624133142665).

The spelling of 13301103032334 in words is "thirteen trillion, three hundred one billion, one hundred three million, thirty-two thousand, three hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 953 1906 2859 5718 8577 12389 17154 24778 25731 37167 51462 74334 111501 223002 334503 669006 19881889 39763778 59645667 119291334 178937001 258464557 357874002 516929114 536811003 775393671 1073622006 1550787342 2326181013 4652362026 6978543039 13957086078 18947440217 37894880434 56842320651 113684641302 170526961953 246316722821 341053923906 492633445642 511580885859 738950168463 1023161771718 1477900336926 2216850505389 4433701010778 6650551516167 13301103032334