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13022031033441 = 336118734221311
BaseRepresentation
bin1011110101111110110110…
…0010001011010001100001
31201002220010201202222122000
42331133231202023101201
53201323104421032231
643410123302034213
72512545032321523
oct275375542132141
951086121688560
1013022031033441
114170681042251
12156390ba18969
13735c84084891
143303abd63a13
15178aed8956e6
hexbd7ed88b461

13022031033441 has 32 divisors (see below), whose sum is σ = 19618631946240. Its totient is φ = 8534475705600.

The previous prime is 13022031033437. The next prime is 13022031033469. The reversal of 13022031033441 is 14433013022031.

It is a happy number.

13022031033441 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 2 + 0 + 310 + 3 + 344 + 1 = 666.

It is not a de Polignac number, because 13022031033441 - 22 = 13022031033437 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (13022031035441) 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, 974176 + ... + 5195486.

It is an arithmetic number, because the mean of its divisors is an integer number (613082248320).

Almost surely, 213022031033441 is an apocalyptic number.

It is an amenable number.

13022031033441 is a deficient number, since it is larger than the sum of its proper divisors (6596600912799).

13022031033441 is a wasteful number, since it uses less digits than its factorization.

13022031033441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4223254 (or 4223248 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13022031033441 its reverse (14433013022031), we get a palindrome (27455044055472).

The spelling of 13022031033441 in words is "thirteen trillion, twenty-two billion, thirty-one million, thirty-three thousand, four hundred forty-one".

Divisors: 1 3 9 27 61 183 549 1647 1873 5619 16857 50571 114253 342759 1028277 3084831 4221311 12663933 37991799 113975397 257499971 772499913 2317499739 6952499217 7906515503 23719546509 71158639527 213475918581 482297445683 1446892337049 4340677011147 13022031033441