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1132121311131 = 31729727194951
BaseRepresentation
bin10000011110010111101…
…100000100011110011011
311000020012110222102220210
4100132113230010132123
5122022041023424011
62224031144422203
7144536010236646
oct20362754043633
94006173872823
101132121311131
113a7147a69518
121634b5177963
13829b27b0355
143cb1b548a5d
151e6b09516a6
hex10797b0479b

1132121311131 has 48 divisors (see below), whose sum is σ = 1620966287360. Its totient is φ = 702626918400.

The previous prime is 1132121311117. The next prime is 1132121311159. The reversal of 1132121311131 is 1311131212311.

It is not a de Polignac number, because 1132121311131 - 25 = 1132121311099 is a prime.

It is a super-2 number, since 2×11321213111312 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1132121311098 and 1132121311107.

It is not an unprimeable number, because it can be changed into a prime (1132121311631) 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, 228662706 + ... + 228667656.

Almost surely, 21132121311131 is an apocalyptic number.

1132121311131 is a deficient number, since it is larger than the sum of its proper divisors (488844976229).

1132121311131 is a wasteful number, since it uses less digits than its factorization.

1132121311131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7804 (or 7787 counting only the distinct ones).

The product of its digits is 108, while the sum is 21.

Adding to 1132121311131 its reverse (1311131212311), we get a palindrome (2443252523442).

The spelling of 1132121311131 in words is "one trillion, one hundred thirty-two billion, one hundred twenty-one million, three hundred eleven thousand, one hundred thirty-one".

Divisors: 1 3 17 51 97 289 291 867 1649 2719 4947 4951 8157 14853 28033 46223 84099 84167 138669 252501 263743 480247 785791 791229 1430839 1440741 2357373 4292517 4483631 8164199 13450893 13461769 24492597 40385307 76221727 138791383 228665181 228850073 416374149 686550219 1305791593 3890451241 3917374779 11671353723 22198457081 66595371243 377373770377 1132121311131