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11392121169 = 32111323491951
BaseRepresentation
bin10101001110000010…
…11111100101010001
31002101221021201100200
422213001133211101
5141312340334134
65122232405413
7552210301152
oct124701374521
932357251320
1011392121169
114916612280
12225b246869
1310c723aa00
147a0dc3929
1546a1e8499
hex2a705f951

11392121169 has 72 divisors (see below), whose sum is σ = 19503993600. Its totient is φ = 6351696000.

The previous prime is 11392121159. The next prime is 11392121203. The reversal of 11392121169 is 96112129311.

11392121169 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11392121169 - 29 = 11392120657 is a prime.

It is a super-2 number, since 2×113921211692 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11392121119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5838144 + ... + 5840094.

It is an arithmetic number, because the mean of its divisors is an integer number (270888800).

Almost surely, 211392121169 is an apocalyptic number.

It is an amenable number.

11392121169 is a deficient number, since it is larger than the sum of its proper divisors (8111872431).

11392121169 is a wasteful number, since it uses less digits than its factorization.

11392121169 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2343 (or 2327 counting only the distinct ones).

The product of its digits is 5832, while the sum is 36.

The spelling of 11392121169 in words is "eleven billion, three hundred ninety-two million, one hundred twenty-one thousand, one hundred sixty-nine".

Divisors: 1 3 9 11 13 33 39 99 117 143 169 349 429 507 1047 1287 1521 1859 1951 3141 3839 4537 5577 5853 11517 13611 16731 17559 21461 25363 34551 40833 49907 58981 64383 76089 149721 176943 193149 228267 278993 329719 449163 530829 648791 680899 836979 989157 1946373 2042697 2510937 2967471 3626909 5839119 6128091 7489889 8851687 10880727 22469667 26555061 32642181 67409001 79665183 97368557 115071931 292105671 345215793 876317013 1035647379 1265791241 3797373723 11392121169