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11132531040 = 253583279431
BaseRepresentation
bin10100101111000110…
…01111000101100000
31001201211211011122110
422113203033011200
5140244411443130
65040400435320
7542605644501
oct122743170540
931654734573
1011132531040
1147a3029384
1221a8318b40
13108551b197
1477872cba8
1545251cab0
hex2978cf160

11132531040 has 96 divisors (see below), whose sum is σ = 35490099456. Its totient is φ = 2932897280.

The previous prime is 11132531023. The next prime is 11132531041. The reversal of 11132531040 is 4013523111.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 11132530998 and 11132531016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11132531041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99876 + ... + 179555.

It is an arithmetic number, because the mean of its divisors is an integer number (369688536).

Almost surely, 211132531040 is an apocalyptic number.

11132531040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11132531040 is an abundant number, since it is smaller than the sum of its proper divisors (24357568416).

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

11132531040 is a wasteful number, since it uses less digits than its factorization.

11132531040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279532 (or 279524 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 11132531040 in words is "eleven billion, one hundred thirty-two million, five hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 83 96 120 160 166 240 249 332 415 480 498 664 830 996 1245 1328 1660 1992 2490 2656 3320 3984 4980 6640 7968 9960 13280 19920 39840 279431 558862 838293 1117724 1397155 1676586 2235448 2794310 3353172 4191465 4470896 5588620 6706344 8382930 8941792 11177240 13412688 16765860 22354480 23192773 26825376 33531720 44708960 46385546 67063440 69578319 92771092 115963865 134126880 139156638 185542184 231927730 278313276 347891595 371084368 463855460 556626552 695783190 742168736 927710920 1113253104 1391566380 1855421840 2226506208 2783132760 3710843680 5566265520 11132531040