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11032129988 = 22112533731153
BaseRepresentation
bin10100100011001000…
…01111000111000100
31001110211220021021222
422101210033013010
5140043211124423
65022412455512
7540246362165
oct122144170704
931424807258
1011032129988
114751393600
12217a77a598
13106a796c89
1476927576c
154487d93c8
hex29190f1c4

11032129988 has 72 divisors (see below), whose sum is σ = 21698057304. Its totient is φ = 4902543360.

The previous prime is 11032129987. The next prime is 11032130027. The reversal of 11032129988 is 88992123011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 4402587904 + 6629542084 = 66352^2 + 81422^2 .

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (11032129987) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9567620 + ... + 9568772.

It is an arithmetic number, because the mean of its divisors is an integer number (301361907).

Almost surely, 211032129988 is an apocalyptic number.

It is an amenable number.

11032129988 is a deficient number, since it is larger than the sum of its proper divisors (10665927316).

11032129988 is a wasteful number, since it uses less digits than its factorization.

11032129988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1605 (or 1592 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 44.

The spelling of 11032129988 in words is "eleven billion, thirty-two million, one hundred twenty-nine thousand, nine hundred eighty-eight".

Divisors: 1 2 4 11 22 44 53 106 121 212 242 373 484 583 746 1153 1166 1492 2306 2332 4103 4612 6413 8206 12683 12826 16412 19769 25366 25652 39538 45133 50732 61109 79076 90266 122218 139513 180532 217459 244436 279026 430069 434918 558052 672199 860138 869836 1344398 1720276 2392049 2688796 4730759 4784098 7394189 9461518 9568196 14788378 18923036 22793657 29576756 45587314 52038349 91174628 104076698 208153396 250730227 501460454 1002920908 2758032497 5516064994 11032129988