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11131104402 = 2351119910463
BaseRepresentation
bin10100101110111011…
…10010110010010010
31001201202010200200000
422113131302302102
5140244030320102
65040310110430
7542560553265
oct122735626222
931652120600
1011131104402
1147a2244540
1221a794b416
13108513ba12
1477847acdc
1545233a01c
hex297772c92

11131104402 has 96 divisors (see below), whose sum is σ = 27424051200. Its totient is φ = 3355791120.

The previous prime is 11131104379. The next prime is 11131104407. The reversal of 11131104402 is 20440113111.

11131104402 is a `hidden beast` number, since 1 + 113 + 110 + 440 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11131104407) 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, 1058623 + ... + 1069085.

It is an arithmetic number, because the mean of its divisors is an integer number (285667200).

Almost surely, 211131104402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11131104402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712025600).

11131104402 is an abundant number, since it is smaller than the sum of its proper divisors (16292946798).

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

11131104402 is a wasteful number, since it uses less digits than its factorization.

11131104402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10690 (or 10678 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11131104402 its reverse (20440113111), we get a palindrome (31571217513).

The spelling of 11131104402 in words is "eleven billion, one hundred thirty-one million, one hundred four thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 199 243 297 398 486 594 597 891 1194 1782 1791 2189 2673 3582 4378 5346 5373 6567 10463 10746 13134 16119 19701 20926 31389 32238 39402 48357 59103 62778 94167 96714 115093 118206 177309 188334 230186 282501 345279 354618 531927 565002 690558 847503 1035837 1063854 1695006 2071674 2082137 2542509 3107511 4164274 5085018 6215022 6246411 9322533 12492822 18645066 18739233 22903507 27967599 37478466 45807014 55935198 56217699 68710521 112435398 137421042 168653097 206131563 337306194 412263126 505959291 618394689 1011918582 1236789378 1855184067 3710368134 5565552201 11131104402