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11131100112 = 24311101208729
BaseRepresentation
bin10100101110111011…
…10001101111010000
31001201202010110210010
422113131301233100
5140244030200422
65040310034520
7542560534626
oct122735615720
931652113703
1011131100112
1147a22412a0
1221a7948a40
131085139a92
14778479516
15452338b0c
hex297771bd0

11131100112 has 80 divisors (see below), whose sum is σ = 31680204480. Its totient is φ = 3339648000.

The previous prime is 11131100093. The next prime is 11131100117. The reversal of 11131100112 is 21100113111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131100117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51037 + ... + 157692.

It is an arithmetic number, because the mean of its divisors is an integer number (396002556).

Almost surely, 211131100112 is an apocalyptic number.

11131100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11131100112 is an abundant number, since it is smaller than the sum of its proper divisors (20549104368).

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

11131100112 is a wasteful number, since it uses less digits than its factorization.

11131100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208852 (or 208846 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 11131100112 its reverse (21100113111), we get a palindrome (32231213223).

The spelling of 11131100112 in words is "eleven billion, one hundred thirty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 101 132 176 202 264 303 404 528 606 808 1111 1212 1616 2222 2424 3333 4444 4848 6666 8888 13332 17776 26664 53328 208729 417458 626187 834916 1252374 1669832 2296019 2504748 3339664 4592038 5009496 6888057 9184076 10018992 13776114 18368152 21081629 27552228 36736304 42163258 55104456 63244887 84326516 110208912 126489774 168653032 231897919 252979548 337306064 463795838 505959096 695693757 927591676 1011918192 1391387514 1855183352 2782775028 3710366704 5565550056 11131100112