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1100233311112 = 2313175091222601
BaseRepresentation
bin10000000000101011000…
…001000000001110001000
310220011220011002012102001
4100000223001000032020
5121011234211423422
62201235030120344
7142326543560605
oct20005301001610
93804804065361
101100233311112
113946740260a1
12159295ab00b4
137c9a02266a0
143b37447b6ac
151d9461da227
hex1002b040388

1100233311112 has 64 divisors (see below), whose sum is σ = 2356932135600. Its totient is φ = 476990054400.

The previous prime is 1100233311103. The next prime is 1100233311113. The reversal of 1100233311112 is 2111133320011.

It can be written as a sum of positive squares in 8 ways, for example, as 394441778116 + 705791532996 = 628046^2 + 840114^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1100233311112.

It is not an unprimeable number, because it can be changed into a prime (1100233311113) 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, 288612 + ... + 1511212.

Almost surely, 21100233311112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100233311112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1178466067800).

1100233311112 is an abundant number, since it is smaller than the sum of its proper divisors (1256698824488).

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

1100233311112 is a wasteful number, since it uses less digits than its factorization.

1100233311112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1223146 (or 1223142 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 1100233311112 its reverse (2111133320011), we get a palindrome (3211366631123).

The spelling of 1100233311112 in words is "one trillion, one hundred billion, two hundred thirty-three million, three hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 221 442 509 884 1018 1768 2036 4072 6617 8653 13234 17306 26468 34612 52936 69224 112489 224978 449956 899912 1222601 2445202 4890404 9780808 15893813 20784217 31787626 41568434 63575252 83136868 127150504 166273736 270194821 540389642 622303909 1080779284 1244607818 2161558568 2489215636 4978431272 8089950817 10579166453 16179901634 21158332906 32359803268 42316665812 64719606536 84633331624 137529163889 275058327778 550116655556 1100233311112