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1100011121112 = 2331720183133583
BaseRepresentation
bin10000000000011101110…
…001011010100111011000
310220011022122222210000210
4100000131301122213120
5121010310321333422
62201201011531120
7142321205153421
oct20003561324730
93804278883023
101100011121112
1139456a6674a2
121592335b9aa0
137c9661a0207
143b352b60648
151d93194b10c
hex1001dc5a9d8

1100011121112 has 64 divisors (see below), whose sum is σ = 2911960212480. Its totient is φ = 345081846272.

The previous prime is 1100011121057. The next prime is 1100011121113. The reversal of 1100011121112 is 2111211100011.

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 (1100011121113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8167873 + ... + 8301455.

It is an arithmetic number, because the mean of its divisors is an integer number (45499378320).

Almost surely, 21100011121112 is an apocalyptic number.

1100011121112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100011121112 is an abundant number, since it is smaller than the sum of its proper divisors (1811949091368).

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

1100011121112 is a wasteful number, since it uses less digits than its factorization.

1100011121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153792 (or 153788 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1100011121112 its reverse (2111211100011), we get a palindrome (3211222221123).

The spelling of 1100011121112 in words is "one trillion, one hundred billion, eleven million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 20183 40366 60549 80732 121098 133583 161464 242196 267166 343111 400749 484392 534332 686222 801498 1029333 1068664 1372444 1602996 2058666 2270911 2744888 3205992 4117332 4541822 6812733 8234664 9083644 13625466 18167288 27250932 54501864 2696105689 5392211378 8088317067 10784422756 16176634134 21568845512 32353268268 45833796713 64706536536 91667593426 137501390139 183335186852 275002780278 366670373704 550005560556 1100011121112