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1114314032200 = 2352291011902209
BaseRepresentation
bin10000001101110010010…
…010101100010001001000
310221112020110102221111111
4100031302102230101020
5121224103343012300
62211524144540104
7143335511664565
oct20156222542110
93845213387444
101114314032200
1139a63a248276
1215bb65621634
1381105488c05
143bd0c56786c
151debc4659ba
hex103724ac448

1114314032200 has 96 divisors (see below), whose sum is σ = 2706654609000. Its totient is φ = 426094592000.

The previous prime is 1114314032197. The next prime is 1114314032201. The reversal of 1114314032200 is 22304134111.

It can be written as a sum of positive squares in 12 ways, for example, as 276148148004 + 838165884196 = 525498^2 + 915514^2 .

It is not an unprimeable number, because it can be changed into a prime (1114314032201) 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, 365305 + ... + 1536904.

Almost surely, 21114314032200 is an apocalyptic number.

1114314032200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1114314032200 is an abundant number, since it is smaller than the sum of its proper divisors (1592340576800).

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

1114314032200 is a wasteful number, since it uses less digits than its factorization.

1114314032200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1902355 (or 1902346 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1114314032200 its reverse (22304134111), we get a palindrome (1136618166311).

The spelling of 1114314032200 in words is "one trillion, one hundred fourteen billion, three hundred fourteen million, thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 101 116 145 200 202 232 290 404 505 580 725 808 1010 1160 1450 2020 2525 2900 2929 4040 5050 5800 5858 10100 11716 14645 20200 23432 29290 58580 73225 117160 146450 292900 585800 1902209 3804418 7608836 9511045 15217672 19022090 38044180 47555225 55164061 76088360 95110450 110328122 190220900 192123109 220656244 275820305 380441800 384246218 441312488 551640610 768492436 960615545 1103281220 1379101525 1536984872 1921231090 2206562440 2758203050 3842462180 4803077725 5516406100 5571570161 7684924360 9606155450 11032812200 11143140322 19212310900 22286280644 27857850805 38424621800 44572561288 55715701610 111431403220 139289254025 222862806440 278578508050 557157016100 1114314032200