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1131131212100 = 225211819577741
BaseRepresentation
bin10000011101011100101…
…011001001000101000100
311000010122110221012101022
4100131130223021011010
5122013024042241400
62223345015250312
7144502325443601
oct20353453110504
94003573835338
101131131212100
113a678a09845a
12163279679998
138288562b936
143ca65c576a8
151e653a78b85
hex1075cac9144

1131131212100 has 36 divisors (see below), whose sum is σ = 2456633356548. Its totient is φ = 452069328000.

The previous prime is 1131131212093. The next prime is 1131131212181. The reversal of 1131131212100 is 12121311311.

It can be written as a sum of positive squares in 6 ways, for example, as 186319995904 + 944811216196 = 431648^2 + 972014^2 .

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4670771 + ... + 4906970.

Almost surely, 21131131212100 is an apocalyptic number.

1131131212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131131212100 is an abundant number, since it is smaller than the sum of its proper divisors (1325502144448).

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

1131131212100 is a wasteful number, since it uses less digits than its factorization.

1131131212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9578936 (or 9578929 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 17.

Adding to 1131131212100 its reverse (12121311311), we get a palindrome (1143252523411).

The spelling of 1131131212100 in words is "one trillion, one hundred thirty-one billion, one hundred thirty-one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1181 2362 4724 5905 11810 23620 29525 59050 118100 9577741 19155482 38310964 47888705 95777410 191554820 239443525 478887050 957774100 11311312121 22622624242 45245248484 56556560605 113113121210 226226242420 282782803025 565565606050 1131131212100