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1131014220100 = 225212978720233
BaseRepresentation
bin10000011101010101101…
…100110110100101000100
311000010100022210101112021
4100131111230312211010
5122012304120020400
62223325235532524
7144466405151212
oct20352554664504
94003308711467
101131014220100
113a672a050656
1216324645a144
1382867318bbb
143ca544c1cb2
151e64866971a
hex10755b36944

1131014220100 has 36 divisors (see below), whose sum is σ = 2456193429844. Its totient is φ = 452056826880.

The previous prime is 1131014220073. The next prime is 1131014220101. The reversal of 1131014220100 is 10224101311.

It can be written as a sum of positive squares in 6 ways, for example, as 349727938884 + 781286281216 = 591378^2 + 883904^2 .

It is a super-2 number, since 2×11310142201002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1131014220101) 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 11 ways as a sum of consecutive naturals, for example, 4230417 + ... + 4489816.

Almost surely, 21131014220100 is an apocalyptic number.

1131014220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131014220100 is an abundant number, since it is smaller than the sum of its proper divisors (1325179209744).

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

1131014220100 is a wasteful number, since it uses less digits than its factorization.

1131014220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8721544 (or 8721537 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 1131014220100 its reverse (10224101311), we get a palindrome (1141238321411).

The spelling of 1131014220100 in words is "one trillion, one hundred thirty-one billion, fourteen million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1297 2594 5188 6485 12970 25940 32425 64850 129700 8720233 17440466 34880932 43601165 87202330 174404660 218005825 436011650 872023300 11310142201 22620284402 45240568804 56550711005 113101422010 226202844020 282753555025 565507110050 1131014220100