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1131335032120 = 23583719337837
BaseRepresentation
bin10000011101101000110…
…100101001110100111000
311000011011200110022212221
4100131220310221310320
5122013433232011440
62223421140013424
7144510352051216
oct20355064516470
94004150408787
101131335032120
113a688414a457
12163315991274
13828b89228b7
143ca84d51cb6
151e6668d9d4a
hex10768d29d38

1131335032120 has 32 divisors (see below), whose sum is σ = 2545541762400. Its totient is φ = 452527267968.

The previous prime is 1131335032081. The next prime is 1131335032123. The reversal of 1131335032120 is 212305331311.

It is a super-3 number, since 3×11313350321203 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131335032123) 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 7 ways as a sum of consecutive naturals, for example, 3179842 + ... + 3517678.

It is an arithmetic number, because the mean of its divisors is an integer number (79548180075).

Almost surely, 21131335032120 is an apocalyptic number.

1131335032120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131335032120 is an abundant number, since it is smaller than the sum of its proper divisors (1414206730280).

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

1131335032120 is a wasteful number, since it uses less digits than its factorization.

1131335032120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421567 (or 421563 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 25.

The spelling of 1131335032120 in words is "one trillion, one hundred thirty-one billion, three hundred thirty-five million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83719 167438 334876 337837 418595 669752 675674 837190 1351348 1674380 1689185 2702696 3348760 3378370 6756740 13513480 28283375803 56566751606 113133503212 141416879015 226267006424 282833758030 565667516060 1131335032120