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1131123211020 = 22335111910022357
BaseRepresentation
bin10000011101011100001…
…100100111101100001100
311000010121220212200222000
4100131130030213230030
5122013020020223040
62223344131552300
7144502200441045
oct20353414475414
94003556780860
101131123211020
113a67856230a0
12163276a5b690
1382883a89b7a
143ca64b738cc
151e652ee8130
hex1075c327b0c

1131123211020 has 192 divisors, whose sum is σ = 4041014745600. Its totient is φ = 259779467520.

The previous prime is 1131123211019. The next prime is 1131123211033. The reversal of 1131123211020 is 201123211311.

1131123211020 is a `hidden beast` number, since 1 + 1 + 311 + 2 + 321 + 10 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1131123210984 and 1131123211002.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4898319 + ... + 5124038.

It is an arithmetic number, because the mean of its divisors is an integer number (21046951800).

Almost surely, 21131123211020 is an apocalyptic number.

1131123211020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1131123211020 is an abundant number, since it is smaller than the sum of its proper divisors (2909891534580).

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

1131123211020 is a wasteful number, since it uses less digits than its factorization.

1131123211020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10022405 (or 10022397 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1131123211020 its reverse (201123211311), we get a palindrome (1332246422331).

The spelling of 1131123211020 in words is "one trillion, one hundred thirty-one billion, one hundred twenty-three million, two hundred eleven thousand, twenty".