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1011330321120 = 25345711147821
BaseRepresentation
bin11101011011101111111…
…11000000101011100000
310120200102100102101010000
432231313333000223200
5113032201030233440
62052333154340000
7133031464615140
oct16556777005340
93520370371100
101011330321120
1135a9a2667949
1214400458a600
13744a2779172
1436d3d140920
151b491303730
hexeb77fc0ae0

1011330321120 has 240 divisors, whose sum is σ = 4079032661088. Its totient is φ = 231161195520.

The previous prime is 1011330321107. The next prime is 1011330321161. The reversal of 1011330321120 is 211230331101.

1011330321120 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 330 + 321 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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 = 1011330321093 and 1011330321102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5483191 + ... + 5664630.

Almost surely, 21011330321120 is an apocalyptic number.

1011330321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011330321120 is an abundant number, since it is smaller than the sum of its proper divisors (3067702339968).

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

1011330321120 is a wasteful number, since it uses less digits than its factorization.

1011330321120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11147855 (or 11147838 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 1011330321120 its reverse (211230331101), we get a palindrome (1222560652221).

The spelling of 1011330321120 in words is "one trillion, eleven billion, three hundred thirty million, three hundred twenty-one thousand, one hundred twenty".