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2131332011928 = 233472416126839
BaseRepresentation
bin11111000000111101010…
…010011001011110011000
321112202100012012022110000
4133000331102121132120
5234404431443340203
64311042001453000
7306661252121100
oct37007522313630
97482305168400
102131332011928
117519903a2219
122a5096941160
13125ca33a1832
147522ac10200
153a692c564a3
hex1f03d499798

2131332011928 has 480 divisors, whose sum is σ = 7230610648800. Its totient is φ = 584338406400.

The previous prime is 2131332011873. The next prime is 2131332011929. The reversal of 2131332011928 is 8291102331312.

It is a happy number.

2131332011928 is a `hidden beast` number, since 2 + 1 + 313 + 320 + 1 + 19 + 2 + 8 = 666.

It is a super-2 number, since 2×21313320119282 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2131332011892 and 2131332011901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131332011929) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 79398333 + ... + 79425171.

It is an arithmetic number, because the mean of its divisors is an integer number (15063772185).

Almost surely, 22131332011928 is an apocalyptic number.

2131332011928 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131332011928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615305324400).

2131332011928 is an abundant number, since it is smaller than the sum of its proper divisors (5099278636872).

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

2131332011928 is a wasteful number, since it uses less digits than its factorization.

2131332011928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26973 (or 26953 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 2131332011928 in words is "two trillion, one hundred thirty-one billion, three hundred thirty-two million, eleven thousand, nine hundred twenty-eight".