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2131035366000 = 24353432476167
BaseRepresentation
bin11111000000101011100…
…110110010001001110000
321112201120112000010201210
4133000223212302021300
5234403330023203000
64310552323400120
7306651020511132
oct37005346621160
97481515003653
102131035366000
117518489a97a2
122a5013523040
13125c56aa95b8
14751dd671052
153a676bab350
hex1f02b9b2270

2131035366000 has 960 divisors, whose sum is σ = 7410350278656. Its totient is φ = 526369536000.

The previous prime is 2131035365999. The next prime is 2131035366007. The reversal of 2131035366000 is 6635301312.

It is a happy number.

It is a super-2 number, since 2×21310353660002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131035366007) 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 191 ways as a sum of consecutive naturals, for example, 31806497967 + ... + 31806498033.

Almost surely, 22131035366000 is an apocalyptic number.

2131035366000 is a gapful number since it is divisible by the number (20) 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 2131035366000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3705175139328).

2131035366000 is an abundant number, since it is smaller than the sum of its proper divisors (5279314912656).

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

2131035366000 is a wasteful number, since it uses less digits than its factorization.

2131035366000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 30.

The spelling of 2131035366000 in words is "two trillion, one hundred thirty-one billion, thirty-five million, three hundred sixty-six thousand".