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103195607040000 = 2233954
BaseRepresentation
bin10111011101101100011001…
…100000000000000000000000
3111112101101220021202000000000
4113131230121200000000000
5102011224100400240000
61003251224000000000
730510431225615646
oct2735543140000000
9445341807660000
10103195607040000
112a9770139631a2
12b6a8000000000
1345773c4b284a7
141b6a9a05c5196
15bde54b990000
hex5ddb19800000

103195607040000 has 1200 divisors, whose sum is σ = 386853117110460. Its totient is φ = 27518828544000.

The previous prime is 103195607039963. The next prime is 103195607040037. The reversal of 103195607040000 is 40706591301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)4 ⋅ 4! ⋅ (2!)4.

103195607040000 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 9 + 5 + 607 + 0 + 40 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (103195607039963) and next prime (103195607040037).

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 20639121407998 + ... + 20639121408002.

Almost surely, 2103195607040000 is an apocalyptic number.

103195607040000 is a gapful number since it is divisible by the number (10) 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 103195607040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193426558555230).

103195607040000 is an abundant number, since it is smaller than the sum of its proper divisors (283657510070460).

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

103195607040000 is an frugal number, since it uses more digits than its factorization.

103195607040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 103195607040000 in words is "one hundred three trillion, one hundred ninety-five billion, six hundred seven million, forty thousand".