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103109640000 = 263541097883
BaseRepresentation
bin110000000000111010…
…0000011111101000000
3100212010212222102101120
41200001310003331000
53142132031440000
6115211245232240
710310103323223
oct1400164037500
9325125872346
10103109640000
113a801781714
1217b97262680
139952b31503
144dc20475ba
152a372396a0
hex1801d03f40

103109640000 has 280 divisors, whose sum is σ = 344075735520. Its totient is φ = 27240192000.

The previous prime is 103109639981. The next prime is 103109640001. The reversal of 103109640000 is 46901301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103109640001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13076059 + ... + 13083941.

Almost surely, 2103109640000 is an apocalyptic number.

103109640000 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 103109640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172037867760).

103109640000 is an abundant number, since it is smaller than the sum of its proper divisors (240966095520).

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

103109640000 is an equidigital number, since it uses as much as digits as its factorization.

103109640000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8027 (or 8002 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 103109640000 in words is "one hundred three billion, one hundred nine million, six hundred forty thousand".