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103120332000 = 2535373733179
BaseRepresentation
bin110000000001001110…
…0110110010011100000
3100212011122002122001120
41200002130312103200
53142142301111000
6115212310332240
710310263234230
oct1400234662340
9325148078046
10103120332000
113a807814784
1217b9a95a080
13995510603a
144dc362bcc0
152a3814c6a0
hex18027364e0

103120332000 has 384 divisors, whose sum is σ = 396529136640. Its totient is φ = 22932633600.

The previous prime is 103120331981. The next prime is 103120332019. The reversal of 103120332000 is 233021301.

103120332000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (103120331981) and next prime (103120332019).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3091411 + ... + 3124589.

It is an arithmetic number, because the mean of its divisors is an integer number (1032627960).

Almost surely, 2103120332000 is an apocalyptic number.

103120332000 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 103120332000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198264568320).

103120332000 is an abundant number, since it is smaller than the sum of its proper divisors (293408804640).

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

103120332000 is a wasteful number, since it uses less digits than its factorization.

103120332000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33251 (or 33233 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 103120332000 its reverse (233021301), we get a palindrome (103353353301).

The spelling of 103120332000 in words is "one hundred three billion, one hundred twenty million, three hundred thirty-two thousand".