Search a number
-
+
123133739520 = 2935119071607
BaseRepresentation
bin111001010101101010…
…1111100001000000000
3102202211101212001222010
41302223111330020000
54004134214131040
6132322235212520
711616240342141
oct1625325741000
9382741761863
10123133739520
1148247870aa0
121ba452a7140
13b7c44c64cc
145d61603ac8
15330a165e80
hex1cab57c200

123133739520 has 320 divisors, whose sum is σ = 430169895936. Its totient is φ = 29799137280.

The previous prime is 123133739483. The next prime is 123133739537. The reversal of 123133739520 is 25937331321.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76622557 + ... + 76624163.

Almost surely, 2123133739520 is an apocalyptic number.

123133739520 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 123133739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215084947968).

123133739520 is an abundant number, since it is smaller than the sum of its proper divisors (307036156416).

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

123133739520 is a wasteful number, since it uses less digits than its factorization.

123133739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2551 (or 2535 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 39.

The spelling of 123133739520 in words is "one hundred twenty-three billion, one hundred thirty-three million, seven hundred thirty-nine thousand, five hundred twenty".