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230134323120 = 243513475329611
BaseRepresentation
bin1101011001010100010…
…0110001011110110000
3211000000110022220112220
43112111010301132300
512232303341314440
6253420001121040
722424641320312
oct3262504613660
9730013286486
10230134323120
118966590a179
1238727629180
13189174846c0
14b1d22d37b2
155ebdc828d0
hex35951317b0

230134323120 has 320 divisors, whose sum is σ = 799472830464. Its totient is φ = 54395228160.

The previous prime is 230134323109. The next prime is 230134323149. The reversal of 230134323120 is 21323431032.

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

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, 7757115 + ... + 7786725.

Almost surely, 2230134323120 is an apocalyptic number.

230134323120 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 230134323120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399736415232).

230134323120 is an abundant number, since it is smaller than the sum of its proper divisors (569338507344).

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

230134323120 is a wasteful number, since it uses less digits than its factorization.

230134323120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29740 (or 29734 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 230134323120 its reverse (21323431032), we get a palindrome (251457754152).

The spelling of 230134323120 in words is "two hundred thirty billion, one hundred thirty-four million, three hundred twenty-three thousand, one hundred twenty".