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230620611312 = 2432721310723497
BaseRepresentation
bin1101011011001000001…
…1110100001011110000
3211001021100100220112200
43112302003310023300
512234302334030222
6253540132023200
722442664565200
oct3266203641360
9731240326480
10230620611312
1189895360743
1238842461b00
13189941485b0
14b23ab1a400
155eeb7dceac
hex35b20f42f0

230620611312 has 360 divisors, whose sum is σ = 816136107696. Its totient is φ = 60252014592.

The previous prime is 230620611251. The next prime is 230620611341. The reversal of 230620611312 is 213116026032.

230620611312 is a `hidden beast` number, since 2 + 3 + 0 + 620 + 6 + 1 + 1 + 31 + 2 = 666.

It is a super-3 number, since 3×2306206113123 (a number of 35 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9803148 + ... + 9826644.

Almost surely, 2230620611312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230620611312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408068053848).

230620611312 is an abundant number, since it is smaller than the sum of its proper divisors (585515496384).

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

230620611312 is a wasteful number, since it uses less digits than its factorization.

230620611312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23645 (or 23629 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 230620611312 its reverse (213116026032), we get a palindrome (443736637344).

The spelling of 230620611312 in words is "two hundred thirty billion, six hundred twenty million, six hundred eleven thousand, three hundred twelve".