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230651430141132 = 22327111358367109661
BaseRepresentation
bin110100011100011010111000…
…100011110111110011001100
31010020200001122202001201222200
4310130122320203313303030
5220212443112104004012
62134315445413241500
766404005312604340
oct6434327043676314
91106601582051880
10230651430141132
11675467a4276170
1221a51961333290
139b9144b49b0b0
1440d58358a1620
151b9eb8ddc63dc
hexd1c6b88f7ccc

230651430141132 has 288 divisors, whose sum is σ = 782837525643264. Its totient is φ = 55299590438400.

The previous prime is 230651430141109. The next prime is 230651430141227. The reversal of 230651430141132 is 231141034156032.

230651430141132 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 51 + 430 + 1 + 41 + 132 = 666.

It is a super-2 number, since 2×2306514301411322 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2103258382 + ... + 2103368042.

It is an arithmetic number, because the mean of its divisors is an integer number (2718185852928).

Almost surely, 2230651430141132 is an apocalyptic number.

230651430141132 is a gapful number since it is divisible by the number (22) 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 230651430141132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391418762821632).

230651430141132 is an abundant number, since it is smaller than the sum of its proper divisors (552186095502132).

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

230651430141132 is a wasteful number, since it uses less digits than its factorization.

230651430141132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168069 (or 168064 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 230651430141132 its reverse (231141034156032), we get a palindrome (461792464297164).

The spelling of 230651430141132 in words is "two hundred thirty trillion, six hundred fifty-one billion, four hundred thirty million, one hundred forty-one thousand, one hundred thirty-two".