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232113231141000 = 233531156963123479
BaseRepresentation
bin110100110001101100010010…
…101100001001100010001000
31010102211210211011112121120120
4310301230102230021202020
5220410420344133003000
62141355202450023240
766614425151232516
oct6461542254114210
91112753734477516
10232113231141000
1167a5a739888360
1222049123577b20
139c692509b2331
1441464a9c174b6
151bc7be793d6a0
hexd31b12b09888

232113231141000 has 256 divisors, whose sum is σ = 790049301350400. Its totient is φ = 56268430688000.

The previous prime is 232113231140969. The next prime is 232113231141073. The reversal of 232113231141000 is 141132311232.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1879717261 + ... + 1879840739.

It is an arithmetic number, because the mean of its divisors is an integer number (3086130083400).

Almost surely, 2232113231141000 is an apocalyptic number.

232113231141000 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 232113231141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395024650675200).

232113231141000 is an abundant number, since it is smaller than the sum of its proper divisors (557936070209400).

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

232113231141000 is a wasteful number, since it uses less digits than its factorization.

232113231141000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180477 (or 180463 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 232113231141000 its reverse (141132311232), we get a palindrome (232254363452232).

The spelling of 232113231141000 in words is "two hundred thirty-two trillion, one hundred thirteen billion, two hundred thirty-one million, one hundred forty-one thousand".