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232100231132000 = 25537115314218343
BaseRepresentation
bin110100110001100000001011…
…110101000011001101100000
31010102210120021011201201202202
4310301200023311003031200
5220410212233132211000
62141345212454432332
766613455045046610
oct6461401365031540
91112716234651682
10232100231132000
1167a551786a7170
12220466b59626a8
139c67c5b60950a
1441459d5488a40
151bc76d64d8dd5
hexd3180bd43360

232100231132000 has 384 divisors, whose sum is σ = 724401194969088. Its totient is φ = 70977963264000.

The previous prime is 232100231131969. The next prime is 232100231132017. The reversal of 232100231132000 is 231132001232.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

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, 9214829 + ... + 23433171.

It is an arithmetic number, because the mean of its divisors is an integer number (1886461445232).

Almost surely, 2232100231132000 is an apocalyptic number.

232100231132000 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 232100231132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362200597484544).

232100231132000 is an abundant number, since it is smaller than the sum of its proper divisors (492300963837088).

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

232100231132000 is a wasteful number, since it uses less digits than its factorization.

232100231132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14218439 (or 14218421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 232100231132000 its reverse (231132001232), we get a palindrome (232331363133232).

The spelling of 232100231132000 in words is "two hundred thirty-two trillion, one hundred billion, two hundred thirty-one million, one hundred thirty-two thousand".