Search a number
-
+
232013010000 = 2435415151217
BaseRepresentation
bin1101100000010100001…
…1011001010001010000
3211011212101102002110110
43120011003121101100
512300130312310000
6254330232001320
722522333021452
oct3300503312120
9734771362413
10232013010000
118a43a328462
1238b70830240
1318b56765245
14b32da102d2
15607db80850
hex36050d9450

232013010000 has 200 divisors, whose sum is σ = 753943710784. Its totient is φ = 61459200000.

The previous prime is 232013009981. The next prime is 232013010013. The reversal of 232013010000 is 10310232.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4504392 + ... + 4555608.

Almost surely, 2232013010000 is an apocalyptic number.

232013010000 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 232013010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376971855392).

232013010000 is an abundant number, since it is smaller than the sum of its proper divisors (521930700784).

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

232013010000 is a wasteful number, since it uses less digits than its factorization.

232013010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51399 (or 51378 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 232013010000 its reverse (10310232), we get a palindrome (232023320232).

The spelling of 232013010000 in words is "two hundred thirty-two billion, thirteen million, ten thousand".