Search a number
-
+
10230233132232 = 23364389458363
BaseRepresentation
bin1001010011011110100101…
…1010010110110011001000
31100020000000112111012000000
42110313221122112303020
52320103004140212412
633431412040043000
72104052466600051
oct224675132266310
940200015435000
1010230233132232
1132946879a0a13
121192830463460
13592925c27649
142752085c3728
1512b1a26e24dc
hex94de9696cc8

10230233132232 has 224 divisors, whose sum is σ = 29758916008800. Its totient is φ = 3293341970688.

The previous prime is 10230233132219. The next prime is 10230233132261. The reversal of 10230233132232 is 23223133203201.

10230233132232 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 0 + 2 + 331 + 322 + 3 + 2 = 666.

10230233132232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10230233132196 and 10230233132205.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 22089883 + ... + 22548245.

Almost surely, 210230233132232 is an apocalyptic number.

10230233132232 is a gapful number since it is divisible by the number (12) 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 10230233132232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879458004400).

10230233132232 is an abundant number, since it is smaller than the sum of its proper divisors (19528682876568).

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

10230233132232 is an equidigital number, since it uses as much as digits as its factorization.

10230233132232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 458519 (or 458500 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 10230233132232 its reverse (23223133203201), we get a palindrome (33453366335433).

The spelling of 10230233132232 in words is "ten trillion, two hundred thirty billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred thirty-two".