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230010230011032 = 2337191349951257
BaseRepresentation
bin110100010011000101101110…
…000011011111010010011000
31010011101202121101220020000000
4310103011232003133102120
5220121441422340323112
62133105124013213000
766306455630456052
oct6423055603372230
91104352541806000
10230010230011032
116731987753a079
1221969634791160
139b45b43c4c8a3
1440b27a98c88d2
151b8d16200c7dc
hexd1316e0df498

230010230011032 has 256 divisors, whose sum is σ = 680911272000000. Its totient is φ = 72628011756288.

The previous prime is 230010230011027. The next prime is 230010230011049. The reversal of 230010230011032 is 230110032010032.

230010230011032 is a `hidden beast` number, since 230 + 0 + 102 + 300 + 1 + 1 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230010230010996 and 230010230011014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4487365948 + ... + 4487417204.

It is an arithmetic number, because the mean of its divisors is an integer number (2659809656250).

Almost surely, 2230010230011032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230010230011032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340455636000000).

230010230011032 is an abundant number, since it is smaller than the sum of its proper divisors (450901041988968).

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

230010230011032 is a wasteful number, since it uses less digits than its factorization.

230010230011032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64802 (or 64780 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 230010230011032 its reverse (230110032010032), we get a palindrome (460120262021064).

The spelling of 230010230011032 in words is "two hundred thirty trillion, ten billion, two hundred thirty million, eleven thousand, thirty-two".