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320011130232 = 2332101396711093
BaseRepresentation
bin1001010100000100010…
…01100101010101111000
31010121000010101202210200
410222002021211111320
520220340322131412
6403002221042200
732056113504033
oct4520211452570
91117003352720
10320011130232
11113796a38662
125202b0b6360
132423b902681
14116baac401a
1584ce3c79dc
hex4a82265578

320011130232 has 96 divisors (see below), whose sum is σ = 875577530880. Its totient is φ = 105578092800.

The previous prime is 320011130203. The next prime is 320011130237. The reversal of 320011130232 is 232031110023.

320011130232 is a `hidden beast` number, since 320 + 0 + 1 + 11 + 302 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320011130237) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28842478 + ... + 28853570.

It is an arithmetic number, because the mean of its divisors is an integer number (9120599280).

Almost surely, 2320011130232 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 320011130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437788765440).

320011130232 is an abundant number, since it is smaller than the sum of its proper divisors (555566400648).

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

320011130232 is a wasteful number, since it uses less digits than its factorization.

320011130232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15173 (or 15166 counting only the distinct ones).

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

Adding to 320011130232 its reverse (232031110023), we get a palindrome (552042240255).

The spelling of 320011130232 in words is "three hundred twenty billion, eleven million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 202 303 404 606 808 909 1212 1818 2424 3636 3967 7272 7934 11093 11901 15868 22186 23802 31736 33279 35703 44372 47604 66558 71406 88744 95208 99837 133116 142812 199674 266232 285624 399348 400667 798696 801334 1120393 1202001 1602668 2240786 2404002 3205336 3361179 3606003 4481572 4808004 6722358 7212006 8963144 9616008 10083537 13444716 14424012 20167074 26889432 28848024 40334148 44005931 80668296 88011862 132017793 176023724 264035586 352047448 396053379 528071172 792106758 1056142344 1584213516 3168427032 4444599031 8889198062 13333797093 17778396124 26667594186 35556792248 40001391279 53335188372 80002782558 106670376744 160005565116 320011130232