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2323132313232 = 2431014191143661
BaseRepresentation
bin100001110011100101011…
…110011110111010010000
322020002102002022010221010
4201303211132132322100
5301030233333010412
64535122055530520
7326561245564023
oct41634536367220
98202362263833
102323132313232
11816264699425
123162a4389a40
1313b0bb99a793
1480623cc31ba
154066b3d533c
hex21ce579ee90

2323132313232 has 80 divisors (see below), whose sum is σ = 6075315529920. Its totient is φ = 764879808000.

The previous prime is 2323132313219. The next prime is 2323132313239.

2323132313232 is nontrivially palindromic in base 10.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2323132313232.

It is not an unprimeable number, because it can be changed into a prime (2323132313239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1459482 + ... + 2603142.

It is an arithmetic number, because the mean of its divisors is an integer number (75941444124).

Almost surely, 22323132313232 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 2323132313232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3037657764960).

2323132313232 is an abundant number, since it is smaller than the sum of its proper divisors (3752183216688).

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

2323132313232 is a wasteful number, since it uses less digits than its factorization.

2323132313232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144192 (or 1144186 counting only the distinct ones).

The product of its digits is 23328, while the sum is 30.

The spelling of 2323132313232 in words is "two trillion, three hundred twenty-three billion, one hundred thirty-two million, three hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 101 202 303 404 419 606 808 838 1212 1257 1616 1676 2424 2514 3352 4848 5028 6704 10056 20112 42319 84638 126957 169276 253914 338552 507828 677104 1015656 1143661 2031312 2287322 3430983 4574644 6861966 9149288 13723932 18298576 27447864 54895728 115509761 231019522 346529283 462039044 479193959 693058566 924078088 958387918 1386117132 1437581877 1848156176 1916775836 2772234264 2875163754 3833551672 5544468528 5750327508 7667103344 11500655016 23001310032 48398589859 96797179718 145195769577 193594359436 290391539154 387188718872 580783078308 774377437744 1161566156616 2323132313232