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12323761340 = 22511397141101
BaseRepresentation
bin10110111101000110…
…11010110010111100
31011210212022221102012
423132203122302330
5200214340330330
65354512550352
7614252146232
oct133643326274
934725287365
1012323761340
115254495330
12247b2523b8
131215261a97
1484ca18952
154c1dc4c95
hex2de8dacbc

12323761340 has 48 divisors (see below), whose sum is σ = 28303932384. Its totient is φ = 4470048000.

The previous prime is 12323761321. The next prime is 12323761433. The reversal of 12323761340 is 4316732321.

It is a junction number, because it is equal to n+sod(n) for n = 12323761297 and 12323761306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16790 + ... + 157890.

It is an arithmetic number, because the mean of its divisors is an integer number (589665258).

Almost surely, 212323761340 is an apocalyptic number.

12323761340 is a gapful number since it is divisible by the number (10) 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 12323761340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14151966192).

12323761340 is an abundant number, since it is smaller than the sum of its proper divisors (15980171044).

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

12323761340 is a wasteful number, since it uses less digits than its factorization.

12323761340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141518 (or 141516 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 32.

The spelling of 12323761340 in words is "twelve billion, three hundred twenty-three million, seven hundred sixty-one thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 397 794 1588 1985 3970 4367 7940 8734 17468 21835 43670 87340 141101 282202 564404 705505 1411010 1552111 2822020 3104222 6208444 7760555 15521110 31042220 56017097 112034194 224068388 280085485 560170970 616188067 1120341940 1232376134 2464752268 3080940335 6161880670 12323761340