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12302013204 = 223213157167429
BaseRepresentation
bin10110111010100000…
…11101001100010100
31011202100102000120200
423131100131030110
5200143303410304
65352414500500
7613566246465
oct133520351424
934670360520
1012302013204
115243190668
122473b04730
1312108b8a70
14849b96d6c
154c002ae39
hex2dd41d314

12302013204 has 72 divisors (see below), whose sum is σ = 33702319560. Its totient is φ = 3761102592.

The previous prime is 12302013187. The next prime is 12302013253. The reversal of 12302013204 is 40231020321.

It can be written as a sum of positive squares in 4 ways, for example, as 747913104 + 11554100100 = 27348^2 + 107490^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10239 + ... + 157190.

Almost surely, 212302013204 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 12302013204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16851159780).

12302013204 is an abundant number, since it is smaller than the sum of its proper divisors (21400306356).

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

12302013204 is a wasteful number, since it uses less digits than its factorization.

12302013204 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167609 (or 167604 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 12302013204 its reverse (40231020321), we get a palindrome (52533033525).

The spelling of 12302013204 in words is "twelve billion, three hundred two million, thirteen thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 157 234 314 468 471 628 942 1413 1884 2041 2826 4082 5652 6123 8164 12246 18369 24492 36738 73476 167429 334858 502287 669716 1004574 1506861 2009148 2176577 3013722 4353154 6027444 6529731 8706308 13059462 19589193 26118924 26286353 39178386 52572706 78356772 78859059 105145412 157718118 236577177 315436236 341722589 473154354 683445178 946308708 1025167767 1366890356 2050335534 3075503301 4100671068 6151006602 12302013204