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12231303032 = 23132326919009
BaseRepresentation
bin10110110010000101…
…01101111101111000
31011120102100120110102
423121002231331320
5200022203144112
65341411134532
7612050234414
oct133102557570
934512316412
1012231303032
115207285003
1224542a4448
1311cc05bc20
1484062bd44
154b8c0ebc2
hex2d90adf78

12231303032 has 64 divisors (see below), whose sum is σ = 25868808000. Its totient is φ = 5379416064.

The previous prime is 12231303031. The next prime is 12231303061. The reversal of 12231303032 is 23030313221.

It is a super-2 number, since 2×122313030322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12231302995 and 12231303013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12231303031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 633944 + ... + 652952.

It is an arithmetic number, because the mean of its divisors is an integer number (404200125).

Almost surely, 212231303032 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 12231303032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12934404000).

12231303032 is an abundant number, since it is smaller than the sum of its proper divisors (13637504968).

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

12231303032 is a wasteful number, since it uses less digits than its factorization.

12231303032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19320 (or 19316 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 12231303032 its reverse (23030313221), we get a palindrome (35261616253).

The spelling of 12231303032 in words is "twelve billion, two hundred thirty-one million, three hundred three thousand, thirty-two".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 184 269 299 538 598 1076 1196 2152 2392 3497 6187 6994 12374 13988 19009 24748 27976 38018 49496 76036 80431 152072 160862 247117 321724 437207 494234 643448 874414 988468 1748828 1976936 3497656 5113421 5683691 10226842 11367382 20453684 22734764 40907368 45469528 66474473 117608683 132948946 235217366 265897892 470434732 531795784 940869464 1528912879 3057825758 6115651516 12231303032