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12023003132 = 22743611271289
BaseRepresentation
bin10110011001010000…
…00111011111111100
31011000220101211201022
423030220013133330
5144110342100012
65305010403312
7603640561160
oct131450073774
934026354638
1012023003132
11510a743228
1223b6590538
131197b59b4a
14820ac8ca0
154a57b6472
hex2cca077fc

12023003132 has 96 divisors (see below), whose sum is σ = 25225052160. Its totient is φ = 4907589120.

The previous prime is 12023003131. The next prime is 12023003149. The reversal of 12023003132 is 23130032021.

It is a self number, because there is not a number n which added to its sum of digits gives 12023003132.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12023003131) 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 31 ways as a sum of consecutive naturals, for example, 9326744 + ... + 9328032.

It is an arithmetic number, because the mean of its divisors is an integer number (262760960).

Almost surely, 212023003132 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 12023003132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12612526080).

12023003132 is an abundant number, since it is smaller than the sum of its proper divisors (13202049028).

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

12023003132 is a wasteful number, since it uses less digits than its factorization.

12023003132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1529 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 12023003132 its reverse (23130032021), we get a palindrome (35153035153).

The spelling of 12023003132 in words is "twelve billion, twenty-three million, three thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 43 61 86 122 127 172 244 254 301 427 508 602 854 889 1204 1289 1708 1778 2578 2623 3556 5156 5246 5461 7747 9023 10492 10922 15494 18046 18361 21844 30988 36092 36722 38227 54229 55427 73444 76454 78629 108458 110854 152908 157258 163703 216916 221708 314516 327406 333121 387989 550403 654812 666242 775978 1100806 1145921 1332484 1551956 2201612 2291842 2331847 3381047 4583684 4663694 6762094 7039229 9327388 9985883 13524188 14078458 19971766 23667329 28156916 39943532 47334658 49274603 69901181 94669316 98549206 139802362 197098412 279604724 429392969 858785938 1717571876 3005750783 6011501566 12023003132