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12301130232 = 2333173798839
BaseRepresentation
bin10110111010011010…
…00101100111111000
31011202021202011101000
423131031011213320
5200143042131412
65352343525000
7613555611306
oct133515054770
934667664330
1012301130232
115242738236
122473759760
131210669bb1
14849a07276
154bee044dc
hex2dd3459f8

12301130232 has 128 divisors (see below), whose sum is σ = 36279360000. Its totient is φ = 3848560128.

The previous prime is 12301130213. The next prime is 12301130239. The reversal of 12301130232 is 23203110321.

12301130232 is a `hidden beast` number, since 1 + 2 + 301 + 130 + 232 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12301130239) 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, 1387269 + ... + 1396107.

It is an arithmetic number, because the mean of its divisors is an integer number (283432500).

Almost surely, 212301130232 is an apocalyptic number.

12301130232 is a gapful number since it is divisible by the number (12) 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 12301130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680000).

12301130232 is an abundant number, since it is smaller than the sum of its proper divisors (23978229768).

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

12301130232 is a wasteful number, since it uses less digits than its factorization.

12301130232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9250 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12301130232 its reverse (23203110321), we get a palindrome (35504240553).

The spelling of 12301130232 in words is "twelve billion, three hundred one million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 379 408 459 612 758 918 1137 1224 1516 1836 2274 3032 3411 3672 4548 6443 6822 8839 9096 10233 12886 13644 17678 19329 20466 25772 26517 27288 35356 38658 40932 51544 53034 57987 70712 77316 79551 81864 106068 115974 150263 154632 159102 173961 212136 231948 238653 300526 318204 347922 450789 463896 477306 601052 636408 695844 901578 954612 1202104 1352367 1391688 1803156 1909224 2704734 3349981 3606312 4057101 5409468 6699962 8114202 10049943 10818936 13399924 16228404 20099886 26799848 30149829 32456808 40199772 56949677 60299658 80399544 90449487 113899354 120599316 170849031 180898974 227798708 241198632 341698062 361797948 455597416 512547093 683396124 723595896 1025094186 1366792248 1537641279 2050188372 3075282558 4100376744 6150565116 12301130232