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130031103132 = 223272333895693
BaseRepresentation
bin111100100011001110…
…1010010110010011100
3110102122002110110002200
41321012131102302130
54112300430300012
6135422505451500
712252202066020
oct1710635226234
9412562413080
10130031103132
11501671933a7
122124b1a0b90
13c353474958
146417684380
1535b09593dc
hex1e46752c9c

130031103132 has 144 divisors (see below), whose sum is σ = 378293872320. Its totient is φ = 36890717184.

The previous prime is 130031103121. The next prime is 130031103193. The reversal of 130031103132 is 231301130031.

It is a happy number.

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

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22837678 + ... + 22843370.

It is an arithmetic number, because the mean of its divisors is an integer number (2627040780).

Almost surely, 2130031103132 is an apocalyptic number.

130031103132 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 130031103132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189146936160).

130031103132 is an abundant number, since it is smaller than the sum of its proper divisors (248262769188).

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

130031103132 is a wasteful number, since it uses less digits than its factorization.

130031103132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6332 (or 6327 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 130031103132 its reverse (231301130031), we get a palindrome (361332233163).

The spelling of 130031103132 in words is "one hundred thirty billion, thirty-one million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 233 252 389 466 699 778 932 1167 1398 1556 1631 2097 2334 2723 2796 3262 3501 4194 4668 4893 5446 5693 6524 7002 8169 8388 9786 10892 11386 14004 14679 16338 17079 19572 22772 24507 29358 32676 34158 39851 49014 51237 58716 68316 79702 90637 98028 102474 119553 159404 181274 204948 239106 271911 358659 362548 478212 543822 634459 717318 815733 1087644 1268918 1326469 1434636 1631466 1903377 2214577 2537836 2652938 3262932 3806754 3979407 4429154 5305876 5710131 6643731 7613508 7958814 8858308 9285283 11420262 11938221 13287462 15502039 15917628 18570566 19931193 22840524 23876442 26574924 27855849 31004078 37141132 39862386 46506117 47752884 55711698 62008156 79724772 83567547 93012234 111423396 139518351 167135094 186024468 279036702 334270188 515996441 558073404 1031992882 1547989323 2063985764 3095978646 3611975087 4643967969 6191957292 7223950174 9287935938 10835925261 14447900348 18575871876 21671850522 32507775783 43343701044 65015551566 130031103132