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130531412352 = 27311108728429
BaseRepresentation
bin111100110010001000…
…1110100100110000000
3110110220221212210022210
41321210101310212000
54114312020143402
6135544301102120
712300455461335
oct1714421644600
9413827783283
10130531412352
11503a36410a0
122136a857940
13c403007703
146463cba98c
1535de83406c
hex1e64474980

130531412352 has 128 divisors (see below), whose sum is σ = 378605721600. Its totient is φ = 39517194240.

The previous prime is 130531412317. The next prime is 130531412353. The reversal of 130531412352 is 253214135031.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×1305314123522 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130531412353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4577274 + ... + 4605702.

It is an arithmetic number, because the mean of its divisors is an integer number (2957857200).

Almost surely, 2130531412352 is an apocalyptic number.

130531412352 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 130531412352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189302860800).

130531412352 is an abundant number, since it is smaller than the sum of its proper divisors (248074309248).

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

130531412352 is a wasteful number, since it uses less digits than its factorization.

130531412352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29544 (or 29532 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

Adding to 130531412352 its reverse (253214135031), we get a palindrome (383745547383).

The spelling of 130531412352 in words is "one hundred thirty billion, five hundred thirty-one million, four hundred twelve thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 528 704 1056 1087 1408 2112 2174 3261 4224 4348 6522 8696 11957 13044 17392 23914 26088 28429 34784 35871 47828 52176 56858 69568 71742 85287 95656 104352 113716 139136 143484 170574 191312 208704 227432 286968 312719 341148 382624 417408 454864 573936 625438 682296 765248 909728 938157 1147872 1250876 1364592 1530496 1819456 1876314 2295744 2501752 2729184 3638912 3752628 4591488 5003504 5458368 7505256 10007008 10916736 15010512 20014016 30021024 30902323 40028032 60042048 61804646 92706969 120084096 123609292 185413938 247218584 339925553 370827876 494437168 679851106 741655752 988874336 1019776659 1359702212 1483311504 1977748672 2039553318 2719404424 2966623008 3955497344 4079106636 5438808848 5933246016 8158213272 10877617696 11866492032 16316426544 21755235392 32632853088 43510470784 65265706176 130531412352