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130653631600 = 24522339531471
BaseRepresentation
bin111100110101110010…
…0000011010001110000
3110111020110212011121121
41321223210003101300
54120034312202400
6140004344432024
712303501354562
oct1715344032160
9414213764547
10130653631600
1150456629238
12213a3778614
13c42242a7ab
146476213332
1535ea42721a
hex1e6b903470

130653631600 has 120 divisors (see below), whose sum is σ = 315787859712. Its totient is φ = 51947212800.

The previous prime is 130653631573. The next prime is 130653631723. The reversal of 130653631600 is 6136356031.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 88818865 + ... + 88820335.

Almost surely, 2130653631600 is an apocalyptic number.

130653631600 is a gapful number since it is divisible by the number (10) 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 130653631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157893929856).

130653631600 is an abundant number, since it is smaller than the sum of its proper divisors (185134228112).

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

130653631600 is a wasteful number, since it uses less digits than its factorization.

130653631600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2675 (or 2664 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 34.

Adding to 130653631600 its reverse (6136356031), we get a palindrome (136789987631).

The spelling of 130653631600 in words is "one hundred thirty billion, six hundred fifty-three million, six hundred thirty-one thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 233 400 466 932 953 1165 1471 1864 1906 2330 2942 3728 3812 4660 4765 5825 5884 7355 7624 9320 9530 11650 11768 14710 15248 18640 19060 23300 23536 23825 29420 36775 38120 46600 47650 58840 73550 76240 93200 95300 117680 147100 190600 222049 294200 342743 381200 444098 588400 685486 888196 1110245 1370972 1401863 1713715 1776392 2220490 2741944 2803726 3427430 3552784 4440980 5483888 5551225 5607452 6854860 7009315 8568575 8881960 11102450 11214904 13709720 14018630 17137150 17763920 22204900 22429808 27419440 28037260 34274300 35046575 44409800 56074520 68548600 70093150 88819600 112149040 137097200 140186300 280372600 326634079 560745200 653268158 1306536316 1633170395 2613072632 3266340790 5226145264 6532681580 8165851975 13065363160 16331703950 26130726320 32663407900 65326815800 130653631600