Search a number
-
+
130132249600 = 2105223921269
BaseRepresentation
bin111100100110001111…
…1001000110000000000
3110102220010210012222011
41321030133020300000
54113002323441400
6135440521422304
712254540604463
oct1711437106000
9412803705864
10130132249600
1150209298221
122127903a994
13c36b3ca232
146426c932da
1535b97888ba
hex1e4c7c8c00

130132249600 has 132 divisors (see below), whose sum is σ = 323935293600. Its totient is φ = 51832668160.

The previous prime is 130132249567. The next prime is 130132249601. The reversal of 130132249600 is 6942231031.

130132249600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (130132249601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6107766 + ... + 6129034.

Almost surely, 2130132249600 is an apocalyptic number.

130132249600 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 130132249600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161967646800).

130132249600 is an abundant number, since it is smaller than the sum of its proper divisors (193803044000).

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

130132249600 is a wasteful number, since it uses less digits than its factorization.

130132249600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21538 (or 21515 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 130132249600 in words is "one hundred thirty billion, one hundred thirty-two million, two hundred forty-nine thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 128 160 200 239 256 320 400 478 512 640 800 956 1024 1195 1280 1600 1912 2390 2560 3200 3824 4780 5120 5975 6400 7648 9560 11950 12800 15296 19120 21269 23900 25600 30592 38240 42538 47800 61184 76480 85076 95600 106345 122368 152960 170152 191200 212690 244736 305920 340304 382400 425380 531725 611840 680608 764800 850760 1063450 1223680 1361216 1529600 1701520 2126900 2722432 3059200 3403040 4253800 5083291 5444864 6118400 6806080 8507600 10166582 10889728 13612160 17015200 20333164 21779456 25416455 27224320 34030400 40666328 50832910 54448640 68060800 81332656 101665820 108897280 127082275 136121600 162665312 203331640 254164550 272243200 325330624 406663280 508329100 544486400 650661248 813326560 1016658200 1301322496 1626653120 2033316400 2602644992 3253306240 4066632800 5205289984 6506612480 8133265600 13013224960 16266531200 26026449920 32533062400 65066124800 130132249600