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130116936330 = 2345614675639
BaseRepresentation
bin111100100101110010…
…0101110001010001010
3110102212001222020010000
41321023210232022022
54112434413430310
6135435213303430
712254263465413
oct1711344561212
9412761866100
10130116936330
1150200689127
1221273a94b76
13c368198124
146424c2880a
1535b82614c0
hex1e4b92e28a

130116936330 has 160 divisors (see below), whose sum is σ = 356430222720. Its totient is φ = 34049911680.

The previous prime is 130116936241. The next prime is 130116936331. The reversal of 130116936330 is 33639611031.

It is a happy number.

130116936330 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 16 + 9 + 3 + 633 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (130116936331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23071651 + ... + 23077289.

It is an arithmetic number, because the mean of its divisors is an integer number (2227688892).

Almost surely, 2130116936330 is an apocalyptic number.

130116936330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130116936330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178215111360).

130116936330 is an abundant number, since it is smaller than the sum of its proper divisors (226313286390).

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

130116936330 is a wasteful number, since it uses less digits than its factorization.

130116936330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6186 (or 6177 counting only the distinct ones).

The product of its (nonzero) digits is 26244, while the sum is 36.

The spelling of 130116936330 in words is "one hundred thirty billion, one hundred sixteen million, nine hundred thirty-six thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 81 90 122 135 162 183 270 305 366 405 467 549 610 810 915 934 1098 1401 1647 1830 2335 2745 2802 3294 4203 4670 4941 5490 5639 7005 8235 8406 9882 11278 12609 14010 16470 16917 21015 24705 25218 28195 28487 33834 37827 42030 49410 50751 56390 56974 63045 75654 84585 85461 101502 126090 142435 152253 169170 170922 189135 253755 256383 284870 304506 343979 378270 427305 456759 507510 512766 687958 761265 769149 854610 913518 1031937 1281915 1522530 1538298 1719895 2063874 2283795 2307447 2563830 2633413 3095811 3439790 3845745 4567590 4614894 5159685 5266826 6191622 7691490 7900239 9287433 10319370 11537235 13167065 15479055 15800478 18574866 23074470 23700717 26334130 27862299 30958110 39501195 46437165 47401434 55724598 71102151 79002390 92874330 118503585 139311495 142204302 160638193 213306453 237007170 278622990 321276386 355510755 426612906 481914579 711021510 803190965 963829158 1066532265 1445743737 1606381930 2133064530 2409572895 2891487474 4337231211 4819145790 7228718685 8674462422 13011693633 14457437370 21686156055 26023387266 43372312110 65058468165 130116936330