Search a number
-
+
13101534120 = 23354312831979
BaseRepresentation
bin11000011001110100…
…11000101110101000
31020211001211220002110
430030322120232220
5203312443042440
610004015202320
7642445126323
oct141472305650
936731756073
1013101534120
115613524554
1226578163a0
13130a43186c
148c40397ba
1551a30b080
hex30ce98ba8

13101534120 has 128 divisors (see below), whose sum is σ = 40270348800. Its totient is φ = 3408109824.

The previous prime is 13101534119. The next prime is 13101534139. The reversal of 13101534120 is 2143510131.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6619291 + ... + 6621269.

It is an arithmetic number, because the mean of its divisors is an integer number (314612100).

Almost surely, 213101534120 is an apocalyptic number.

13101534120 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 13101534120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20135174400).

13101534120 is an abundant number, since it is smaller than the sum of its proper divisors (27168814680).

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

13101534120 is a wasteful number, since it uses less digits than its factorization.

13101534120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3315 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The spelling of 13101534120 in words is "thirteen billion, one hundred one million, five hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 430 516 645 860 1032 1283 1290 1720 1979 2566 2580 3849 3958 5132 5160 5937 6415 7698 7916 9895 10264 11874 12830 15396 15832 19245 19790 23748 25660 29685 30792 38490 39580 47496 51320 55169 59370 76980 79160 85097 110338 118740 153960 165507 170194 220676 237480 255291 275845 331014 340388 425485 441352 510582 551690 662028 680776 827535 850970 1021164 1103380 1276455 1324056 1655070 1701940 2042328 2206760 2539057 2552910 3310140 3403880 5078114 5105820 6620280 7617171 10156228 10211640 12695285 15234342 20312456 25390570 30468684 38085855 50781140 60937368 76171710 101562280 109179451 152343420 218358902 304686840 327538353 436717804 545897255 655076706 873435608 1091794510 1310153412 1637691765 2183589020 2620306824 3275383530 4367178040 6550767060 13101534120