Search a number
-
+
230102545213000 = 23532741648112953
BaseRepresentation
bin110100010100011011101100…
…011110000010011001001000
31010011201120220000020101011101
4310110123230132002121020
5220130000003033304000
62133215352220311144
766316234401650425
oct6424335436023110
91104646800211141
10230102545213000
1167354a3a014719
12219834b89a24b4
139b5176660a555
1440b7046090d4c
151b9076675ee6a
hexd146ec782648

230102545213000 has 128 divisors (see below), whose sum is σ = 538761095439840. Its totient is φ = 91986140160000.

The previous prime is 230102545212949. The next prime is 230102545213001. The reversal of 230102545213000 is 312545201032.

It can be written as a sum of positive squares in 16 ways, for example, as 16852190840164 + 213250354372836 = 4105142^2 + 14603094^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 230102545213000.

It is not an unprimeable number, because it can be changed into a prime (230102545213001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17764414524 + ... + 17764427476.

Almost surely, 2230102545213000 is an apocalyptic number.

230102545213000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230102545213000 is an abundant number, since it is smaller than the sum of its proper divisors (308658550226840).

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

230102545213000 is a wasteful number, since it uses less digits than its factorization.

230102545213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22196 (or 22182 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The spelling of 230102545213000 in words is "two hundred thirty trillion, one hundred two billion, five hundred forty-five million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 2741 5482 6481 10964 12953 12962 13705 21928 25906 25924 27410 32405 51812 51848 54820 64765 64810 68525 103624 109640 129530 129620 137050 162025 259060 259240 274100 323825 324050 342625 518120 548200 647650 648100 685250 810125 1295300 1296200 1370500 1619125 1620250 2590600 2741000 3238250 3240500 6476500 6481000 12953000 17764421 35504173 35528842 71008346 71057684 83948393 88822105 142016692 142115368 167896786 177520865 177644210 284033384 335793572 355041730 355288420 419741965 444110525 671587144 710083460 710576840 839483930 887604325 888221050 1420166920 1678967860 1775208650 1776442100 2098709825 2220552625 3357935720 3550417300 3552884200 4197419650 4438021625 4441105250 7100834600 8394839300 8876043250 8882210500 10493549125 16789678600 17752086500 17764421000 20987098250 35504173000 41974196500 83948393000 230102545213 460205090426 920410180852 1150512726065 1840820361704 2301025452130 4602050904260 5752563630325 9204101808520 11505127260650 23010254521300 28762818151625 46020509042600 57525636303250 115051272606500 230102545213000