Search a number
-
+
13300030310200 = 23522311172588461
BaseRepresentation
bin1100000110001010011110…
…0101010000011100111000
31202002110200222110110210121
43001202213211100130320
53220401430224411300
644141541035223024
72541616102224004
oct301424745203470
952073628413717
1013300030310200
114268569419547
1215a97752a7a74
13756258b6a24a
1433da211b7704
15180e6e83181a
hexc18a7950738

13300030310200 has 96 divisors (see below), whose sum is σ = 32295929758560. Its totient is φ = 5084149593600.

The previous prime is 13300030310197. The next prime is 13300030310219. The reversal of 13300030310200 is 201303000331.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3843970 + ... + 6432430.

It is an arithmetic number, because the mean of its divisors is an integer number (336415934985).

Almost surely, 213300030310200 is an apocalyptic number.

13300030310200 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 13300030310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16147964879280).

13300030310200 is an abundant number, since it is smaller than the sum of its proper divisors (18995899448360).

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

13300030310200 is a wasteful number, since it uses less digits than its factorization.

13300030310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2589617 (or 2589608 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

Adding to 13300030310200 its reverse (201303000331), we get a palindrome (13501333310531).

The spelling of 13300030310200 in words is "thirteen trillion, three hundred billion, thirty million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 575 920 1117 1150 2234 2300 4468 4600 5585 8936 11170 22340 25691 27925 44680 51382 55850 102764 111700 128455 205528 223400 256910 513820 642275 1027640 1284550 2569100 2588461 5138200 5176922 10353844 12942305 20707688 25884610 51769220 59534603 64711525 103538440 119069206 129423050 238138412 258846100 297673015 476276824 517692200 595346030 1190692060 1488365075 2381384120 2891310937 2976730150 5782621874 5953460300 11565243748 11906920600 14456554685 23130487496 28913109370 57826218740 66500151551 72282773425 115652437480 133000303102 144565546850 266000606204 289131093700 332500757755 532001212408 578262187400 665001515510 1330003031020 1662503788775 2660006062040 3325007577550 6650015155100 13300030310200