Search a number
-
+
103100233303000 = 23531792267254071
BaseRepresentation
bin10111011100010011100100…
…110010000100001111011000
3111112001021201112020011112101
4113130103210302010033120
5102003143234211144000
61003135332053453144
730500513615335453
oct2734234462041730
9445037645204471
10103100233303000
112a93a621977a4a
12b6916236411b4
13456b40590009b
141b66113b3a49a
15bdbd18984e6a
hex5dc4e4c843d8

103100233303000 has 128 divisors (see below), whose sum is σ = 242710306675200. Its totient is φ = 40991450544000.

The previous prime is 103100233302949. The next prime is 103100233303009. The reversal of 103100233303000 is 303332001301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103100233303009) 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, 405665965 + ... + 405920035.

It is an arithmetic number, because the mean of its divisors is an integer number (1896174270900).

Almost surely, 2103100233303000 is an apocalyptic number.

103100233303000 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 103100233303000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121355153337600).

103100233303000 is an abundant number, since it is smaller than the sum of its proper divisors (139610073372200).

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

103100233303000 is a wasteful number, since it uses less digits than its factorization.

103100233303000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256538 (or 256524 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 103100233303000 its reverse (303332001301), we get a palindrome (103403565304301).

The spelling of 103100233303000 in words is "one hundred three trillion, one hundred billion, two hundred thirty-three million, three hundred three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 179 200 250 358 500 716 895 1000 1432 1790 2267 3580 4475 4534 7160 8950 9068 11335 17900 18136 22375 22670 35800 44750 45340 56675 89500 90680 113350 179000 226700 254071 283375 405793 453400 508142 566750 811586 1016284 1133500 1270355 1623172 2028965 2032568 2267000 2540710 3246344 4057930 5081420 6351775 8115860 10144825 10162840 12703550 16231720 20289650 25407100 31758875 40579300 45478709 50724125 50814200 63517750 81158600 90957418 101448250 127035500 181914836 202896500 227393545 254071000 363829672 405793000 454787090 575978957 909574180 1136967725 1151957914 1819148360 2273935450 2303915828 2879894785 4547870900 4607831656 5684838625 5759789570 9095741800 11369677250 11519579140 14399473925 22739354500 23039158280 28798947850 45478709000 57597895700 71997369625 103100233303 115195791400 143994739250 206200466606 287989478500 412400933212 515501166515 575978957000 824801866424 1031002333030 2062004666060 2577505832575 4124009332120 5155011665150 10310023330300 12887529162875 20620046660600 25775058325750 51550116651500 103100233303000