Search a number
-
+
1002131130300 = 2235219175812479
BaseRepresentation
bin11101001010100111010…
…10111000011110111100
310112210200020112001122220
432211103222320132330
5112404331032132200
62044212300005340
7132254513026626
oct16452352703674
93483606461586
101002131130300
11357001996703
12142277830850
1373667965ca1
14367094b7c16
151b1038cc4a0
hexe953ab87bc

1002131130300 has 72 divisors (see below), whose sum is σ = 3052104652800. Its totient is φ = 253169968320.

The previous prime is 1002131130277. The next prime is 1002131130313. The reversal of 1002131130300 is 30311312001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1002131130300.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87900540 + ... + 87911939.

It is an arithmetic number, because the mean of its divisors is an integer number (42390342400).

Almost surely, 21002131130300 is an apocalyptic number.

1002131130300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002131130300 is an abundant number, since it is smaller than the sum of its proper divisors (2049973522500).

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

1002131130300 is a wasteful number, since it uses less digits than its factorization.

1002131130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175812515 (or 175812508 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1002131130300 its reverse (30311312001), we get a palindrome (1032442442301).

The spelling of 1002131130300 in words is "one trillion, two billion, one hundred thirty-one million, one hundred thirty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 175812479 351624958 527437437 703249916 879062395 1054874874 1758124790 2109749748 2637187185 3340437101 3516249580 4395311975 5274374370 6680874202 8790623950 10021311303 10548748740 13185935925 13361748404 16702185505 17581247900 20042622606 26371871850 33404371010 40085245212 50106556515 52743743700 66808742020 83510927525 100213113030 167021855050 200426226060 250532782575 334043710100 501065565150 1002131130300