Search a number
-
+
100202231313020 = 225234348857103687
BaseRepresentation
bin10110110010001000100110…
…011001110011001001111100
3111010210020110210012122211002
4112302020212121303021330
5101113203132204004040
6553040134121345432
730051241463013104
oct2662104631631174
9433706423178732
10100202231313020
1129a22589344921
12b2a3a44638278
1343bb05080b285
141aa5b573a2204
15b8b753a98a15
hex5b222667327c

100202231313020 has 96 divisors (see below), whose sum is σ = 224686713259008. Its totient is φ = 37445530332672.

The previous prime is 100202231312999. The next prime is 100202231313031. The reversal of 100202231313020 is 20313132202001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100202231312983 and 100202231313001.

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 31 ways as a sum of consecutive naturals, for example, 966339617 + ... + 966443303.

It is an arithmetic number, because the mean of its divisors is an integer number (2340486596448).

Almost surely, 2100202231313020 is an apocalyptic number.

100202231313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100202231313020 is an abundant number, since it is smaller than the sum of its proper divisors (124484481945988).

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

100202231313020 is a wasteful number, since it uses less digits than its factorization.

100202231313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152619 (or 152617 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 100202231313020 its reverse (20313132202001), we get a palindrome (120515363515021).

The spelling of 100202231313020 in words is "one hundred trillion, two hundred two billion, two hundred thirty-one million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 23 43 46 86 92 115 172 215 230 430 460 860 989 1978 3956 4945 9890 19780 48857 97714 103687 195428 207374 244285 414748 488570 518435 977140 1036870 1123711 2073740 2100851 2247422 2384801 4201702 4458541 4494844 4769602 5618555 8403404 8917082 9539204 10504255 11237110 11924005 17834164 21008510 22292705 22474220 23848010 42017020 44585410 47696020 48319573 89170820 96639146 102546443 193278292 205092886 241597865 410185772 483195730 512732215 966391460 1025464430 2050928860 5065835759 10131671518 20263343036 25329178795 50658357590 101316715180 116514222457 217830937637 233028444914 435661875274 466056889828 582571112285 871323750548 1089154688185 1165142224570 2178309376370 2330284449140 4356618752740 5010111565651 10020223131302 20040446262604 25050557828255 50101115656510 100202231313020