Search a number
-
+
2301013132220 = 22511175910427867
BaseRepresentation
bin100001011110111111000…
…100100000001110111100
322010222022120011022211202
4201132333010200032330
5300144433330212340
64521023145035032
7325146151624565
oct41367704401674
98128276138752
102301013132220
11807943a20340
12311b50785a78
13138ca524a5aa
147d52639b16c
153ecc45b3c15
hex217bf1203bc

2301013132220 has 96 divisors (see below), whose sum is σ = 5676097109760. Its totient is φ = 774164771840.

The previous prime is 2301013132189. The next prime is 2301013132241. The reversal of 2301013132220 is 222313101032.

2301013132220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×23010131322202 (a number of 26 digits) contains 22 as substring.

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 = 2301013132192 and 2301013132201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4993274 + ... + 5434593.

It is an arithmetic number, because the mean of its divisors is an integer number (59126011560).

Almost surely, 22301013132220 is an apocalyptic number.

2301013132220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2301013132220 is an abundant number, since it is smaller than the sum of its proper divisors (3375083977540).

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

2301013132220 is a wasteful number, since it uses less digits than its factorization.

2301013132220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10427963 (or 10427961 counting only the distinct ones).

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

Adding to 2301013132220 its reverse (222313101032), we get a palindrome (2523326233252).

The spelling of 2301013132220 in words is "two trillion, three hundred one billion, thirteen million, one hundred thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 59 68 85 110 118 170 187 220 236 295 340 374 590 649 748 935 1003 1180 1298 1870 2006 2596 3245 3740 4012 5015 6490 10030 11033 12980 20060 22066 44132 55165 110330 220660 10427867 20855734 41711468 52139335 104278670 114706537 177273739 208557340 229413074 354547478 458826148 573532685 615244153 709094956 886368695 1147065370 1230488306 1772737390 1950011129 2294130740 2460976612 3076220765 3545474780 3900022258 6152441530 6767685683 7800044516 9750055645 10459150601 12304883060 13535371366 19500111290 20918301202 27070742732 33838428415 39000222580 41836602404 52295753005 67676856830 104591506010 115050656611 135353713660 209183012020 230101313222 460202626444 575253283055 1150506566110 2301013132220