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2313320020 = 2251143972521
BaseRepresentation
bin1000100111100010…
…0111011001010100
312222012220211111021
42021320213121110
514214202220040
61021314250524
7111216616144
oct21170473124
95865824437
102313320020
11a87899630
12546886a44
132ab359c1b
1417d338924
15d815324a
hex89e27654

2313320020 has 96 divisors (see below), whose sum is σ = 5480931456. Its totient is φ = 812851200.

The previous prime is 2313320017. The next prime is 2313320021. The reversal of 2313320020 is 200233132.

It is a junction number, because it is equal to n+sod(n) for n = 2313319976 and 2313320003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313320021) 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, 916360 + ... + 918880.

It is an arithmetic number, because the mean of its divisors is an integer number (57093036).

Almost surely, 22313320020 is an apocalyptic number.

2313320020 is a gapful number since it is divisible by the number (20) 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 2313320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2740465728).

2313320020 is an abundant number, since it is smaller than the sum of its proper divisors (3167611436).

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

2313320020 is a wasteful number, since it uses less digits than its factorization.

2313320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2679 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 2313320020 is about 48096.9855604278. The cubic root of 2313320020 is about 1322.5494079976.

Adding to 2313320020 its reverse (200233132), we get a palindrome (2513553152).

The spelling of 2313320020 in words is "two billion, three hundred thirteen million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 43 44 55 86 97 110 172 194 215 220 388 430 473 485 860 946 970 1067 1892 1940 2134 2365 2521 4171 4268 4730 5042 5335 8342 9460 10084 10670 12605 16684 20855 21340 25210 27731 41710 45881 50420 55462 83420 91762 108403 110924 138655 183524 216806 229405 244537 277310 433612 458810 489074 542015 554620 917620 978148 1084030 1192433 1222685 2168060 2384866 2445370 2689907 4769732 4890740 5379814 5962165 10515091 10759628 11924330 13449535 21030182 23848660 26899070 42060364 52575455 53798140 105150910 115666001 210301820 231332002 462664004 578330005 1156660010 2313320020