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2313111040 = 2954321013
BaseRepresentation
bin1000100111011111…
…0100011000000000
312222012112012211021
42021313310120000
514214124023130
61021305555224
7111215055652
oct21167643000
95865465737
102313111040
11a87766619
125467a5b14
132ab2b5a76
1417d2c26d2
15d811137a
hex89df4600

2313111040 has 80 divisors (see below), whose sum is σ = 5675293008. Its totient is φ = 903684096.

The previous prime is 2313111029. The next prime is 2313111043. The reversal of 2313111040 is 401113132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313111043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99574 + ... + 120586.

Almost surely, 22313111040 is an apocalyptic number.

2313111040 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 2313111040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2837646504).

2313111040 is an abundant number, since it is smaller than the sum of its proper divisors (3362181968).

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

2313111040 is an equidigital number, since it uses as much as digits as its factorization.

2313111040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21079 (or 21063 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2313111040 is about 48094.8130259387. The cubic root of 2313111040 is about 1322.5095814429.

Adding to 2313111040 its reverse (401113132), we get a palindrome (2714224172).

The spelling of 2313111040 in words is "two billion, three hundred thirteen million, one hundred eleven thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 512 640 688 860 1280 1376 1720 2560 2752 3440 5504 6880 11008 13760 21013 22016 27520 42026 55040 84052 105065 110080 168104 210130 336208 420260 672416 840520 903559 1344832 1681040 1807118 2689664 3362080 3614236 4517795 5379328 6724160 7228472 9035590 10758656 13448320 14456944 18071180 26896640 28913888 36142360 53793280 57827776 72284720 115655552 144569440 231311104 289138880 462622208 578277760 1156555520 2313111040