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2313410000 = 24541121031
BaseRepresentation
bin1000100111100011…
…1101010111010000
312222020002101220212
42021320331113100
514214213110000
61021320223252
7111220442366
oct21170752720
95866071825
102313410000
11a879501a0
1254690ab28
132ab38bb75
1417d35d636
15d816ec35
hex89e3d5d0

2313410000 has 100 divisors (see below), whose sum is σ = 6110469024. Its totient is φ = 841200000.

The previous prime is 2313409991. The next prime is 2313410041. The reversal of 2313410000 is 143132.

2313410000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (100).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 99485 + ... + 120515.

Almost surely, 22313410000 is an apocalyptic number.

2313410000 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 2313410000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3055234512).

2313410000 is an abundant number, since it is smaller than the sum of its proper divisors (3797059024).

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

2313410000 is a wasteful number, since it uses less digits than its factorization.

2313410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21070 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 2313410000 is about 48097.9209529892. The cubic root of 2313410000 is about 1322.5665552797.

Adding to 2313410000 its reverse (143132), we get a palindrome (2313553132).

The spelling of 2313410000 in words is "two billion, three hundred thirteen million, four hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1375 2000 2200 2500 2750 4400 5000 5500 6875 10000 11000 13750 21031 22000 27500 42062 55000 84124 105155 110000 168248 210310 231341 336496 420620 462682 525775 841240 925364 1051550 1156705 1682480 1850728 2103100 2313410 2628875 3701456 4206200 4626820 5257750 5783525 8412400 9253640 10515500 11567050 13144375 18507280 21031000 23134100 26288750 28917625 42062000 46268200 52577500 57835250 92536400 105155000 115670500 144588125 210310000 231341000 289176250 462682000 578352500 1156705000 2313410000