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2313001020 = 22351110393373
BaseRepresentation
bin1000100111011101…
…1001100000111100
312222012022121220110
42021313121200330
514214112013040
61021303350020
7111214120131
oct21167314074
95865277813
102313001020
11a876a09a0
12546752310
132ab277975
1417d294588
15d80dd980
hex89dd983c

2313001020 has 96 divisors (see below), whose sum is σ = 7074063360. Its totient is φ = 560021760.

The previous prime is 2313000997. The next prime is 2313001027. The reversal of 2313001020 is 201003132.

It is a happy number.

2313001020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2313000987 and 2313001005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313001027) 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, 684054 + ... + 687426.

It is an arithmetic number, because the mean of its divisors is an integer number (73688160).

Almost surely, 22313001020 is an apocalyptic number.

2313001020 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 2313001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3537031680).

2313001020 is an abundant number, since it is smaller than the sum of its proper divisors (4761062340).

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

2313001020 is a wasteful number, since it uses less digits than its factorization.

2313001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4435 (or 4433 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 2313001020 is about 48093.6692299517. The cubic root of 2313001020 is about 1322.4886133170.

Adding to 2313001020 its reverse (201003132), we get a palindrome (2514004152).

The spelling of 2313001020 in words is "two billion, three hundred thirteen million, one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1039 2078 3117 3373 4156 5195 6234 6746 10119 10390 11429 12468 13492 15585 16865 20238 20780 22858 31170 33730 34287 37103 40476 45716 50595 57145 62340 67460 68574 74206 101190 111309 114290 137148 148412 171435 185515 202380 222618 228580 342870 371030 445236 556545 685740 742060 1113090 2226180 3504547 7009094 10513641 14018188 17522735 21027282 35045470 38550017 42054564 52568205 70090940 77100034 105136410 115650051 154200068 192750085 210272820 231300102 385500170 462600204 578250255 771000340 1156500510 2313001020