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2312402202020 = 2253161507712043
BaseRepresentation
bin100001101001100101111…
…010010110110110100100
322012001201021201000111202
4201221211322112312210
5300341244430431040
64530145232222032
7326031324256661
oct41514572266644
98161637630452
102312402202020
11811758839019
123141aa99a918
1313a09b95a451
147dcc6bc8a68
154023e3a8015
hex21a65e96da4

2312402202020 has 96 divisors (see below), whose sum is σ = 5096293149696. Its totient is φ = 880202764800.

The previous prime is 2312402202017. The next prime is 2312402202049. The reversal of 2312402202020 is 202022042132.

2312402202020 is digitally balanced in base 2, because in such base 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 (20).

It is a junction number, because it is equal to n+sod(n) for n = 2312402201983 and 2312402202001.

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, 192006119 + ... + 192018161.

It is an arithmetic number, because the mean of its divisors is an integer number (53086386976).

Almost surely, 22312402202020 is an apocalyptic number.

2312402202020 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 2312402202020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2548146574848).

2312402202020 is an abundant number, since it is smaller than the sum of its proper divisors (2783890947676).

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

2312402202020 is a wasteful number, since it uses less digits than its factorization.

2312402202020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17221 (or 17219 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 2312402202020 its reverse (202022042132), we get a palindrome (2514424244152).

The spelling of 2312402202020 in words is "two trillion, three hundred twelve billion, four hundred two million, two hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 31 61 62 122 124 155 244 305 310 610 620 1220 1891 3782 5077 7564 9455 10154 12043 18910 20308 24086 25385 37820 48172 50770 60215 101540 120430 157387 240860 309697 314774 373333 619394 629548 734623 746666 786935 1238788 1469246 1493332 1548485 1573870 1866665 2938492 3096970 3147740 3673115 3733330 6193940 7346230 7466660 9600607 14692460 19201214 22773313 38402428 45546626 48003035 61142311 91093252 96006070 113866565 122284622 192012140 227733130 244569244 305711555 455466260 611423110 1222846220 1895411641 3729680971 3790823282 7459361942 7581646564 9477058205 14918723884 18648404855 18954116410 37296809710 37908232820 74593619420 115620110101 231240220202 462480440404 578100550505 1156201101010 2312402202020