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2313133221020 = 225172769520411
BaseRepresentation
bin100001101010010001011…
…110111110010010011100
322012010121020020122001112
4201222101132332102130
5300344244101033040
64530345544401152
7326055411652466
oct41522136762234
98163536218045
102313133221020
11811aa3444456
123143737761b8
1313a18723a57b
147dd55d19136
1540283656365
hex21a917be49c

2313133221020 has 72 divisors (see below), whose sum is σ = 5166848092560. Its totient is φ = 869692538880.

The previous prime is 2313133221017. The next prime is 2313133221029. The reversal of 2313133221020 is 201223313132.

2313133221020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2313133221029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4184615 + ... + 4705025.

Almost surely, 22313133221020 is an apocalyptic number.

2313133221020 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 2313133221020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2583424046280).

2313133221020 is an abundant number, since it is smaller than the sum of its proper divisors (2853714871540).

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

2313133221020 is a wasteful number, since it uses less digits than its factorization.

2313133221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521223 (or 521204 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 2313133221020 its reverse (201223313132), we get a palindrome (2514356534152).

The spelling of 2313133221020 in words is "two trillion, three hundred thirteen billion, one hundred thirty-three million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 769 1156 1445 1538 2890 3076 3845 5780 7690 13073 15380 26146 52292 65365 130730 222241 261460 444482 520411 888964 1040822 1111205 2081644 2222410 2602055 4444820 5204110 8846987 10408220 17693974 35387948 44234935 88469870 150398779 176939740 300797558 400196059 601595116 751993895 800392118 1503987790 1600784236 2000980295 3007975580 4001960590 6803333003 8003921180 13606666006 27213332012 34016665015 68033330030 115656661051 136066660060 231313322102 462626644204 578283305255 1156566610510 2313133221020