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2312132311120 = 2451012331228133
BaseRepresentation
bin100001101001010101110…
…100110011100001010000
322012001000110212010210111
4201221111310303201100
5300340221332423440
64530102351411104
7326021536242022
oct41512564634120
98161013763714
102312132311120
1181162a459a95
12314134523a94
1313a057a721a8
147dc9d012012
15402258454ea
hex21a55d33850

2312132311120 has 80 divisors (see below), whose sum is σ = 5452237030032. Its totient is φ = 911765196800.

The previous prime is 2312132311117. The next prime is 2312132311183. The reversal of 2312132311120 is 211132312132.

It can be written as a sum of positive squares in 8 ways, for example, as 111882222144 + 2200250088976 = 334488^2 + 1483324^2 .

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

It is a super-2 number, since 2×23121323111202 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2312132311091 and 2312132311100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1268574 + ... + 2496706.

Almost surely, 22312132311120 is an apocalyptic number.

2312132311120 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 2312132311120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726118515016).

2312132311120 is an abundant number, since it is smaller than the sum of its proper divisors (3140104718912).

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

2312132311120 is a wasteful number, since it uses less digits than its factorization.

2312132311120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1228480 (or 1228474 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 2312132311120 its reverse (211132312132), we get a palindrome (2523264623252).

The spelling of 2312132311120 in words is "two trillion, three hundred twelve billion, one hundred thirty-two million, three hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 233 404 466 505 808 932 1010 1165 1616 1864 2020 2330 3728 4040 4660 8080 9320 18640 23533 47066 94132 117665 188264 235330 376528 470660 941320 1228133 1882640 2456266 4912532 6140665 9825064 12281330 19650128 24562660 49125320 98250640 124041433 248082866 286154989 496165732 572309978 620207165 992331464 1144619956 1240414330 1430774945 1984662928 2289239912 2480828660 2861549890 4578479824 4961657320 5723099780 9923314640 11446199560 22892399120 28901653889 57803307778 115606615556 144508269445 231213231112 289016538890 462426462224 578033077780 1156066155560 2312132311120