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2312132311332 = 2232131490274027
BaseRepresentation
bin100001101001010101110…
…100110011100100100100
322012001000110212011002100
4201221111310303210210
5300340221332430312
64530102351412100
7326021536242444
oct41512564634444
98161013764070
102312132311332
1181162a45a168
12314134524030
1313a057a7230c
147dc9d012124
15402258455dc
hex21a55d33924

2312132311332 has 36 divisors (see below), whose sum is σ = 5889171624336. Its totient is φ = 764827480560.

The previous prime is 2312132311319. The next prime is 2312132311351. The reversal of 2312132311332 is 2331132312132.

2312132311332 is a `hidden beast` number, since 2 + 3 + 1 + 2 + 1 + 323 + 1 + 1 + 332 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×23121323113322 (a number of 26 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2312132311296 and 2312132311305.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 245132298 + ... + 245141729.

It is an arithmetic number, because the mean of its divisors is an integer number (163588100676).

Almost surely, 22312132311332 is an apocalyptic number.

It is an amenable number.

2312132311332 is an abundant number, since it is smaller than the sum of its proper divisors (3577039313004).

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

2312132311332 is a wasteful number, since it uses less digits than its factorization.

2312132311332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490274168 (or 490274163 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

Adding to 2312132311332 its reverse (2331132312132), we get a palindrome (4643264623464).

The spelling of 2312132311332 in words is "two trillion, three hundred twelve billion, one hundred thirty-two million, three hundred eleven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 131 262 393 524 786 1179 1572 2358 4716 490274027 980548054 1470822081 1961096108 2941644162 4412466243 5883288324 8824932486 17649864972 64225897537 128451795074 192677692611 256903590148 385355385222 578033077833 770710770444 1156066155666 2312132311332