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312022302132 = 2231941108730707
BaseRepresentation
bin1001000101001011111…
…10100111110110110100
31002211101101000020212110
410202211332213312310
520103010202132012
6355201400451020
731354126544022
oct4424576476664
91084341006773
10312022302132
11110367500892
125057b779a70
13235677a1658
141115dac7712
1581b2d8773c
hex48a5fa7db4

312022302132 has 96 divisors (see below), whose sum is σ = 785810350080. Its totient is φ = 96038542080.

The previous prime is 312022302131. The next prime is 312022302191. The reversal of 312022302132 is 231203220213.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 312022302099 and 312022302108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312022302131) 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, 10145923 + ... + 10176629.

It is an arithmetic number, because the mean of its divisors is an integer number (8185524480).

Almost surely, 2312022302132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312022302132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392905175040).

312022302132 is an abundant number, since it is smaller than the sum of its proper divisors (473788047948).

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

312022302132 is a wasteful number, since it uses less digits than its factorization.

312022302132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31861 (or 31859 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 312022302132 its reverse (231203220213), we get a palindrome (543225522345).

The spelling of 312022302132 in words is "three hundred twelve billion, twenty-two million, three hundred two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 41 57 76 82 114 123 164 228 246 492 779 1087 1558 2174 2337 3116 3261 4348 4674 6522 9348 13044 20653 30707 41306 44567 61414 61959 82612 89134 92121 122828 123918 133701 178268 184242 247836 267402 368484 534804 583433 846773 1166866 1258987 1693546 1750299 2333732 2517974 2540319 3387092 3500598 3776961 5035948 5080638 7001196 7553922 10161276 15107844 23920753 33378509 47841506 66757018 71762259 95683012 100135527 133514036 143524518 200271054 287049036 400542108 634191671 1268383342 1368518869 1902575013 2536766684 2737037738 3805150026 4105556607 5474075476 7610300052 8211113214 16422226428 26001858511 52003717022 78005575533 104007434044 156011151066 312022302132