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2312210203121 = 721361310615581
BaseRepresentation
bin100001101001011010011…
…101111100000111110001
322012001012220102110112102
4201221122131330013301
5300340401302444441
64530114213110145
7326023503305300
oct41513235740761
98161186373472
102312210203121
1181166a420445
12314156628355
1313a06ac44c30
147dca94ca437
154022c5ce69b
hex21a5a77c1f1

2312210203121 has 48 divisors (see below), whose sum is σ = 2904595173648. Its totient is φ = 1824408230400.

The previous prime is 2312210203109. The next prime is 2312210203123. The reversal of 2312210203121 is 1213020122132.

It can be written as a sum of positive squares in 8 ways, for example, as 681062320225 + 1631147882896 = 825265^2 + 1277164^2 .

It is not a de Polignac number, because 2312210203121 - 230 = 2311136461297 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2312210203093 and 2312210203102.

It is not an unprimeable number, because it can be changed into a prime (2312210203123) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 414297551 + ... + 414303131.

It is an arithmetic number, because the mean of its divisors is an integer number (60512399451).

Almost surely, 22312210203121 is an apocalyptic number.

It is an amenable number.

2312210203121 is a deficient number, since it is larger than the sum of its proper divisors (592384970527).

2312210203121 is a wasteful number, since it uses less digits than its factorization.

2312210203121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7282 (or 7275 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 2312210203121 its reverse (1213020122132), we get a palindrome (3525230325253).

The spelling of 2312210203121 in words is "two trillion, three hundred twelve billion, two hundred ten million, two hundred three thousand, one hundred twenty-one".

Divisors: 1 7 13 49 91 613 637 1061 4291 5581 7427 7969 13793 30037 39067 51989 55783 72553 96551 273469 390481 507871 650393 675857 3421153 3555097 4552751 5921441 8455109 23948071 31869257 41450087 44474989 59185763 76978733 167636497 290150609 311324923 414300341 538851131 2179274461 3629843333 3771957917 25408903331 47187963329 177862323317 330315743303 2312210203121