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213132231312231 = 37211373353370491
BaseRepresentation
bin110000011101011110110110…
…111100000000001101100111
31000221122020112122200020102110
4300131132312330000031213
5210413424302203442411
62033143332334012103
762615203243565100
oct6035366674001547
91027566478606373
10213132231312231
1161a01965259070
121baa2555047033
1391c038b1947ca
143a8b9255c33a7
1519990d23de2a6
hexc1d7b6f00367

213132231312231 has 48 divisors (see below), whose sum is σ = 361591303125888. Its totient is φ = 110421210715200.

The previous prime is 213132231312199. The next prime is 213132231312251. The reversal of 213132231312231 is 132213132231312.

It is a happy number.

It is not a de Polignac number, because 213132231312231 - 25 = 213132231312199 is a prime.

It is a super-2 number, since 2×2131322313122312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132231312251) 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, 176082105 + ... + 177288386.

It is an arithmetic number, because the mean of its divisors is an integer number (7533152148456).

Almost surely, 2213132231312231 is an apocalyptic number.

213132231312231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213132231312231 is a deficient number, since it is larger than the sum of its proper divisors (148459071813657).

213132231312231 is a wasteful number, since it uses less digits than its factorization.

213132231312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353370892 (or 353370885 counting only the distinct ones).

The product of its digits is 7776, while the sum is 30.

Adding to 213132231312231 its reverse (132213132231312), we get a palindrome (345345363543543).

The spelling of 213132231312231 in words is "two hundred thirteen trillion, one hundred thirty-two billion, two hundred thirty-one million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 11 21 33 49 77 147 231 373 539 1119 1617 2611 4103 7833 12309 18277 28721 54831 86163 201047 603141 353370491 1060111473 2473593437 3887075401 7420780311 11661226203 17315154059 27209527807 51945462177 81628583421 131807193143 190466694649 395421579429 571400083947 922650352001 1449879124573 2767951056003 4349637373719 6458552464007 10149153872011 19375657392021 30447461616033 71044077104077 213132231312231