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213132311 = 734191483
BaseRepresentation
bin11001011010000…
…10010000010111
3112212001020120022
430231002100113
5414030213221
633052055355
75165411000
oct1455022027
9485036508
10213132311
11aa342507
125b46455b
13352047c2
14204401a7
1513aa04ab
hexcb42417

213132311 has 16 divisors (see below), whose sum is σ = 249312000. Its totient is φ = 182125944.

The previous prime is 213132301. The next prime is 213132331. The reversal of 213132311 is 113231312.

It is a de Polignac number, because none of the positive numbers 2k-213132311 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 213132311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132301) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142976 + ... + 144458.

It is an arithmetic number, because the mean of its divisors is an integer number (15582000).

Almost surely, 2213132311 is an apocalyptic number.

213132311 is a deficient number, since it is larger than the sum of its proper divisors (36179689).

213132311 is an equidigital number, since it uses as much as digits as its factorization.

213132311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1923 (or 1909 counting only the distinct ones).

The product of its digits is 108, while the sum is 17.

The square root of 213132311 is about 14599.0517157794. The cubic root of 213132311 is about 597.3328942190.

Adding to 213132311 its reverse (113231312), we get a palindrome (326363623).

Subtracting from 213132311 its reverse (113231312), we obtain a palindrome (99900999).

The spelling of 213132311 in words is "two hundred thirteen million, one hundred thirty-two thousand, three hundred eleven".

Divisors: 1 7 49 343 419 1483 2933 10381 20531 72667 143717 508669 621377 4349639 30447473 213132311