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213222131001 = 33113407210719
BaseRepresentation
bin1100011010010100000…
…1111000010100111001
3202101100211001112102000
43012211001320110321
511443134331143001
6241541454131213
721255562131615
oct3064501702471
9671324045360
10213222131001
11824773749a0
12353a77b0b09
1317150726529
14a46a150345
15582e152a86
hex31a5078539

213222131001 has 32 divisors (see below), whose sum is σ = 344704204800. Its totient is φ = 129186991440.

The previous prime is 213222130949. The next prime is 213222131093. The reversal of 213222131001 is 100131222312.

213222131001 is a `hidden beast` number, since 2 + 132 + 221 + 310 + 0 + 1 = 666.

It is not a de Polignac number, because 213222131001 - 211 = 213222128953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213222138001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 906520 + ... + 1117238.

It is an arithmetic number, because the mean of its divisors is an integer number (10772006400).

Almost surely, 2213222131001 is an apocalyptic number.

It is an amenable number.

213222131001 is a deficient number, since it is larger than the sum of its proper divisors (131482073799).

213222131001 is a wasteful number, since it uses less digits than its factorization.

213222131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214146 (or 214140 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 213222131001 its reverse (100131222312), we get a palindrome (313353353313).

The spelling of 213222131001 in words is "two hundred thirteen billion, two hundred twenty-two million, one hundred thirty-one thousand, one".

Divisors: 1 3 9 11 27 33 99 297 3407 10221 30663 37477 91989 112431 210719 337293 632157 1011879 1896471 2317909 5689413 6953727 20861181 62583543 717919633 2153758899 6461276697 7897115963 19383830091 23691347889 71074043667 213222131001