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213420340101132 = 223211637687663127
BaseRepresentation
bin110000100001101011001011…
…100011110100000000001100
31000222122210012110012011010200
4300201223023203310000030
5210433134324031214012
62033523541205133500
762645052661102503
oct6041531343640014
91028583173164120
10213420340101132
116200307014847a
121bb2a3600ba290
1392115b455b918
143a9b85734583a
1519a1845b6b3dc
hexc21acb8f400c

213420340101132 has 72 divisors (see below), whose sum is σ = 540014117051136. Its totient is φ = 71069590063584.

The previous prime is 213420340101127. The next prime is 213420340101179. The reversal of 213420340101132 is 231101043024312.

213420340101132 is a `hidden beast` number, since 2 + 1 + 3 + 420 + 3 + 4 + 0 + 101 + 132 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 213420340101096 and 213420340101105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321507753 + ... + 322170879.

Almost surely, 2213420340101132 is an apocalyptic number.

It is an amenable number.

213420340101132 is an abundant number, since it is smaller than the sum of its proper divisors (326593776950004).

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

213420340101132 is a wasteful number, since it uses less digits than its factorization.

213420340101132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671987 (or 671982 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 213420340101132 its reverse (231101043024312), we get a palindrome (444521383125444).

The spelling of 213420340101132 in words is "two hundred thirteen trillion, four hundred twenty billion, three hundred forty million, one hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 1163 2326 3489 4652 6978 7687 10467 13956 15374 20934 23061 30748 41868 46122 69183 92244 138366 276732 663127 1326254 1989381 2652508 3978762 5968143 7957524 8939981 11936286 17879962 23872572 26819943 35759924 53639886 80459829 107279772 160919658 321839316 771216701 1542433402 2313650103 3084866804 4627300206 5097457249 6940950309 9254600412 10194914498 13881900618 15292371747 20389828996 27763801236 30584743494 45877115241 61169486988 91754230482 183508460964 5928342780587 11856685561174 17785028341761 23713371122348 35570056683522 53355085025283 71140113367044 106710170050566 213420340101132