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213132321101 = 74373101137701
BaseRepresentation
bin1100011001111110101…
…1010010000101001101
3202101010120001201101102
43012133223102011031
511442443333233401
6241524525152445
721253421560310
oct3063753220515
9671116051342
10213132321101
1182430703437
12353816bb725
1317137c3cc8b
14a45c252977
15582631256b
hex319fad214d

213132321101 has 64 divisors (see below), whose sum is σ = 257389456896. Its totient is φ = 172730880000.

The previous prime is 213132321071. The next prime is 213132321113. The reversal of 213132321101 is 101123231312.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2k-213132321101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213132321601) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 304040051 + ... + 304040751.

It is an arithmetic number, because the mean of its divisors is an integer number (4021710264).

Almost surely, 2213132321101 is an apocalyptic number.

It is an amenable number.

213132321101 is a deficient number, since it is larger than the sum of its proper divisors (44257135795).

213132321101 is a wasteful number, since it uses less digits than its factorization.

213132321101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1062.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 213132321101 its reverse (101123231312), we get a palindrome (314255552413).

The spelling of 213132321101 in words is "two hundred thirteen billion, one hundred thirty-two million, three hundred twenty-one thousand, one hundred one".

Divisors: 1 7 43 73 101 137 301 511 701 707 959 3139 4343 4907 5891 7373 10001 13837 21973 30143 30401 41237 51173 51611 70007 70801 96037 96859 211001 317039 358211 430043 495607 594991 672259 1010101 2200439 2219273 3010301 3044443 4129591 4164937 5168473 7010701 7070707 9699737 15403073 21311101 28907137 36179311 43434343 49074907 67898159 222244339 301460143 304040401 417088691 708080801 1555710373 2110221001 2919620837 4956565607 30447474443 213132321101