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213221143420131 = 37111675527157203
BaseRepresentation
bin110000011110110001101010…
…100000110001110011100011
31000221221202001002111022010210
4300132301222200301303203
5210421403400203421011
62033252235133025203
762624501463204420
oct6036615240616343
91027852032438123
10213221143420131
1161a36640884780
121bab7829625203
1391c888a7b5242
143a91d5bc14d47
15199b587ec76a6
hexc1ec6a831ce3

213221143420131 has 32 divisors (see below), whose sum is σ = 356567965544448. Its totient is φ = 110100971463840.

The previous prime is 213221143420127. The next prime is 213221143420183. The reversal of 213221143420131 is 131024341122312.

It is not a de Polignac number, because 213221143420131 - 22 = 213221143420127 is a prime.

It is a super-2 number, since 2×2132211434201312 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213221143420231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2763540025 + ... + 2763617178.

It is an arithmetic number, because the mean of its divisors is an integer number (11142748923264).

Almost surely, 2213221143420131 is an apocalyptic number.

213221143420131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213221143420131 is a deficient number, since it is larger than the sum of its proper divisors (143346822124317).

213221143420131 is a wasteful number, since it uses less digits than its factorization.

213221143420131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5527157391.

The product of its (nonzero) digits is 6912, while the sum is 30.

Adding to 213221143420131 its reverse (131024341122312), we get a palindrome (344245484542443).

The spelling of 213221143420131 in words is "two hundred thirteen trillion, two hundred twenty-one billion, one hundred forty-three million, four hundred twenty thousand, one hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 167 231 501 1169 1837 3507 5511 12859 38577 5527157203 16581471609 38690100421 60798729233 116070301263 182396187699 425591104631 923035252901 1276773313893 2769105758703 6461246770307 10153387781911 19383740310921 30460163345733 71073714473377 213221143420131