Search a number
-
+
210101222101012 = 221131931671019901
BaseRepresentation
bin101111110001011000000000…
…101101011101000000010100
31000112220110222102002211001221
4233301120000231131000110
5210014244300324213022
62022503100255300124
762153212100435254
oct5761300055350024
91015813872084057
10210101222101012
1160a43478604000
121b69303621a644
1390305ca188b18
1439c4d4c217964
151945335670cc7
hexbf1600b5d014

210101222101012 has 384 divisors, whose sum is σ = 450454673571840. Its totient is φ = 85386312000000.

The previous prime is 210101222100971. The next prime is 210101222101033.

210101222101012 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21220197262 + ... + 21220207162.

It is an arithmetic number, because the mean of its divisors is an integer number (1173059045760).

Almost surely, 2210101222101012 is an apocalyptic number.

210101222101012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210101222101012 is an abundant number, since it is smaller than the sum of its proper divisors (240353451470828).

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

210101222101012 is a wasteful number, since it uses less digits than its factorization.

210101222101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10156 (or 10132 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

The spelling of 210101222101012 in words is "two hundred ten trillion, one hundred one billion, two hundred twenty-two million, one hundred one thousand, twelve".