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10022212321 = 1121924792
BaseRepresentation
bin10010101010101111…
…01101001011100001
3221212110120010200221
421111113231023201
5131011141243241
64334254443041
7503234253622
oct112527551341
927773503627
1010022212321
114283306500
121b38503481
13c39496864
146b10a5a49
153d9ce95d1
hex2555ed2e1

10022212321 has 27 divisors (see below), whose sum is σ = 11650786833. Its totient is φ = 8613550440.

The previous prime is 10022212307. The next prime is 10022212331. The reversal of 10022212321 is 12321222001.

It is a happy number.

The square root of 10022212321 is 100111.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 10022212321 - 29 = 10022211809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10022212295 and 10022212304.

It is not an unprimeable number, because it can be changed into a prime (10022212331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 20922960 + ... + 20923438.

Almost surely, 210022212321 is an apocalyptic number.

10022212321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10022212321 is the 100111-st square number.

10022212321 is the 50056-th centered octagonal number.

It is an amenable number.

10022212321 is a deficient number, since it is larger than the sum of its proper divisors (1628574512).

10022212321 is an frugal number, since it uses more digits than its factorization.

10022212321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Multiplying 10022212321 by its sum of digits (16), we get a square (160355397136 = 4004442).

Adding to 10022212321 its reverse (12321222001), we get a palindrome (22343434322).

The spelling of 10022212321 in words is "ten billion, twenty-two million, two hundred twelve thousand, three hundred twenty-one".

Divisors: 1 11 19 121 209 361 479 2299 3971 5269 9101 43681 57959 100111 172919 229441 1101221 1902109 2523851 4359379 20923199 27762361 47953169 82828201 527484859 911110211 10022212321