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222121201010000 = 245422212120101
BaseRepresentation
bin110010100000010010011111…
…010010001000010101010000
31002010110120122102000122200112
4302200102133102020111100
5213103213204424310000
62104225023202540452
764533504266412665
oct6240223722102520
91063416572018615
10222121201010000
1164858088311936
1220ab46b0967728
1396c2c29a7a436
143cbca1b38ba6c
151aa2d37543235
hexca049f488550

222121201010000 has 50 divisors (see below), whose sum is σ = 537777639789522. Its totient is φ = 88848480400000.

The previous prime is 222121201009993. The next prime is 222121201010003. The reversal of 222121201010000 is 10102121222.

It can be written as a sum of positive squares in 5 ways, for example, as 131397709597456 + 90723491412544 = 11462884^2 + 9524888^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222121201010003) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11106050051 + ... + 11106070050.

Almost surely, 2222121201010000 is an apocalyptic number.

222121201010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222121201010000 is an abundant number, since it is smaller than the sum of its proper divisors (315656438779522).

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

222121201010000 is an equidigital number, since it uses as much as digits as its factorization.

222121201010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22212120129 (or 22212120108 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 222121201010000 its reverse (10102121222), we get a palindrome (222131303131222).

The spelling of 222121201010000 in words is "two hundred twenty-two trillion, one hundred twenty-one billion, two hundred one million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 22212120101 44424240202 88848480404 111060600505 177696960808 222121201010 355393921616 444242402020 555303002525 888484804040 1110606005050 1776969608080 2221212010100 2776515012625 4442424020200 5553030025250 8884848040400 11106060050500 13882575063125 22212120101000 27765150126250 44424240202000 55530300252500 111060600505000 222121201010000