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105222115000 = 235421044423
BaseRepresentation
bin110000111111110111…
…0100000111010111000
3101001121002222021022101
41201333232200322320
53210443330140000
6120201031033144
710413334135402
oct1417756407270
9331532867271
10105222115000
1140696160422
121848680b7b4
139bcb699612
14514281db72
152b0c917e6a
hex187fba0eb8

105222115000 has 40 divisors (see below), whose sum is σ = 246535427160. Its totient is φ = 42088844000.

The previous prime is 105222114989. The next prime is 105222115003. The reversal of 105222115000 is 511222501.

105222115000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×1052221150002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105222115003) 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, 10517212 + ... + 10527211.

It is an arithmetic number, because the mean of its divisors is an integer number (6163385679).

Almost surely, 2105222115000 is an apocalyptic number.

105222115000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105222115000 is an abundant number, since it is smaller than the sum of its proper divisors (141313312160).

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

105222115000 is an equidigital number, since it uses as much as digits as its factorization.

105222115000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21044449 (or 21044430 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 105222115000 its reverse (511222501), we get a palindrome (105733337501).

The spelling of 105222115000 in words is "one hundred five billion, two hundred twenty-two million, one hundred fifteen thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 21044423 42088846 84177692 105222115 168355384 210444230 420888460 526110575 841776920 1052221150 2104442300 2630552875 4208884600 5261105750 10522211500 13152764375 21044423000 26305528750 52611057500 105222115000