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100922040090 = 23251121356001
BaseRepresentation
bin101110111111101101…
…1000001111100011010
3100122111102121211110200
41131333123001330122
53123142020240330
6114210221323030
710201641121014
oct1357733017432
9318442554420
10100922040090
1139889951503
1217686706476
139694851cb1
144c556b71b4
15295a16ba60
hex177f6c1f1a

100922040090 has 24 divisors (see below), whose sum is σ = 262397304468. Its totient is φ = 26912544000.

The previous prime is 100922040083. The next prime is 100922040113. The reversal of 100922040090 is 90040229001.

It can be written as a sum of positive squares in 2 ways, for example, as 93468998529 + 7453041561 = 305727^2 + 86331^2 .

It is a Curzon number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 560677911 + ... + 560678090.

Almost surely, 2100922040090 is an apocalyptic number.

100922040090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100922040090 is an abundant number, since it is smaller than the sum of its proper divisors (161475264378).

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

100922040090 is a wasteful number, since it uses less digits than its factorization.

100922040090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121356014 (or 1121356011 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

Adding to 100922040090 its reverse (90040229001), we get a palindrome (190962269091).

The spelling of 100922040090 in words is "one hundred billion, nine hundred twenty-two million, forty thousand, ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 1121356001 2242712002 3364068003 5606780005 6728136006 10092204009 11213560010 16820340015 20184408018 33640680030 50461020045 100922040090