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100022220000 = 2532541732687
BaseRepresentation
bin101110100100111001…
…0011111010011100000
3100120011201110020100200
41131021302133103200
53114321142020000
6113541035145200
710140433561563
oct1351162372340
9316151406320
10100022220000
1139467a3233a
12174752a5200
1395802bc481
144babda64da
152906178500
hex1749c9f4e0

100022220000 has 360 divisors, whose sum is σ = 376353353376. Its totient is φ = 25102848000.

The previous prime is 100022219971. The next prime is 100022220043. The reversal of 100022220000 is 22220001.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3043657 + ... + 3076343.

Almost surely, 2100022220000 is an apocalyptic number.

100022220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100022220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188176676688).

100022220000 is an abundant number, since it is smaller than the sum of its proper divisors (276331133376).

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

100022220000 is a wasteful number, since it uses less digits than its factorization.

100022220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32740 (or 32714 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

Adding to 100022220000 its reverse (22220001), we get a palindrome (100044440001).

Subtracting from 100022220000 its reverse (22220001), we obtain a palindrome (99999999999).

The spelling of 100022220000 in words is "one hundred billion, twenty-two million, two hundred twenty thousand".