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1022002021100 = 225210220020211
BaseRepresentation
bin11101101111101000001…
…00010100001011101100
310121200222002002220101102
432313310010110023230
5113221030004133400
62101300134102232
7133560106563104
oct16676404241354
93550862086342
101022002021100
11364479552005
121460a24aa978
13754b3677738
1437672592204
151b8b81439d5
hexedf41142ec

1022002021100 has 18 divisors (see below), whose sum is σ = 2217744386004. Its totient is φ = 408800808400.

The previous prime is 1022002021081. The next prime is 1022002021127. The reversal of 1022002021100 is 11202002201.

It is a happy number.

1022002021100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10220020211002 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5110010006 + ... + 5110010205.

Almost surely, 21022002021100 is an apocalyptic number.

1022002021100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022002021100 is an abundant number, since it is smaller than the sum of its proper divisors (1195742364904).

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

1022002021100 is a wasteful number, since it uses less digits than its factorization.

1022002021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10220020225 (or 10220020218 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1022002021100 its reverse (11202002201), we get a palindrome (1033204023301).

The spelling of 1022002021100 in words is "one trillion, twenty-two billion, two million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 10220020211 20440040422 40880080844 51100101055 102200202110 204400404220 255500505275 511001010550 1022002021100