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1000021100112 = 24326944590973
BaseRepresentation
bin11101000110101011110…
…01110000011001010000
310112121020012010102101200
432203111321300121100
5112341020400200422
62043223042431200
7132151312046256
oct16432571603120
93477205112350
101000021100112
11356119927801
12141989062500
13733bc775908
143658917a5d6
151b02d5332ac
hexe8d5e70650

1000021100112 has 30 divisors (see below), whose sum is σ = 2798670162522. Its totient is φ = 333340366656.

The previous prime is 1000021100107. The next prime is 1000021100153. The reversal of 1000021100112 is 2110011200001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 967004756496 + 33016343616 = 983364^2 + 181704^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1000021100094 and 1000021100103.

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 5 ways as a sum of consecutive naturals, for example, 3472295343 + ... + 3472295630.

Almost surely, 21000021100112 is an apocalyptic number.

1000021100112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1000021100112 is an abundant number, since it is smaller than the sum of its proper divisors (1798649062410).

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

1000021100112 is a wasteful number, since it uses less digits than its factorization.

1000021100112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6944590987 (or 6944590978 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1000021100112 its reverse (2110011200001), we get a palindrome (3110032300113).

The spelling of 1000021100112 in words is "one trillion, twenty-one million, one hundred thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 6944590973 13889181946 20833772919 27778363892 41667545838 55556727784 62501318757 83335091676 111113455568 125002637514 166670183352 250005275028 333340366704 500010550056 1000021100112