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100023103002996 = 22322778419527861
BaseRepresentation
bin10110101111100001110001…
…100001100001100101110100
3111010011010010000200200102100
4112233201301201201211310
5101102234303332043441
6552421551300142100
730032300510342145
oct2657416141414564
9433133100620370
10100023103002996
1129963618059288
12b275192997930
1343a71a465a714
141a9b203273acc
15b86c6cb78cb6
hex5af871861974

100023103002996 has 18 divisors (see below), whose sum is σ = 252836177035442. Its totient is φ = 33341034334320.

The previous prime is 100023103002917. The next prime is 100023103003037. The reversal of 100023103002996 is 699200301320001.

It is a happy number.

100023103002996 is a `hidden beast` number, since 10 + 0 + 0 + 2 + 310 + 300 + 29 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68759751622500 + 31263351380496 = 8292150^2 + 5591364^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×1000231030029962 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 2778419527861 = 100023103002996 / (1 + 0 + 0 + 0 + 2 + 3 + 1 + 0 + 3 + 0 + 0 + 2 + 9 + 9 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 100023103002996.

It is a congruent 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 5 ways as a sum of consecutive naturals, for example, 1389209763895 + ... + 1389209763966.

Almost surely, 2100023103002996 is an apocalyptic number.

It is an amenable number.

100023103002996 is an abundant number, since it is smaller than the sum of its proper divisors (152813074032446).

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

100023103002996 is a wasteful number, since it uses less digits than its factorization.

100023103002996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778419527871 (or 2778419527866 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

Adding to 100023103002996 its reverse (699200301320001), we get a palindrome (799223404322997).

The spelling of 100023103002996 in words is "one hundred trillion, twenty-three billion, one hundred three million, two thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 2778419527861 5556839055722 8335258583583 11113678111444 16670517167166 25005775750749 33341034334332 50011551501498 100023103002996