Search a number
-
+
100012012011102 = 2331714717523317
BaseRepresentation
bin10110101111010111011100…
…011100101111111001011110
3111010010001111002000220202210
4112233113130130233321132
5101102044100033323402
6552412514541501250
730031425614432622
oct2657273434577136
9433101432026683
10100012012011102
1129959946521984
12b272bb8571826
1343a6127924819
141a9a870279182
15b8681e11406c
hex5af5dc72fe5e

100012012011102 has 32 divisors (see below), whose sum is σ = 206479328292864. Its totient is φ = 32261483671200.

The previous prime is 100012012011011. The next prime is 100012012011103. The reversal of 100012012011102 is 201110210210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012012011103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9531948 + ... + 17055264.

It is an arithmetic number, because the mean of its divisors is an integer number (6452479009152).

Almost surely, 2100012012011102 is an apocalyptic number.

100012012011102 is an abundant number, since it is smaller than the sum of its proper divisors (106467316281762).

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

100012012011102 is a wasteful number, since it uses less digits than its factorization.

100012012011102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7594824.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100012012011102 its reverse (201110210210001), we get a palindrome (301122222221103).

The spelling of 100012012011102 in words is "one hundred trillion, twelve billion, twelve million, eleven thousand, one hundred two".

Divisors: 1 2 3 6 31 62 93 186 71471 142942 214413 428826 2215601 4431202 6646803 7523317 13293606 15046634 22569951 45139902 233222827 466445654 699668481 1399336962 537698989307 1075397978614 1613096967921 3226193935842 16668668668517 33337337337034 50006006005551 100012012011102