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100100111111110 = 25111867487413503
BaseRepresentation
bin10110110000101001011111…
…100100001001001111000110
3111010102110212212000220022201
4112300221133210021033012
5101110020011421023420
6552521204535145114
730040665032430655
oct2660513744111706
9433373785026281
10100100111111110
1129993245132740
12b2880a481519a
1343b15279896b6
141aa0c2a91719c
15b88c7865610a
hex5b0a5f9093c6

100100111111110 has 32 divisors (see below), whose sum is σ = 196665499901952. Its totient is φ = 36380543789280.

The previous prime is 100100111111069. The next prime is 100100111111113. The reversal of 100100111111110 is 11111111001001.

It is a happy number.

100100111111110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100100111111113) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 243501382 + ... + 243912121.

It is an arithmetic number, because the mean of its divisors is an integer number (6145796871936).

Almost surely, 2100100111111110 is an apocalyptic number.

100100111111110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100100111111110 is a deficient number, since it is larger than the sum of its proper divisors (96565388790842).

100100111111110 is a wasteful number, since it uses less digits than its factorization.

100100111111110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487415388.

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 100100111111110 its reverse (11111111001001), we get a palindrome (111211222112111).

The spelling of 100100111111110 in words is "one hundred trillion, one hundred billion, one hundred eleven million, one hundred eleven thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 55 110 1867 3734 9335 18670 20537 41074 102685 205370 487413503 974827006 2437067515 4874135030 5361548533 10723097066 26807742665 53615485330 910001010101 1820002020202 4550005050505 9100010101010 10010011111111 20020022222222 50050055555555 100100111111110