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100313212111 = 7178367315091
BaseRepresentation
bin101110101101100100…
…0100010010011001111
3100120221000000011111021
41131123020202103033
53120420140241421
6114025552135011
710150566143230
oct1353310422317
9316830004437
10100313212111
11395a7213a92
1217536837467
1395c8685158
144bd88b3087
1529219a8341
hex175b2224cf

100313212111 has 32 divisors (see below), whose sum is σ = 123040608768. Its totient is φ = 79825858560.

The previous prime is 100313212073. The next prime is 100313212147. The reversal of 100313212111 is 111212313001.

It is a happy number.

It is not a de Polignac number, because 100313212111 - 29 = 100313211599 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100313212171) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6639676 + ... + 6654766.

It is an arithmetic number, because the mean of its divisors is an integer number (3845019024).

Almost surely, 2100313212111 is an apocalyptic number.

100313212111 is a deficient number, since it is larger than the sum of its proper divisors (22727396657).

100313212111 is a wasteful number, since it uses less digits than its factorization.

100313212111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15871.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100313212111 its reverse (111212313001), we get a palindrome (211525525112).

The spelling of 100313212111 in words is "one hundred billion, three hundred thirteen million, two hundred twelve thousand, one hundred eleven".

Divisors: 1 7 17 83 119 581 673 1411 4711 9877 11441 15091 55859 80087 105637 256547 391013 949603 1252553 1795829 6647221 8767871 10156243 21293401 71093701 149053807 172656131 842968169 1208592917 5900777183 14330458873 100313212111