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100111112001 = 3327481134923
BaseRepresentation
bin101110100111100010…
…1100101011101000001
3100120101220201102021000
41131033011211131001
53120011421041001
6113553532322213
710142563261125
oct1351705453501
9316356642230
10100111112001
11395031271aa
121749b013369
139595843ca4
144bb9b05585
15290dd86a86
hex174f165741

100111112001 has 16 divisors (see below), whose sum is σ = 148319254720. Its totient is φ = 66737818080.

The previous prime is 100111111993. The next prime is 100111112009. The reversal of 100111112001 is 100211111001.

It is an interprime number because it is at equal distance from previous prime (100111111993) and next prime (100111112009).

It is not a de Polignac number, because 100111112001 - 23 = 100111111993 is a prime.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100111112009) 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 15 ways as a sum of consecutive naturals, for example, 674526 + ... + 809448.

It is an arithmetic number, because the mean of its divisors is an integer number (9269953420).

Almost surely, 2100111112001 is an apocalyptic number.

It is an amenable number.

100111112001 is a deficient number, since it is larger than the sum of its proper divisors (48208142719).

100111112001 is a wasteful number, since it uses less digits than its factorization.

100111112001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162413 (or 162407 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100111112001 its reverse (100211111001), we get a palindrome (200322223002).

The spelling of 100111112001 in words is "one hundred billion, one hundred eleven million, one hundred twelve thousand, one".

Divisors: 1 3 9 27 27481 82443 134923 247329 404769 741987 1214307 3642921 3707818963 11123456889 33370370667 100111112001