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12111001007 = 78946741627
BaseRepresentation
bin10110100011101111…
…10011010110101111
31011021000222121002212
423101313303112233
5144300404013012
65321432441035
7606056544560
oct132167632657
934230877085
1012111001007
115155387346
12241bb4917b
1311b015a6b1
1482c674167
154ad399b22
hex2d1df35af

12111001007 has 16 divisors (see below), whose sum is σ = 14026970880. Its totient is φ = 10241994048.

The previous prime is 12111000989. The next prime is 12111001039. The reversal of 12111001007 is 70010011121.

It is a cyclic number.

It is not a de Polignac number, because 12111001007 - 28 = 12111000751 is a prime.

It is a super-3 number, since 3×121110010073 (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12111000982 and 12111001000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12111001207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 270128 + ... + 311754.

It is an arithmetic number, because the mean of its divisors is an integer number (876685680).

Almost surely, 212111001007 is an apocalyptic number.

12111001007 is a deficient number, since it is larger than the sum of its proper divisors (1915969873).

12111001007 is an equidigital number, since it uses as much as digits as its factorization.

12111001007 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42190.

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 12111001007 its reverse (70010011121), we get a palindrome (82121012128).

The spelling of 12111001007 in words is "twelve billion, one hundred eleven million, one thousand, seven".

Divisors: 1 7 89 467 623 3269 41563 41627 290941 291389 3704803 19439809 25933621 136078663 1730143001 12111001007