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12101316414 = 231117101106787
BaseRepresentation
bin10110100010100101…
…10110111100111110
31011020100202120100020
423101102312330332
5144240414111124
65320445113010
7605611330605
oct132122667476
934210676306
1012101316414
11514a972150
122418858766
1311ab149575
1482b272a3c
154ac5d5379
hex2d14b6f3e

12101316414 has 64 divisors (see below), whose sum is σ = 28233038592. Its totient is φ = 3417152000.

The previous prime is 12101316407. The next prime is 12101316433. The reversal of 12101316414 is 41461310121.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59929 + ... + 166715.

It is an arithmetic number, because the mean of its divisors is an integer number (441141228).

Almost surely, 212101316414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12101316414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14116519296).

12101316414 is an abundant number, since it is smaller than the sum of its proper divisors (16131722178).

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

12101316414 is a wasteful number, since it uses less digits than its factorization.

12101316414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106921.

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 12101316414 its reverse (41461310121), we get a palindrome (53562626535).

The spelling of 12101316414 in words is "twelve billion, one hundred one million, three hundred sixteen thousand, four hundred fourteen".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 101 102 187 202 303 374 561 606 1111 1122 1717 2222 3333 3434 5151 6666 10302 18887 37774 56661 106787 113322 213574 320361 640722 1174657 1815379 2349314 3523971 3630758 5446137 7047942 10785487 10892274 19969169 21570974 32356461 39938338 59907507 64712922 118640357 119815014 183353279 237280714 355921071 366706558 550059837 711842142 1100119674 2016886069 4033772138 6050658207 12101316414