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12113101014 = 2373123339929
BaseRepresentation
bin10110100011111111…
…10100000011010110
31011021011221021202220
423101333310003112
5144301423213024
65321545443210
7606113442210
oct132177640326
934234837686
1012113101014
115156591093
1224207a0506
1311b07144c1
1482ca5d5b0
154ad661e79
hex2d1ff40d6

12113101014 has 64 divisors (see below), whose sum is σ = 28703600640. Its totient is φ = 3334786560.

The previous prime is 12113100977. The next prime is 12113101037. The reversal of 12113101014 is 41010131121.

It is a junction number, because it is equal to n+sod(n) for n = 12113100984 and 12113101002.

It is a congruent number.

It is an unprimeable number.

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, 283402 + ... + 323330.

It is an arithmetic number, because the mean of its divisors is an integer number (448493760).

Almost surely, 212113101014 is an apocalyptic number.

12113101014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12113101014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14351800320).

12113101014 is an abundant number, since it is smaller than the sum of its proper divisors (16590499626).

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

12113101014 is a wasteful number, since it uses less digits than its factorization.

12113101014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40205.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 12113101014 its reverse (41010131121), we get a palindrome (53123232135).

The spelling of 12113101014 in words is "twelve billion, one hundred thirteen million, one hundred one thousand, fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 186 217 233 434 466 651 699 1302 1398 1631 3262 4893 7223 9786 14446 21669 39929 43338 50561 79858 101122 119787 151683 239574 279503 303366 559006 838509 1237799 1677018 2475598 3713397 7426794 8664593 9303457 17329186 18606914 25993779 27910371 51987558 55820742 65124199 130248398 195372597 288407167 390745194 576814334 865221501 1730443002 2018850169 4037700338 6056550507 12113101014