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12013431420 = 22351073175903
BaseRepresentation
bin10110011000000111…
…00110101001111100
31011000020101112210110
423030003212221330
5144100414301140
65304025310020
7603463324254
oct131403465174
934006345713
1012013431420
1151052a5921
1223b3335310
131195b88203
1481d716964
154a4a25380
hex2cc0e6a7c

12013431420 has 96 divisors (see below), whose sum is σ = 34064851968. Its totient is φ = 3163094272.

The previous prime is 12013431407. The next prime is 12013431427. The reversal of 12013431420 is 2413431021.

12013431420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12013431427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2032189 + ... + 2038091.

It is an arithmetic number, because the mean of its divisors is an integer number (354842208).

Almost surely, 212013431420 is an apocalyptic number.

12013431420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12013431420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17032425984).

12013431420 is an abundant number, since it is smaller than the sum of its proper divisors (22051420548).

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

12013431420 is a wasteful number, since it uses less digits than its factorization.

12013431420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6337 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 12013431420 its reverse (2413431021), we get a palindrome (14426862441).

The spelling of 12013431420 in words is "twelve billion, thirteen million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 107 214 317 321 428 535 634 642 951 1070 1268 1284 1585 1605 1902 2140 3170 3210 3804 4755 5903 6340 6420 9510 11806 17709 19020 23612 29515 33919 35418 59030 67838 70836 88545 101757 118060 135676 169595 177090 203514 339190 354180 407028 508785 631621 678380 1017570 1263242 1871251 1894863 2035140 2526484 3158105 3742502 3789726 5613753 6316210 7485004 7579452 9356255 9474315 11227506 12632420 18712510 18948630 22455012 28068765 37425020 37897260 56137530 112275060 200223857 400447714 600671571 800895428 1001119285 1201343142 2002238570 2402686284 3003357855 4004477140 6006715710 12013431420