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12113432320 = 285111734973
BaseRepresentation
bin10110100100000010…
…00100111100000000
31011021012120010020111
423102001010330000
5144302014313240
65322000521104
7606116322133
oct132201047400
934235503214
1012113432320
115156797aa0
122420920194
1311b07cc242
1482cb0821a
154ad6ca1ea
hex2d2044f00

12113432320 has 144 divisors (see below), whose sum is σ = 31842592992. Its totient is φ = 4378542080.

The previous prime is 12113432293. The next prime is 12113432323. The reversal of 12113432320 is 2323431121.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12113432291 and 12113432300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12113432323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2433354 + ... + 2438326.

It is an arithmetic number, because the mean of its divisors is an integer number (221129118).

Almost surely, 212113432320 is an apocalyptic number.

12113432320 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 12113432320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15921296496).

12113432320 is an abundant number, since it is smaller than the sum of its proper divisors (19729160672).

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

12113432320 is a wasteful number, since it uses less digits than its factorization.

12113432320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5178 (or 5164 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 12113432320 its reverse (2323431121), we get a palindrome (14436863441).

The spelling of 12113432320 in words is "twelve billion, one hundred thirteen million, four hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 173 176 220 256 320 346 352 440 640 692 704 865 880 1280 1384 1408 1730 1760 1903 2768 2816 3460 3520 3806 4973 5536 6920 7040 7612 9515 9946 11072 13840 14080 15224 19030 19892 22144 24865 27680 30448 38060 39784 44288 49730 54703 55360 60896 76120 79568 99460 109406 110720 121792 152240 159136 198920 218812 221440 243584 273515 304480 318272 397840 437624 487168 547030 608960 636544 795680 860329 875248 1094060 1217920 1273088 1591360 1720658 1750496 2188120 2435840 3182720 3441316 3500992 4301645 4376240 6365440 6882632 7001984 8603290 8752480 9463619 13765264 14003968 17206580 17504960 18927238 27530528 34413160 35009920 37854476 47318095 55061056 68826320 70019840 75708952 94636190 110122112 137652640 151417904 189272380 220244224 275305280 302835808 378544760 550610560 605671616 757089520 1101221120 1211343232 1514179040 2422686464 3028358080 6056716160 12113432320