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12132323010 = 23251011518839
BaseRepresentation
bin10110100110010010…
…01000111011000010
31011022112002212101200
423103021020323002
5144321333314020
65323513442030
7606436021053
oct132311107302
934275085350
1012132323010
11516641a935
122427110316
1311b46b4772
1483142472a
154b01ac590
hex2d3248ec2

12132323010 has 96 divisors (see below), whose sum is σ = 32070954240. Its totient is φ = 3181680000.

The previous prime is 12132323009. The next prime is 12132323017. The reversal of 12132323010 is 1032323121.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (12132323017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1368171 + ... + 1377009.

It is an arithmetic number, because the mean of its divisors is an integer number (334072440).

Almost surely, 212132323010 is an apocalyptic number.

12132323010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12132323010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16035477120).

12132323010 is an abundant number, since it is smaller than the sum of its proper divisors (19938631230).

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

12132323010 is a wasteful number, since it uses less digits than its factorization.

12132323010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9101 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 12132323010 its reverse (1032323121), we get a palindrome (13164646131).

The spelling of 12132323010 in words is "twelve billion, one hundred thirty-two million, three hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 151 202 302 303 453 505 606 755 906 909 1010 1359 1510 1515 1818 2265 2718 3030 4530 4545 6795 8839 9090 13590 15251 17678 26517 30502 44195 45753 53034 76255 79551 88390 91506 132585 137259 152510 159102 228765 265170 274518 397755 457530 686295 795510 892739 1334689 1372590 1785478 2669378 2678217 4004067 4463695 5356434 6673445 8008134 8034651 8927390 12012201 13346890 13391085 16069302 20020335 24024402 26782170 40040670 40173255 60061005 80346510 120122010 134803589 269607178 404410767 674017945 808821534 1213232301 1348035890 2022053835 2426464602 4044107670 6066161505 12132323010