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12132230310 = 232510711311149
BaseRepresentation
bin10110100110010001…
…10010010010100110
31011022111221011020100
423103020302102212
5144321322332220
65323511444530
7606435153564
oct132310622246
934274834210
1012132230310
115166367222
122427086746
1311b4681505
148313dca34
154b018ed90
hex2d32324a6

12132230310 has 96 divisors (see below), whose sum is σ = 32123239200. Its totient is φ = 3176377344.

The previous prime is 12132230309. The next prime is 12132230323. The reversal of 12132230310 is 1303223121.

12132230310 is a `hidden beast` number, since 1 + 2 + 1 + 322 + 30 + 310 = 666.

It is a super-2 number, since 2×121322303102 (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1082616 + ... + 1093764.

It is an arithmetic number, because the mean of its divisors is an integer number (334617075).

Almost surely, 212132230310 is an apocalyptic number.

12132230310 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 12132230310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16061619600).

12132230310 is an abundant number, since it is smaller than the sum of its proper divisors (19991008890).

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

12132230310 is a wasteful number, since it uses less digits than its factorization.

12132230310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11382 (or 11379 counting only the distinct ones).

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

Adding to 12132230310 its reverse (1303223121), we get a palindrome (13435453431).

The spelling of 12132230310 in words is "twelve billion, one hundred thirty-two million, two hundred thirty thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 107 113 214 226 321 339 535 565 642 678 963 1017 1070 1130 1605 1695 1926 2034 3210 3390 4815 5085 9630 10170 11149 12091 22298 24182 33447 36273 55745 60455 66894 72546 100341 108819 111490 120910 167235 181365 200682 217638 334470 362730 501705 544095 1003410 1088190 1192943 1259837 2385886 2519674 3578829 3779511 5964715 6299185 7157658 7559022 10736487 11338533 11929430 12598370 17894145 18897555 21472974 22677066 35788290 37795110 53682435 56692665 107364870 113385330 134802559 269605118 404407677 674012795 808815354 1213223031 1348025590 2022038385 2426446062 4044076770 6066115155 12132230310