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12311010210 = 2355971163601
BaseRepresentation
bin10110111011100101…
…10001101110100010
31011202222100010011010
423131302301232202
5200203104311320
65353335401350
7614035601022
oct133562615642
934688303133
1012311010210
115248276204
122476b23256
131212718c35
1484b059a82
154c0c06ae0
hex2ddcb1ba2

12311010210 has 128 divisors (see below), whose sum is σ = 30708357120. Its totient is φ = 3157056000.

The previous prime is 12311010203. The next prime is 12311010221. The reversal of 12311010210 is 1201011321.

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 63 ways as a sum of consecutive naturals, for example, 20483910 + ... + 20484510.

It is an arithmetic number, because the mean of its divisors is an integer number (239909040).

Almost surely, 212311010210 is an apocalyptic number.

12311010210 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 12311010210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15354178560).

12311010210 is an abundant number, since it is smaller than the sum of its proper divisors (18397346910).

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

12311010210 is a wasteful number, since it uses less digits than its factorization.

12311010210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 12311010210 its reverse (1201011321), we get a palindrome (13512021531).

The spelling of 12311010210 in words is "twelve billion, three hundred eleven million, ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 59 71 118 142 163 177 213 295 326 354 355 426 489 590 601 710 815 885 978 1065 1202 1630 1770 1803 2130 2445 3005 3606 4189 4890 6010 8378 9015 9617 11573 12567 18030 19234 20945 23146 25134 28851 34719 35459 41890 42671 48085 57702 57865 62835 69438 70918 85342 96170 97963 106377 115730 125670 128013 144255 173595 177295 195926 212754 213355 256026 288510 293889 347190 354590 426710 489815 531885 587778 640065 682807 979630 1063770 1280130 1365614 1469445 2048421 2517589 2938890 3414035 4096842 5035178 5779817 6828070 6955373 7552767 10242105 11559634 12587945 13910746 15105534 17339451 20484210 20866119 25175890 28899085 34678902 34776865 37763835 41732238 57798170 69553730 75527670 86697255 104330595 173394510 208661190 410367007 820734014 1231101021 2051835035 2462202042 4103670070 6155505105 12311010210