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12312311310 = 23351310732783
BaseRepresentation
bin10110111011101111…
…01111011000001110
31011210001210012221000
423131313233120032
5200203422430220
65353423321130
7614052630225
oct133567573016
934701705830
1012312311310
115248a847a2
1224774501a6
131212a83210
1484b2b7cbc
154c0db2390
hex2dddef60e

12312311310 has 128 divisors (see below), whose sum is σ = 35689973760. Its totient is φ = 3002306688.

The previous prime is 12312311299. The next prime is 12312311329. The reversal of 12312311310 is 1311321321.

12312311310 is a `hidden beast` number, since 12 + 31 + 2 + 311 + 310 = 666.

It is a super-2 number, since 2×123123113102 (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 63 ways as a sum of consecutive naturals, for example, 359179 + ... + 391961.

It is an arithmetic number, because the mean of its divisors is an integer number (278827920).

Almost surely, 212312311310 is an apocalyptic number.

12312311310 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 12312311310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17844986880).

12312311310 is an abundant number, since it is smaller than the sum of its proper divisors (23377662450).

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

12312311310 is a wasteful number, since it uses less digits than its factorization.

12312311310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32919 (or 32913 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 12312311310 its reverse (1311321321), we get a palindrome (13623632631).

The spelling of 12312311310 in words is "twelve billion, three hundred twelve million, three hundred eleven thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 107 117 130 135 195 214 234 270 321 351 390 535 585 642 702 963 1070 1170 1391 1605 1755 1926 2782 2889 3210 3510 4173 4815 5778 6955 8346 9630 12519 13910 14445 20865 25038 28890 32783 37557 41730 62595 65566 75114 98349 125190 163915 187785 196698 295047 327830 375570 426179 491745 590094 852358 885141 983490 1278537 1475235 1770282 2130895 2557074 2950470 3507781 3835611 4261790 4425705 6392685 7015562 7671222 8851410 10523343 11506833 12785370 17538905 19178055 21046686 23013666 31570029 35077810 38356110 45601153 52616715 57534165 63140058 91202306 94710087 105233430 115068330 136803459 157850145 189420174 228005765 273606918 315700290 410410377 456011530 473550435 684017295 820820754 947100870 1231231131 1368034590 2052051885 2462462262 4104103770 6156155655 12312311310