Search a number
-
+
12321023312010 = 23571372791153443
BaseRepresentation
bin1011001101001011011000…
…1101111100000010001010
31121121212201022002000222010
42303102312031330002022
53103331423431441020
642112111105440350
72411110305104610
oct263226615740212
947555638060863
1012321023312010
113a203534a6626
12146ba919400b6
136b4b37c0608a
143084aaca16b0
151657710d3de0
hexb34b637c08a

12321023312010 has 128 divisors (see below), whose sum is σ = 34053903028224. Its totient is φ = 2794657559040.

The previous prime is 12321023311973. The next prime is 12321023312011. The reversal of 12321023312010 is 1021332012321.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (12321023312011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80220349 + ... + 80373791.

It is an arithmetic number, because the mean of its divisors is an integer number (266046117408).

Almost surely, 212321023312010 is an apocalyptic number.

12321023312010 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 12321023312010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17026951514112).

12321023312010 is an abundant number, since it is smaller than the sum of its proper divisors (21732879716214).

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

12321023312010 is a wasteful number, since it uses less digits than its factorization.

12321023312010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156388.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 12321023312010 its reverse (1021332012321), we get a palindrome (13342355324331).

The spelling of 12321023312010 in words is "twelve trillion, three hundred twenty-one billion, twenty-three million, three hundred twelve thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 137 210 274 411 685 822 959 1370 1918 2055 2791 2877 4110 4795 5582 5754 8373 9590 13955 14385 16746 19537 27910 28770 39074 41865 58611 83730 97685 117222 153443 195370 293055 306886 382367 460329 586110 764734 767215 920658 1074101 1147101 1534430 1911835 2148202 2294202 2301645 2676569 3222303 3823670 4603290 5353138 5370505 5735505 6444606 8029707 10741010 11471010 13382845 16059414 16111515 21021691 26765690 32223030 40148535 42043382 63065073 80297070 105108455 126130146 147151837 210216910 294303674 315325365 428259413 441455511 630650730 735759185 856518826 882911022 1284778239 1471518370 2141297065 2207277555 2569556478 2997815891 4282594130 4414555110 5995631782 6423891195 8993447673 12847782390 14989079455 17986895346 29978158910 44967238365 58671539581 89934476730 117343079162 176014618743 293357697905 352029237486 410700777067 586715395810 821401554134 880073093715 1232102331201 1760146187430 2053503885335 2464204662402 4107007770670 6160511656005 12321023312010