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123002331012 = 22321117147112421
BaseRepresentation
bin111001010001110000…
…0101001111110000100
3102202111020120211101100
41302203200221332010
54003402044043022
6132301222500100
711613053364021
oct1624340517604
9382436524340
10123002331012
114818a677920
121ba09294630
13b7a32068b2
145d4bd98548
1532ed85a1ac
hex1ca3829f84

123002331012 has 144 divisors (see below), whose sum is σ = 359413576704. Its totient is φ = 35054208000.

The previous prime is 123002330977. The next prime is 123002331017. The reversal of 123002331012 is 210133200321.

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 (123002331017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9896562 + ... + 9908982.

It is an arithmetic number, because the mean of its divisors is an integer number (2495927616).

Almost surely, 2123002331012 is an apocalyptic number.

123002331012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123002331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179706788352).

123002331012 is an abundant number, since it is smaller than the sum of its proper divisors (236411245692).

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

123002331012 is a wasteful number, since it uses less digits than its factorization.

123002331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930 (or 13925 counting only the distinct ones).

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

Adding to 123002331012 its reverse (210133200321), we get a palindrome (333135531333).

The spelling of 123002331012 in words is "one hundred twenty-three billion, two million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1471 1683 2244 2942 3366 4413 5884 6732 8826 12421 13239 16181 17652 24842 25007 26478 32362 37263 48543 49684 50014 52956 64724 74526 75021 97086 100028 111789 136631 145629 149052 150042 194172 211157 223578 225063 273262 275077 291258 300084 409893 422314 447156 450126 546524 550154 582516 633471 819786 825231 844628 900252 1100308 1229679 1266942 1639572 1650462 1900413 2322727 2459358 2475693 2533884 3300924 3800826 4645454 4918716 4951386 6968181 7601652 9290908 9902772 13936362 18271291 20904543 27872724 36542582 41809086 54813873 73085164 83618172 109627746 164441619 200984201 219255492 310611947 328883238 401968402 602952603 621223894 657766476 803936804 931835841 1205905206 1242447788 1808857809 1863671682 2411810412 2795507523 3416731417 3617715618 3727343364 5591015046 6833462834 7235431236 10250194251 11182030092 13666925668 20500388502 30750582753 41000777004 61501165506 123002331012