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12321010431024 = 2431729911571531
BaseRepresentation
bin1011001101001011010101…
…1100110011010000110000
31121121212200101211121120120
42303102311130303100300
53103331412132243044
642112105525410240
72411110060445661
oct263226534632060
947555611747516
1012321010431024
113a203471a8989
12146ba89569980
136b4b353460a9
143084a92ab368
1516576eddc519
hexb34b5733430

12321010431024 has 160 divisors (see below), whose sum is σ = 34902041840640. Its totient is φ = 3728021606400.

The previous prime is 12321010431001. The next prime is 12321010431043. The reversal of 12321010431024 is 42013401012321.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 12321010430985 and 12321010431003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21272139 + ... + 21843669.

It is an arithmetic number, because the mean of its divisors is an integer number (218137761504).

Almost surely, 212321010431024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321010431024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17451020920320).

12321010431024 is an abundant number, since it is smaller than the sum of its proper divisors (22581031409616).

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

12321010431024 is a wasteful number, since it uses less digits than its factorization.

12321010431024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572499 (or 572493 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 12321010431024 its reverse (42013401012321), we get a palindrome (54334411443345).

The spelling of 12321010431024 in words is "twelve trillion, three hundred twenty-one billion, ten million, four hundred thirty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 34 48 51 58 68 87 102 116 136 174 204 232 272 348 408 464 493 696 816 911 986 1392 1479 1822 1972 2733 2958 3644 3944 5466 5916 7288 7888 10932 11832 14576 15487 21864 23664 26419 30974 43728 46461 52838 61948 79257 92922 105676 123896 158514 185844 211352 247792 317028 371688 422704 449123 571531 634056 743376 898246 1143062 1268112 1347369 1714593 1796492 2286124 2694738 3429186 3592984 4572248 5389476 6858372 7185968 9144496 9716027 10778952 13716744 16574399 19432054 21557904 27433488 29148081 33148798 38864108 49723197 58296162 66297596 77728216 99446394 116592324 132595192 155456432 198892788 233184648 265190384 281764783 397785576 466369296 520664741 563529566 795571152 845294349 1041329482 1127059132 1561994223 1690588698 2082658964 2254118264 3123988446 3381177396 4165317928 4508236528 6247976892 6762354792 8330635856 8851300597 12495953784 13524709584 15099277489 17702601194 24991907568 26553901791 30198554978 35405202388 45297832467 53107803582 60397109956 70810404776 90595664934 106215607164 120794219912 141620809552 181191329868 212431214328 241588439824 256687717313 362382659736 424862428656 513375434626 724765319472 770063151939 1026750869252 1540126303878 2053501738504 3080252607756 4107003477008 6160505215512 12321010431024