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1323120103032 = 2337131735636719
BaseRepresentation
bin10011010000010000000…
…110101000111001111000
311200111012111220101012110
4103100100012220321320
5133134222221244112
62451455531412320
7164410102211520
oct23202006507170
94614174811173
101323120103032
1147014a893862
1219451a2b40a0
1397a01018390
1448079dbc680
152463da5b13c
hex134101a8e78

1323120103032 has 128 divisors (see below), whose sum is σ = 4310617651200. Its totient is φ = 328427993088.

The previous prime is 1323120102949. The next prime is 1323120103051. The reversal of 1323120103032 is 2303010213231.

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

It is a congruent number.

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, 17781232 + ... + 17855487.

It is an arithmetic number, because the mean of its divisors is an integer number (33676700400).

Almost surely, 21323120103032 is an apocalyptic number.

1323120103032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1323120103032 is an abundant number, since it is smaller than the sum of its proper divisors (2987497548168).

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

1323120103032 is a wasteful number, since it uses less digits than its factorization.

1323120103032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35636765 (or 35636761 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1323120103032 its reverse (2303010213231), we get a palindrome (3626130316263).

The spelling of 1323120103032 in words is "one trillion, three hundred twenty-three billion, one hundred twenty million, one hundred three thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 17 21 24 26 28 34 39 42 51 52 56 68 78 84 91 102 104 119 136 156 168 182 204 221 238 273 312 357 364 408 442 476 546 663 714 728 884 952 1092 1326 1428 1547 1768 2184 2652 2856 3094 4641 5304 6188 9282 12376 18564 37128 35636719 71273438 106910157 142546876 213820314 249457033 285093752 427640628 463277347 498914066 605824223 748371099 855281256 926554694 997828132 1211648446 1389832041 1496742198 1817472669 1853109388 1995656264 2423296892 2779664082 2993484396 3242941429 3634945338 3706218776 4240769561 4846593784 5559328164 5986968792 6485882858 7269890676 7875714899 8481539122 9728824287 11118656328 12722308683 12971765716 14539781352 15751429798 16963078244 19457648574 23627144697 25444617366 25943531432 31502859596 33926156488 38915297148 47254289394 50889234732 55130004293 63005719192 77830594296 94508578788 101778469464 110260008586 165390012879 189017157576 220520017172 330780025758 441040034344 661560051516 1323120103032