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1323213053040 = 243251949942943
BaseRepresentation
bin10011010000010101101…
…001001101110001110000
311200111102222210201122100
4103100111221031301300
5133134420020144130
62451513051540400
7164412311242014
oct23202551156160
94614388721570
101323213053040
114701982aa54a
1219454545a700
1397a17360c98
1448088496544
1524646cbbc60
hex13415a4dc70

1323213053040 has 120 divisors (see below), whose sum is σ = 4446075254400. Its totient is φ = 352675395072.

The previous prime is 1323213053027. The next prime is 1323213053053. The reversal of 1323213053040 is 403503123231.

1323213053040 is a `hidden beast` number, since 1 + 3 + 2 + 321 + 30 + 5 + 304 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1323213053027) and next prime (1323213053053).

It is a tau number, because it is divible by the number of its divisors (120).

It is a junction number, because it is equal to n+sod(n) for n = 1323213052995 and 1323213053013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 931809 + ... + 1874751.

It is an arithmetic number, because the mean of its divisors is an integer number (37050627120).

Almost surely, 21323213053040 is an apocalyptic number.

1323213053040 is a gapful number since it is divisible by the number (10) 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 1323213053040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2223037627200).

1323213053040 is an abundant number, since it is smaller than the sum of its proper divisors (3122862201360).

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

1323213053040 is a wasteful number, since it uses less digits than its factorization.

1323213053040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944911 (or 944902 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 1323213053040 its reverse (403503123231), we get a palindrome (1726716176271).

The spelling of 1323213053040 in words is "one trillion, three hundred twenty-three billion, two hundred thirteen million, fifty-three thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1949 3898 5847 7796 9745 11694 15592 17541 19490 23388 29235 31184 35082 38980 46776 58470 70164 77960 87705 93552 116940 140328 155920 175410 233880 280656 350820 467760 701640 942943 1403280 1885886 2828829 3771772 4714715 5657658 7543544 8486487 9429430 11315316 14144145 15087088 16972974 18858860 22630632 28288290 33945948 37717720 42432435 45261264 56576580 67891896 75435440 84864870 113153160 135783792 169729740 226306320 339459480 678918960 1837795907 3675591814 5513387721 7351183628 9188979535 11026775442 14702367256 16540163163 18377959070 22053550884 27566938605 29404734512 33080326326 36755918140 44107101768 55133877210 66160652652 73511836280 82700815815 88214203536 110267754420 132321305304 147023672560 165401631630 220535508840 264642610608 330803263260 441071017680 661606526520 1323213053040