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12332133101310 = 23511371010002711
BaseRepresentation
bin1011001101110100110001…
…1010011010111011111110
31121122221101120002210210220
42303131030122122323332
53104022202033220220
642121145335042210
72411652516544101
oct263351432327376
947587346083726
1012332133101310
113a25034701780
121472072510366
136b5bb87c0bb9
14308c42590738
15165bc160d540
hexb374c69aefe

12332133101310 has 64 divisors (see below), whose sum is σ = 33160409040384. Its totient is φ = 2908807804800.

The previous prime is 12332133101269. The next prime is 12332133101359. The reversal of 12332133101310 is 1310133123321.

It is a super-2 number, since 2×123321331013102 (a number of 27 digits) contains 22 as substring.

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, 504989146 + ... + 505013565.

It is an arithmetic number, because the mean of its divisors is an integer number (518131391256).

Almost surely, 212332133101310 is an apocalyptic number.

12332133101310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12332133101310 is an abundant number, since it is smaller than the sum of its proper divisors (20828275939074).

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

12332133101310 is a wasteful number, since it uses less digits than its factorization.

12332133101310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1010002769.

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 12332133101310 its reverse (1310133123321), we get a palindrome (13642266224631).

The spelling of 12332133101310 in words is "twelve trillion, three hundred thirty-two billion, one hundred thirty-three million, one hundred one thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 12210 1010002711 2020005422 3030008133 5050013555 6060016266 10100027110 11110029821 15150040665 22220059642 30300081330 33330089463 37370100307 55550149105 66660178926 74740200614 111100298210 112110300921 166650447315 186850501535 224220601842 333300894630 373701003070 411071103377 560551504605 822142206754 1121103009210 1233213310131 2055355516885 2466426620262 4110711033770 6166066550655 12332133101310