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1323001312140 = 2235232371126553
BaseRepresentation
bin10011010000001001000…
…001011111001110001100
311200110220020101011201210
4103100021001133032030
5133134001313442030
62451440045334420
7164404130414424
oct23201101371614
94613806334653
101323001312140
11470099828472
121944a6567410
13979b2525901
14480682d9484
15246333e3bb0
hex1340905f38c

1323001312140 has 144 divisors (see below), whose sum is σ = 3977132167008. Its totient is φ = 328340339712.

The previous prime is 1323001312123. The next prime is 1323001312141. The reversal of 1323001312140 is 412131003231.

It is a super-2 number, since 2×13230013121402 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1323001312141) 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, 611104 + ... + 1737656.

It is an arithmetic number, because the mean of its divisors is an integer number (27618973382).

Almost surely, 21323001312140 is an apocalyptic number.

1323001312140 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 1323001312140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1988566083504).

1323001312140 is an abundant number, since it is smaller than the sum of its proper divisors (2654130854868).

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

1323001312140 is a wasteful number, since it uses less digits than its factorization.

1323001312140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126648 (or 1126623 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1323001312140 its reverse (412131003231), we get a palindrome (1735132315371).

The spelling of 1323001312140 in words is "one trillion, three hundred twenty-three billion, one million, three hundred twelve thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 37 46 60 69 74 92 111 115 138 148 185 222 230 276 345 370 444 460 529 555 690 740 851 1058 1110 1380 1587 1702 2116 2220 2553 2645 3174 3404 4255 5106 5290 6348 7935 8510 10212 10580 12765 15870 17020 19573 25530 31740 39146 51060 58719 78292 97865 117438 195730 234876 293595 391460 587190 1126553 1174380 2253106 3379659 4506212 5632765 6759318 11265530 13518636 16898295 22531060 25910719 33796590 41682461 51821438 67593180 77732157 83364922 103642876 125047383 129553595 155464314 166729844 208412305 250094766 259107190 310928628 388660785 416824610 500189532 518214380 595946537 625236915 777321570 833649220 958696603 1191893074 1250473830 1554643140 1787839611 1917393206 2383786148 2500947660 2876089809 2979732685 3575679222 3834786412 4793483015 5752179618 5959465370 7151358444 8939198055 9586966030 11504359236 11918930740 14380449045 17878396110 19173932060 22050021869 28760898090 35756792220 44100043738 57521796180 66150065607 88200087476 110250109345 132300131214 220500218690 264600262428 330750328035 441000437380 661500656070 1323001312140