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1320130211232 = 25373880350627
BaseRepresentation
bin10011001101011101111…
…001000110110110100000
311200012111010220010201010
4103031131321012312200
5133112111313224412
62450243123540520
7164243025436020
oct23153571066640
94605433803633
101320130211232
114699560a78a8
12193a24b2a740
1397645762a31
1447c74c87a80
152451631233c
hex1335de46da0

1320130211232 has 96 divisors (see below), whose sum is σ = 3960570926592. Its totient is φ = 377162889984.

The previous prime is 1320130211207. The next prime is 1320130211377. The reversal of 1320130211232 is 2321120310231.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 1320130211199 and 1320130211208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26050303 + ... + 26100929.

It is an arithmetic number, because the mean of its divisors is an integer number (41255947152).

Almost surely, 21320130211232 is an apocalyptic number.

1320130211232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1320130211232 is an abundant number, since it is smaller than the sum of its proper divisors (2640440715360).

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

1320130211232 is a wasteful number, since it uses less digits than its factorization.

1320130211232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89450 (or 89442 counting only the distinct ones).

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

Adding to 1320130211232 its reverse (2321120310231), we get a palindrome (3641250521463).

The spelling of 1320130211232 in words is "one trillion, three hundred twenty billion, one hundred thirty million, two hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 38803 50627 77606 101254 116409 151881 155212 202508 232818 271621 303762 310424 354389 405016 465636 543242 607524 620848 708778 810032 814863 931272 1063167 1086484 1215048 1241696 1417556 1620064 1629726 1862544 2126334 2172968 2430096 2835112 3259452 3725088 4252668 4345936 4860192 5670224 6518904 8505336 8691872 11340448 13037808 17010672 26075616 34021344 1964479481 3928958962 5893438443 7857917924 11786876886 13751356367 15715835848 23573753772 27502712734 31431671696 41254069101 47147507544 55005425468 62863343392 82508138202 94295015088 110010850936 165016276404 188590030176 220021701872 330032552808 440043403744 660065105616 1320130211232