Search a number
-
+
1322021320032 = 25377127708361
BaseRepresentation
bin10011001111001110100…
…111000111010101100000
311200101100221100102021210
4103033032213013111200
5133124444424220112
62451154520550120
7164340630544530
oct23171647072540
94611327312253
101322021320032
1146a73662a936
12194272322340
13978874a261a
1447db40b94c0
15245c7365b3c
hex133ce9c7560

1322021320032 has 96 divisors (see below), whose sum is σ = 4021924161024. Its totient is φ = 372400358400.

The previous prime is 1322021319907. The next prime is 1322021320043. The reversal of 1322021320032 is 2300231202231.

It is a happy number.

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 = 1322021319990 and 1322021320008.

It is a congruent number.

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, 13806469 + ... + 13901892.

It is an arithmetic number, because the mean of its divisors is an integer number (41895043344).

Almost surely, 21322021320032 is an apocalyptic number.

1322021320032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1322021320032 is an abundant number, since it is smaller than the sum of its proper divisors (2699902840992).

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

1322021320032 is a wasteful number, since it uses less digits than its factorization.

1322021320032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27708452 (or 27708444 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1322021320032 its reverse (2300231202231), we get a palindrome (3622252522263).

The spelling of 1322021320032 in words is "one trillion, three hundred twenty-two billion, twenty-one million, three hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 71 84 96 112 142 168 213 224 284 336 426 497 568 672 852 994 1136 1491 1704 1988 2272 2982 3408 3976 5964 6816 7952 11928 15904 23856 47712 27708361 55416722 83125083 110833444 166250166 193958527 221666888 332500332 387917054 443333776 581875581 665000664 775834108 886667552 1163751162 1330001328 1551668216 1967293631 2327502324 2660002656 3103336432 3934587262 4655004648 5901880893 6206672864 7869174524 9310009296 11803761786 13771055417 15738349048 18620018592 23607523572 27542110834 31476698096 41313166251 47215047144 55084221668 62953396192 82626332502 94430094288 110168443336 165252665004 188860188576 220336886672 330505330008 440673773344 661010660016 1322021320032