Search a number
-
+
10042320131132 = 22171517369132721
BaseRepresentation
bin1001001000100010100011…
…1011001001010000111100
31022120000222120000122220112
42102020220323021100330
52304013132423144012
633205213404205152
72054351024462642
oct222105073112074
938500876018815
1010042320131132
113221a18a02a03
1211623288397b8
1357aca9ab0c33
1426a09d8c9192
15126355476122
hex92228ec943c

10042320131132 has 48 divisors (see below), whose sum is σ = 18733742153280. Its totient is φ = 4693828608000.

The previous prime is 10042320131027. The next prime is 10042320131167. The reversal of 10042320131132 is 23113102324001.

It is a super-2 number, since 2×100423201311322 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10042320131098 and 10042320131107.

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, 75598532 + ... + 75731252.

It is an arithmetic number, because the mean of its divisors is an integer number (390286294860).

Almost surely, 210042320131132 is an apocalyptic number.

It is an amenable number.

10042320131132 is a deficient number, since it is larger than the sum of its proper divisors (8691422022148).

10042320131132 is a wasteful number, since it uses less digits than its factorization.

10042320131132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140262 (or 140260 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 10042320131132 its reverse (23113102324001), we get a palindrome (33155422455133).

The spelling of 10042320131132 in words is "ten trillion, forty-two billion, three hundred twenty million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 4 17 34 68 151 302 604 2567 5134 7369 10268 14738 29476 125273 132721 250546 265442 501092 530884 1112719 2225438 2256257 4450876 4512514 9025028 18916223 20040871 37832446 40081742 75664892 80163484 340694807 681389614 978021049 1362779228 1956042098 3912084196 16626357833 33252715666 66505431332 147681178399 295362356798 590724713596 2510580032783 5021160065566 10042320131132