Search a number
-
+
10042311042396 = 22321072607038173
BaseRepresentation
bin1001001000100010100001…
…1000011110010101011100
31022120000221220220220111200
42102020220120132111130
52304013123111324041
633205212441315500
72054350554310113
oct222105030362534
938500856826450
1010042311042396
113221a13865456
121162325795b90
1357aca7c4b099
1426a09c600c7a
1512635477d1b6
hex9222861e55c

10042311042396 has 36 divisors (see below), whose sum is σ = 25621971174072. Its totient is φ = 3316152554784.

The previous prime is 10042311042367. The next prime is 10042311042397. The reversal of 10042311042396 is 69324011324001.

10042311042396 is a `hidden beast` number, since 10 + 0 + 4 + 23 + 110 + 423 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×100423110423962 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10042311042396.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10042311042397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1303515235 + ... + 1303522938.

It is an arithmetic number, because the mean of its divisors is an integer number (711721421502).

Almost surely, 210042311042396 is an apocalyptic number.

It is an amenable number.

10042311042396 is an abundant number, since it is smaller than the sum of its proper divisors (15579660131676).

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

10042311042396 is a wasteful number, since it uses less digits than its factorization.

10042311042396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2607038290 (or 2607038285 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

Adding to 10042311042396 its reverse (69324011324001), we get a palindrome (79366322366397).

The spelling of 10042311042396 in words is "ten trillion, forty-two billion, three hundred eleven million, forty-two thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 107 214 321 428 642 963 1284 1926 3852 2607038173 5214076346 7821114519 10428152692 15642229038 23463343557 31284458076 46926687114 93853374228 278953084511 557906169022 836859253533 1115812338044 1673718507066 2510577760599 3347437014132 5021155521198 10042311042396