Search a number
-
+
112121302002323 = 17219233344925409
BaseRepresentation
bin11001011111100101000110…
…011000001010101010010011
3112200222200200022111210222212
4121133211012120022222103
5104143443411303033243
61034243452015422335
732421332246160305
oct3137450630125223
9480880608453885
10112121302002323
11327a8416a90779
12106a9a392249ab
134a73cbb6a9363
141d989b2a19975
15ce67ebb2e318
hex65f94660aa93

112121302002323 has 48 divisors (see below), whose sum is σ = 125952847020000. Its totient is φ = 99510092955648.

The previous prime is 112121302002317. The next prime is 112121302002341. The reversal of 112121302002323 is 323200203121211.

It is not a de Polignac number, because 112121302002323 - 212 = 112121301998227 is a prime.

It is a super-2 number, since 2×1121213020023232 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (112121302002223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4412648243 + ... + 4412673651.

It is an arithmetic number, because the mean of its divisors is an integer number (2624017646250).

Almost surely, 2112121302002323 is an apocalyptic number.

112121302002323 is a deficient number, since it is larger than the sum of its proper divisors (13831545017677).

112121302002323 is a wasteful number, since it uses less digits than its factorization.

112121302002323 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29144 (or 29127 counting only the distinct ones).

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

Adding to 112121302002323 its reverse (323200203121211), we get a palindrome (435321505123534).

The spelling of 112121302002323 in words is "one hundred twelve trillion, one hundred twenty-one billion, three hundred two million, two thousand, three hundred twenty-three".

Divisors: 1 17 19 233 289 323 3449 3961 4427 5491 25409 58633 65531 67337 75259 431953 482771 803617 996761 1114027 1279403 5920297 7343201 8207107 13661489 15268723 18938459 87635641 100645049 112485643 139520819 232245313 259568291 1489805897 1665077179 1710965833 1912255931 4412660947 20419104353 25326700249 28306312043 32508350827 347124774001 387962982707 481207304731 5901121158017 6595370706019 112121302002323