Search a number
-
+
122024034306 = 2339173246343
BaseRepresentation
bin111000110100100110…
…0110000000000000010
3102122222001202012121000
41301221030300000002
53444401123044211
6132020154312430
711546604115026
oct1615114600002
9378861665530
10122024034306
1147828428049
121b795728716
13b6786281c5
145c9809a386
153292a14656
hex1c69330002

122024034306 has 32 divisors (see below), whose sum is σ = 271195182720. Its totient is φ = 40670078832.

The previous prime is 122024034287. The next prime is 122024034311. The reversal of 122024034306 is 603430420221.

122024034306 is a `hidden beast` number, since 1 + 220 + 2 + 4 + 0 + 3 + 430 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 122024034306.

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, 372171 + ... + 618513.

It is an arithmetic number, because the mean of its divisors is an integer number (8474849460).

Almost surely, 2122024034306 is an apocalyptic number.

122024034306 is an abundant number, since it is smaller than the sum of its proper divisors (149171148414).

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

122024034306 is a wasteful number, since it uses less digits than its factorization.

122024034306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255527 (or 255521 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 122024034306 its reverse (603430420221), we get a palindrome (725454454527).

The spelling of 122024034306 in words is "one hundred twenty-two billion, twenty-four million, thirty-four thousand, three hundred six".

Divisors: 1 2 3 6 9 18 27 54 9173 18346 27519 55038 82557 165114 246343 247671 492686 495342 739029 1478058 2217087 4434174 6651261 13302522 2259704339 4519408678 6779113017 13558226034 20337339051 40674678102 61012017153 122024034306