Search a number
-
+
122616335130 = 23535923113777
BaseRepresentation
bin111001000110010000…
…0001100101100011010
3102201111100021012120120
41302030200030230122
54002104240211010
6132155033334110
711600355436422
oct1621440145432
9381440235516
10122616335130
11480017a7463
121b91bb67336
13b741259573
145d129db482
1532c9a10e70
hex1c8c80cb1a

122616335130 has 32 divisors (see below), whose sum is σ = 294289982784. Its totient is φ = 32696491776.

The previous prime is 122616335117. The next prime is 122616335203. The reversal of 122616335130 is 31533616221.

122616335130 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 122616335091 and 122616335100.

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, 1020802 + ... + 1134578.

It is an arithmetic number, because the mean of its divisors is an integer number (9196561962).

Almost surely, 2122616335130 is an apocalyptic number.

122616335130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122616335130 is an abundant number, since it is smaller than the sum of its proper divisors (171673647654).

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

122616335130 is a wasteful number, since it uses less digits than its factorization.

122616335130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149710.

The product of its (nonzero) digits is 19440, while the sum is 33.

The spelling of 122616335130 in words is "one hundred twenty-two billion, six hundred sixteen million, three hundred thirty-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 35923 71846 107769 113777 179615 215538 227554 341331 359230 538845 568885 682662 1077690 1137770 1706655 3413310 4087211171 8174422342 12261633513 20436055855 24523267026 40872111710 61308167565 122616335130