Search a number
-
+
122014003331020 = 22526992260355749
BaseRepresentation
bin11011101111100010011001…
…010100110111111111001100
3121000000102110200100210210011
4123233202121110313333030
5111443034134323043040
61111300243113523004
734462135514063203
oct3357423124677714
9530012420323704
10122014003331020
1135971936a88939
121182716aa13464
135310b42b98118
14221b71b62223a
15e18ce6bc33ea
hex6ef899537fcc

122014003331020 has 24 divisors (see below), whose sum is σ = 256324342050000. Its totient is φ = 48787518464832.

The previous prime is 122014003330997. The next prime is 122014003331027. The reversal of 122014003331020 is 20133300410221.

It is a junction number, because it is equal to n+sod(n) for n = 122014003330982 and 122014003331000.

It is not an unprimeable number, because it can be changed into a prime (122014003331027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1130123895 + ... + 1130231854.

It is an arithmetic number, because the mean of its divisors is an integer number (10680180918750).

Almost surely, 2122014003331020 is an apocalyptic number.

122014003331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122014003331020 is an abundant number, since it is smaller than the sum of its proper divisors (134310338718980).

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

122014003331020 is a wasteful number, since it uses less digits than its factorization.

122014003331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2260358457 (or 2260358455 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 122014003331020 its reverse (20133300410221), we get a palindrome (142147303741241).

The spelling of 122014003331020 in words is "one hundred twenty-two trillion, fourteen billion, three million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 2699 5398 10796 13495 26990 53980 2260355749 4520711498 9041422996 11301778745 22603557490 45207114980 6100700166551 12201400333102 24402800666204 30503500832755 61007001665510 122014003331020