Search a number
-
+
122314198816 = 255372119221
BaseRepresentation
bin111000111101001111…
…1101000111100100000
3102200201021202002110201
41301322133220330200
54000444413330231
6132105041434544
711560026351505
oct1617237507440
9380637662421
10122314198816
11479671a3a27
121b85693ba54
13b6c3791294
145cc482d4ac
1532ad22e161
hex1c7a7e8f20

122314198816 has 24 divisors (see below), whose sum is σ = 245349593244. Its totient is φ = 60003191040.

The previous prime is 122314198777. The next prime is 122314198829. The reversal of 122314198816 is 618891413221.

It can be written as a sum of positive squares in 2 ways, for example, as 104202422416 + 18111776400 = 322804^2 + 134580^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36057915 + ... + 36061306.

Almost surely, 2122314198816 is an apocalyptic number.

122314198816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

122314198816 is an abundant number, since it is smaller than the sum of its proper divisors (123035394428).

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

122314198816 is an equidigital number, since it uses as much as digits as its factorization.

122314198816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72119284 (or 72119276 counting only the distinct ones).

The product of its digits is 165888, while the sum is 46.

The spelling of 122314198816 in words is "one hundred twenty-two billion, three hundred fourteen million, one hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 53 106 212 424 848 1696 72119221 144238442 288476884 576953768 1153907536 2307815072 3822318713 7644637426 15289274852 30578549704 61157099408 122314198816