Search a number
-
+
220310122122 = 23217370748273
BaseRepresentation
bin1100110100101110000…
…0011010111010001010
3210001122210100210022200
43031023200122322022
512102143342401442
6245113054301030
721626330066016
oct3151340327212
9701583323280
10220310122122
11854843585a2
12368454b7776
1317a10029c0c
14a93d653546
155ae654d34c
hex334b81ae8a

220310122122 has 24 divisors (see below), whose sum is σ = 480097787364. Its totient is φ = 73012216704.

The previous prime is 220310122111. The next prime is 220310122171. The reversal of 220310122122 is 221221013022.

220310122122 is a `hidden beast` number, since 220 + 310 + 12 + 2 + 122 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 217138292361 + 3171829761 = 465981^2 + 56319^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 220310122095 and 220310122104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35371023 + ... + 35377250.

Almost surely, 2220310122122 is an apocalyptic number.

220310122122 is an abundant number, since it is smaller than the sum of its proper divisors (259787665242).

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

220310122122 is a wasteful number, since it uses less digits than its factorization.

220310122122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70748454 (or 70748451 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 220310122122 its reverse (221221013022), we get a palindrome (441531135144).

The spelling of 220310122122 in words is "two hundred twenty billion, three hundred ten million, one hundred twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 173 346 519 1038 1557 3114 70748273 141496546 212244819 424489638 636734457 1273468914 12239451229 24478902458 36718353687 73436707374 110155061061 220310122122