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61002022122 = 2329758695953
BaseRepresentation
bin111000110100000000…
…001111110011101010
312211110100001210200200
4320310000033303222
51444413004201442
644005101013030
74256454426666
oct706400176352
9184410053620
1061002022122
1123964062118
12b9a5554176
1359a22248a2
142d499a98a6
1518c06d334c
hexe3400fcea

61002022122 has 48 divisors (see below), whose sum is σ = 133578823560. Its totient is φ = 20117569536.

The previous prime is 61002022033. The next prime is 61002022127. The reversal of 61002022122 is 22122020016.

61002022122 is a `hidden beast` number, since 610 + 0 + 20 + 22 + 12 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17795826801 + 43206195321 = 133401^2 + 207861^2 .

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 = 61002022095 and 61002022104.

It is not an unprimeable number, because it can be changed into a prime (61002022127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10244298 + ... + 10250250.

Almost surely, 261002022122 is an apocalyptic number.

61002022122 is an abundant number, since it is smaller than the sum of its proper divisors (72576801438).

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

61002022122 is a wasteful number, since it uses less digits than its factorization.

61002022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11927 (or 11924 counting only the distinct ones).

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

Adding to 61002022122 its reverse (22122020016), we get a palindrome (83124042138).

The spelling of 61002022122 in words is "sixty-one billion, two million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 97 194 291 582 873 1746 5869 5953 11738 11906 17607 17859 35214 35718 52821 53577 105642 107154 569293 577441 1138586 1154882 1707879 1732323 3415758 3464646 5123637 5196969 10247274 10393938 34938157 69876314 104814471 209628942 314443413 628886826 3389001229 6778002458 10167003687 20334007374 30501011061 61002022122