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102420101322 = 23371124632059
BaseRepresentation
bin101111101100010110…
…1101011100011001010
3100210100211111020011000
41133120231223203022
53134224021220242
6115015014115430
710254031332330
oct1373055534312
9323324436130
10102420101322
113a488528040
1217a2434bb76
139873015966
144d58633b50
1529e6931a4c
hex17d8b6b8ca

102420101322 has 64 divisors (see below), whose sum is σ = 283761331200. Its totient is φ = 26602622640.

The previous prime is 102420101269. The next prime is 102420101353. The reversal of 102420101322 is 223101024201.

It is a happy number.

102420101322 is a `hidden beast` number, since 1 + 0 + 242 + 0 + 101 + 322 = 666.

It is a super-2 number, since 2×1024201013222 (a number of 23 digits) contains 22 as substring.

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 = 102420101295 and 102420101304.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12311872 + ... + 12320187.

It is an arithmetic number, because the mean of its divisors is an integer number (4433770800).

Almost surely, 2102420101322 is an apocalyptic number.

102420101322 is an abundant number, since it is smaller than the sum of its proper divisors (181341229878).

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

102420101322 is a wasteful number, since it uses less digits than its factorization.

102420101322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24632088 (or 24632082 counting only the distinct ones).

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

Adding to 102420101322 its reverse (223101024201), we get a palindrome (325521125523).

The spelling of 102420101322 in words is "one hundred two billion, four hundred twenty million, one hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 99 126 154 189 198 231 297 378 462 594 693 1386 2079 4158 24632059 49264118 73896177 147792354 172424413 221688531 270952649 344848826 443377062 517273239 541905298 665065593 812857947 1034546478 1330131186 1551819717 1625715894 1896668543 2438573841 3103639434 3793337086 4655459151 4877147682 5690005629 7315721523 9310918302 11380011258 14631443046 17070016887 34140033774 51210050661 102420101322