Search a number
-
+
102422401312 = 25731117139359
BaseRepresentation
bin101111101100011011…
…0011101000100100000
3100210100222211002010211
41133120312131010200
53134230113320222
6115015135303504
710254060022000
oct1373066350440
9323328732124
10102422401312
113a489859060
1217a2507ab94
13987363c7ba
144d58a72000
1529e6c38277
hex17d8d9d120

102422401312 has 384 divisors, whose sum is σ = 274337280000. Its totient is φ = 37183426560.

The previous prime is 102422401307. The next prime is 102422401351. The reversal of 102422401312 is 213104224201.

It is a super-3 number, since 3×1024224013123 (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 285298989 + ... + 285299347.

It is an arithmetic number, because the mean of its divisors is an integer number (714420000).

Almost surely, 2102422401312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102422401312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137168640000).

102422401312 is an abundant number, since it is smaller than the sum of its proper divisors (171914878688).

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

102422401312 is a wasteful number, since it uses less digits than its factorization.

102422401312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 102422401312 its reverse (213104224201), we get a palindrome (315526625513).

The spelling of 102422401312 in words is "one hundred two billion, four hundred twenty-two million, four hundred one thousand, three hundred twelve".