Search a number
-
+
102032341220 = 2255101617061
BaseRepresentation
bin101111100000110011…
…0011111100011100100
3100202100210211222021202
41133001212133203210
53132430234404340
6114512323102032
710241312406365
oct1370146374344
9322323758252
10102032341220
113a2a9662147
1217936511918
13981089b604
144d1cd37b6c
1529c2889c15
hex17c199f8e4

102032341220 has 12 divisors (see below), whose sum is σ = 214267916604. Its totient is φ = 40812936480.

The previous prime is 102032341211. The next prime is 102032341297. The reversal of 102032341220 is 22143230201.

It can be written as a sum of positive squares in 2 ways, for example, as 81288852544 + 20743488676 = 285112^2 + 144026^2 .

It is a super-2 number, since 2×1020323412202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 5101617061 = 102032341220 / (1 + 0 + 2 + 0 + 3 + 2 + 3 + 4 + 1 + 2 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 102032341192 and 102032341201.

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, 2550808511 + ... + 2550808550.

It is an arithmetic number, because the mean of its divisors is an integer number (17855659717).

Almost surely, 2102032341220 is an apocalyptic number.

102032341220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102032341220 is an abundant number, since it is smaller than the sum of its proper divisors (112235575384).

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

102032341220 is a wasteful number, since it uses less digits than its factorization.

102032341220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5101617070 (or 5101617068 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102032341220 its reverse (22143230201), we get a palindrome (124175571421).

The spelling of 102032341220 in words is "one hundred two billion, thirty-two million, three hundred forty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 5101617061 10203234122 20406468244 25508085305 51016170610 102032341220