Search a number
-
+
102221000010 = 23253730696997
BaseRepresentation
bin101111100110011011…
…0001010110101001010
3100202211221211211111100
41133030312022311022
53133322034000020
6114543142442230
710246063110123
oct1371466126512
9322757754440
10102221000010
113a3960a92a8
1217989733376
1398409b472c
144d3a00704a
1529d4203a90
hex17ccd8ad4a

102221000010 has 48 divisors (see below), whose sum is σ = 272957706216. Its totient is φ = 26522204544.

The previous prime is 102220999999. The next prime is 102221000093. The reversal of 102221000010 is 10000122201.

It can be written as a sum of positive squares in 4 ways, for example, as 80697469329 + 21523530681 = 284073^2 + 146709^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 102220999956 and 102221000001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15345169 + ... + 15351828.

Almost surely, 2102221000010 is an apocalyptic number.

102221000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102221000010 is an abundant number, since it is smaller than the sum of its proper divisors (170736706206).

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

102221000010 is a wasteful number, since it uses less digits than its factorization.

102221000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30697047 (or 30697044 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102221000010 its reverse (10000122201), we get a palindrome (112221122211).

The spelling of 102221000010 in words is "one hundred two billion, two hundred twenty-one million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 30696997 61393994 92090991 153484985 184181982 276272973 306969970 460454955 552545946 920909910 1135788889 1381364865 2271577778 2762729730 3407366667 5678944445 6814733334 10222100001 11357888890 17036833335 20444200002 34073666670 51110500005 102221000010