Search a number
-
+
102230312310 = 232573110151827
BaseRepresentation
bin101111100110101100…
…1101100010101110110
3100202212121100221120100
41133031121230111312
53133331424443220
6114544114214530
710246235213520
oct1371531542566
9322777327510
10102230312310
113a3a0389815
1217990884446
1398428c5279
144d3b34ca10
1529d4e42d90
hex17cd66c576

102230312310 has 192 divisors, whose sum is σ = 316679860224. Its totient is φ = 22388832000.

The previous prime is 102230312273. The next prime is 102230312321. The reversal of 102230312310 is 13213032201.

102230312310 is a `hidden beast` number, since 10 + 2 + 2 + 30 + 312 + 310 = 666.

102230312310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1022303123102 (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1946617 + ... + 1998443.

It is an arithmetic number, because the mean of its divisors is an integer number (1649374272).

Almost surely, 2102230312310 is an apocalyptic number.

102230312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102230312310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158339930112).

102230312310 is an abundant number, since it is smaller than the sum of its proper divisors (214449547914).

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

102230312310 is a wasteful number, since it uses less digits than its factorization.

102230312310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51979 (or 51976 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102230312310 its reverse (13213032201), we get a palindrome (115443344511).

The spelling of 102230312310 in words is "one hundred two billion, two hundred thirty million, three hundred twelve thousand, three hundred ten".