Search a number
-
+
102013022310 = 23525713231261
BaseRepresentation
bin101111100000001110…
…0110011000001100110
3100202022110111110201120
41133000130303001212
53132410313203220
6114510353034410
710240656245133
oct1370034630146
9322273443646
10102013022310
113a299767601
121792bb55a06
1398098961c4
144d1a54958a
1529c0d20a40
hex17c0733066

102013022310 has 32 divisors (see below), whose sum is σ = 245783922912. Its totient is φ = 27097620480.

The previous prime is 102013022299. The next prime is 102013022327. The reversal of 102013022310 is 13220310201.

102013022310 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1020130223102 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102013022310.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6607921 + ... + 6623340.

It is an arithmetic number, because the mean of its divisors is an integer number (7680747591).

Almost surely, 2102013022310 is an apocalyptic number.

102013022310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102013022310 is an abundant number, since it is smaller than the sum of its proper divisors (143770900602).

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

102013022310 is a wasteful number, since it uses less digits than its factorization.

102013022310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13231528.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 102013022310 its reverse (13220310201), we get a palindrome (115233332511).

The spelling of 102013022310 in words is "one hundred two billion, thirteen million, twenty-two thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 30 257 514 771 1285 1542 2570 3855 7710 13231261 26462522 39693783 66156305 79387566 132312610 198468915 396937830 3400434077 6800868154 10201302231 17002170385 20402604462 34004340770 51006511155 102013022310