Search a number
-
+
101042523630 = 2335537060973
BaseRepresentation
bin101111000011010011…
…0101000110111101110
3100122210211100000211000
41132012212220313232
53123413341224010
6114230203541130
710204633164666
oct1360646506756
9318724300730
10101042523630
1139940963584
12176bab2a7a6
1396b37b8029
144c676bb1a6
152965a1a7c0
hex17869a8dee

101042523630 has 64 divisors (see below), whose sum is σ = 274530669120. Its totient is φ = 26436279168.

The previous prime is 101042523619. The next prime is 101042523643. The reversal of 101042523630 is 36325240101.

101042523630 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 4 + 2 + 5 + 23 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 101042523594 and 101042523603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3516177 + ... + 3544796.

It is an arithmetic number, because the mean of its divisors is an integer number (4289541705).

Almost surely, 2101042523630 is an apocalyptic number.

101042523630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101042523630 is an abundant number, since it is smaller than the sum of its proper divisors (173488145490).

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

101042523630 is a wasteful number, since it uses less digits than its factorization.

101042523630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7061042 (or 7061036 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 101042523630 its reverse (36325240101), we get a palindrome (137367763731).

The spelling of 101042523630 in words is "one hundred one billion, forty-two million, five hundred twenty-three thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 4770 7155 14310 7060973 14121946 21182919 35304865 42365838 63548757 70609730 105914595 127097514 190646271 211829190 317743785 374231569 381292542 635487570 748463138 953231355 1122694707 1871157845 1906462710 2245389414 3368084121 3742315690 5613473535 6736168242 10104252363 11226947070 16840420605 20208504726 33680841210 50521261815 101042523630