Search a number
-
+
113210013330 = 23253771478831
BaseRepresentation
bin110100101101111010…
…1111011011010010010
3101211012210121112211200
41221123311323122102
53323323230411310
6124001415252030
711115310143621
oct1513365733222
9354183545750
10113210013330
1144015112697
1219b3597a016
13a8a256338b
14569d6576b8
152e28d229c0
hex1a5bd7b692

113210013330 has 96 divisors (see below), whose sum is σ = 306559738368. Its totient is φ = 28959638400.

The previous prime is 113210013313. The next prime is 113210013337. The reversal of 113210013330 is 33310012311.

It is a happy number.

113210013330 is a `hidden beast` number, since 1 + 1 + 321 + 0 + 0 + 13 + 330 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (113210013337) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2986 + ... + 475845.

It is an arithmetic number, because the mean of its divisors is an integer number (3193330608).

Almost surely, 2113210013330 is an apocalyptic number.

113210013330 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 113210013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153279869184).

113210013330 is an abundant number, since it is smaller than the sum of its proper divisors (193349725038).

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

113210013330 is a wasteful number, since it uses less digits than its factorization.

113210013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478952 (or 478949 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 113210013330 its reverse (33310012311), we get a palindrome (146520025641).

The spelling of 113210013330 in words is "one hundred thirteen billion, two hundred ten million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 71 74 90 111 142 185 213 222 333 355 370 426 555 639 666 710 1065 1110 1278 1665 2130 2627 3195 3330 5254 6390 7881 13135 15762 23643 26270 39405 47286 78810 118215 236430 478831 957662 1436493 2394155 2872986 4309479 4788310 7182465 8618958 14364930 17716747 21547395 33997001 35433494 43094790 53150241 67994002 88583735 101991003 106300482 159450723 169985005 177167470 203982006 265751205 305973009 318901446 339970010 509955015 531502410 611946018 797253615 1019910030 1257889037 1529865045 1594507230 2515778074 3059730090 3773667111 6289445185 7547334222 11321001333 12578890370 18868335555 22642002666 37736671110 56605006665 113210013330