Search a number
-
+
136210460100 = 22352111317318353
BaseRepresentation
bin111111011011011000…
…1101010110111000100
3111000120202000022021120
41332312301222313010
54212424334210400
6142324010513540
712561264544011
oct1766661526704
9430522008246
10136210460100
1152848287790
12224947358b0
13cac974a9b0
146842220708
1538231beca0
hex1fb6c6adc4

136210460100 has 288 divisors, whose sum is σ = 465702943104. Its totient is φ = 30302822400.

The previous prime is 136210460083. The next prime is 136210460131. The reversal of 136210460100 is 1064012631.

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, 7412524 + ... + 7430876.

It is an arithmetic number, because the mean of its divisors is an integer number (1617024108).

Almost surely, 2136210460100 is an apocalyptic number.

136210460100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136210460100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232851471552).

136210460100 is an abundant number, since it is smaller than the sum of its proper divisors (329492483004).

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

136210460100 is a wasteful number, since it uses less digits than its factorization.

136210460100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18567 (or 18560 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 136210460100 its reverse (1064012631), we get a palindrome (137274472731).

The spelling of 136210460100 in words is "one hundred thirty-six billion, two hundred ten million, four hundred sixty thousand, one hundred".