Search a number
-
+
113002101032100 = 2235271571627210659
BaseRepresentation
bin11001101100011001011010…
…000101110100010010100100
3112211002220011201021112202220
4121230121122011310102210
5104302411300331011400
61040200240515432340
732542063256326650
oct3154313205642244
9484086151245686
10113002101032100
1133007a1608a435
1210810692bb56b0
134b0908b190c07
141dc948bcb1a60
15d0e69d6247a0
hex66c65a1744a4

113002101032100 has 288 divisors, whose sum is σ = 376273193640960. Its totient is φ = 25648639511040.

The previous prime is 113002101032087. The next prime is 113002101032207. The reversal of 113002101032100 is 1230101200311.

It is a happy number.

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 113002101032100.

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, 536316571 + ... + 536527229.

Almost surely, 2113002101032100 is an apocalyptic number.

113002101032100 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 113002101032100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188136596820480).

113002101032100 is an abundant number, since it is smaller than the sum of its proper divisors (263271092608860).

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

113002101032100 is a wasteful number, since it uses less digits than its factorization.

113002101032100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212467 (or 212460 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 113002101032100 its reverse (1230101200311), we get a palindrome (114232202232411).

The spelling of 113002101032100 in words is "one hundred thirteen trillion, two billion, one hundred one million, thirty-two thousand, one hundred".