Search a number
-
+
133312233210100 = 225272516479831193
BaseRepresentation
bin11110010011111100101100…
…010011100000000011110100
3122111000112011202011001102121
4132103330230103200003310
5114433141423200210400
61151310443334445324
740036330262360620
oct3623745423400364
9574015152131377
10133312233210100
1139528445227a9a
1212b50979203844
13595039c48c939
1424cc4bcba0180
151062b5543621a
hex793f2c4e00f4

133312233210100 has 288 divisors, whose sum is σ = 333061698686976. Its totient is φ = 45370285440000.

The previous prime is 133312233210061. The next prime is 133312233210139. The reversal of 133312233210100 is 1012332213331.

It is an interprime number because it is at equal distance from previous prime (133312233210061) and next prime (133312233210139).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111745375104 + ... + 111745376296.

It is an arithmetic number, because the mean of its divisors is an integer number (1156464231552).

Almost surely, 2133312233210100 is an apocalyptic number.

133312233210100 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 133312233210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166530849343488).

133312233210100 is an abundant number, since it is smaller than the sum of its proper divisors (199749465476876).

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

133312233210100 is a wasteful number, since it uses less digits than its factorization.

133312233210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3088 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

Adding to 133312233210100 its reverse (1012332213331), we get a palindrome (134324565423431).

The spelling of 133312233210100 in words is "one hundred thirty-three trillion, three hundred twelve billion, two hundred thirty-three million, two hundred ten thousand, one hundred".