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103233132133 = 2911331502329
BaseRepresentation
bin110000000100100101…
…1001001011001100101
3100212110111100110202021
41200021023021121211
53142410140212013
6115231420143141
710313133100465
oct1401113113145
9325414313667
10103233132133
113a86545912a
1218010697ab1
1399725aba91
144dd45d1ba5
152a42ecea8d
hex18092c9665

103233132133 has 8 divisors (see below), whose sum is σ = 107737968600. Its totient is φ = 98791300608.

The previous prime is 103233132131. The next prime is 103233132203. The reversal of 103233132133 is 331231332301.

It can be written as a sum of positive squares in 4 ways, for example, as 3760387684 + 99472744449 = 61322^2 + 315393^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 103233132133 - 21 = 103233132131 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 103233132098 and 103233132107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233132131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15747888 + ... + 15754441.

It is an arithmetic number, because the mean of its divisors is an integer number (13467246075).

Almost surely, 2103233132133 is an apocalyptic number.

It is an amenable number.

103233132133 is a deficient number, since it is larger than the sum of its proper divisors (4504836467).

103233132133 is a wasteful number, since it uses less digits than its factorization.

103233132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31502471.

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 103233132133 its reverse (331231332301), we get a palindrome (434464464434).

The spelling of 103233132133 in words is "one hundred three billion, two hundred thirty-three million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 29 113 3277 31502329 913567541 3559763177 103233132133