Search a number
-
+
10121314332 = 2233722795753
BaseRepresentation
bin10010110110100011…
…10000000000011100
3222010101001001002210
421123101300000130
5131212024024312
64352154520420
7505546516023
oct113321600034
928111031083
1010121314332
114324244298
121b65736110
13c53b846bc
146c03018ba
153e3872e3c
hex25b47001c

10121314332 has 24 divisors (see below), whose sum is σ = 24254682256. Its totient is φ = 3282588288.

The previous prime is 10121314319. The next prime is 10121314351. The reversal of 10121314332 is 23341312101.

It is a junction number, because it is equal to n+sod(n) for n = 10121314299 and 10121314308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11397433 + ... + 11398320.

Almost surely, 210121314332 is an apocalyptic number.

10121314332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10121314332 is an abundant number, since it is smaller than the sum of its proper divisors (14133367924).

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

10121314332 is a wasteful number, since it uses less digits than its factorization.

10121314332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22795797 (or 22795795 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10121314332 its reverse (23341312101), we get a palindrome (33462626433).

The spelling of 10121314332 in words is "ten billion, one hundred twenty-one million, three hundred fourteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 444 22795753 45591506 68387259 91183012 136774518 273549036 843442861 1686885722 2530328583 3373771444 5060657166 10121314332