Search a number
-
+
203122813640331 = 31337160787594431
BaseRepresentation
bin101110001011110100110111…
…001001110001111010001011
3222122012100111010102200110010
4232023310313021301322023
5203110431010242442311
62000001155443323003
760533065451303214
oct5613646711617213
9878170433380403
10203122813640331
11597a29a0998832
121a94668b380463
138945525b9ab80
1438232a77d840b
151873a557b9da6
hexb8bd37271e8b

203122813640331 has 32 divisors (see below), whose sum is σ = 299732729683968. Its totient is φ = 121544629557120.

The previous prime is 203122813640323. The next prime is 203122813640363. The reversal of 203122813640331 is 133046318221302.

It is a happy number.

It is not a de Polignac number, because 203122813640331 - 23 = 203122813640323 is a prime.

It is a super-2 number, since 2×2031228136403312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 203122813640331.

It is not an unprimeable number, because it can be changed into a prime (203122813640311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41478315 + ... + 46116116.

It is an arithmetic number, because the mean of its divisors is an integer number (9366647802624).

Almost surely, 2203122813640331 is an apocalyptic number.

203122813640331 is a deficient number, since it is larger than the sum of its proper divisors (96609916043637).

203122813640331 is a wasteful number, since it uses less digits than its factorization.

203122813640331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87596091.

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 203122813640331 in words is "two hundred three trillion, one hundred twenty-two billion, eight hundred thirteen million, six hundred forty thousand, three hundred thirty-one".

Divisors: 1 3 13 37 39 111 481 1443 1607 4821 20891 59459 62673 178377 772967 2318901 87594431 262783293 1138727603 3240993947 3416182809 9722981841 42132921311 126398763933 140764250617 422292751851 1829935258021 5208277272829 5489805774063 15624831818487 67707604546777 203122813640331