Search a number
-
+
202123300120313 = 11135941973697759
BaseRepresentation
bin101101111101010001111111…
…100000010010011011111001
3222111122210120022102000001012
4231331101333200102123321
5202443042004312322223
61553514055012003305
760400632541461155
oct5575217740223371
9874583508360035
10202123300120313
1159448012635510
121a804a24300535
1388a21b7632610
1437cab69c28065
151857a56aeac78
hexb7d47f8126f9

202123300120313 has 64 divisors (see below), whose sum is σ = 242124664320000. Its totient is φ = 166297191160320.

The previous prime is 202123300120303. The next prime is 202123300120369. The reversal of 202123300120313 is 313021003321202.

It is not a de Polignac number, because 202123300120313 - 28 = 202123300120057 is a prime.

It is a super-2 number, since 2×2021233001203132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (202123300120303) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26050170128 + ... + 26050177886.

It is an arithmetic number, because the mean of its divisors is an integer number (3783197880000).

Almost surely, 2202123300120313 is an apocalyptic number.

It is an amenable number.

202123300120313 is a deficient number, since it is larger than the sum of its proper divisors (40001364199687).

202123300120313 is a wasteful number, since it uses less digits than its factorization.

202123300120313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15630.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 202123300120313 its reverse (313021003321202), we get a palindrome (515144303441515).

The spelling of 202123300120313 in words is "two hundred two trillion, one hundred twenty-three billion, three hundred million, one hundred twenty thousand, three hundred thirteen".

Divisors: 1 11 13 59 143 419 649 767 4609 5447 7369 7759 8437 24721 59917 81059 85349 95797 100867 271931 321373 434771 457781 1053767 1109537 3087611 3251021 3535103 4782481 5035591 5652023 5951153 33963721 35761231 40138943 42263273 57176071 62172253 65462683 182169049 191810239 441528373 464896003 628936781 743288923 2003859539 2109912629 2368197637 2493533107 3373388189 8176178153 23956773749 26050174007 27428864177 37107270079 43854046457 263524511239 311438058737 482394511027 1413449651191 3425818646107 15547946163101 18374845465483 202123300120313