Search a number
-
+
103200113313 = 3411292137723
BaseRepresentation
bin110000000011100110…
…1001100001010100001
3100212101012012221110000
41200013031030022201
53142323212111223
6115224240330213
710312252326633
oct1400715141241
9325335187400
10103200113313
113a848856650
1218001613969
1399687baa0b
144dd0078a53
152a4015b543
hex180734c2a1

103200113313 has 60 divisors (see below), whose sum is σ = 174178441008. Its totient is φ = 60388342560.

The previous prime is 103200113273. The next prime is 103200113321. The reversal of 103200113313 is 313311002301.

It is a happy number.

103200113313 is a `hidden beast` number, since 1 + 0 + 320 + 0 + 11 + 331 + 3 = 666.

It is not a de Polignac number, because 103200113313 - 28 = 103200113057 is a prime.

It is not an unprimeable number, because it can be changed into a prime (103200113323) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 680470 + ... + 818192.

Almost surely, 2103200113313 is an apocalyptic number.

It is an amenable number.

103200113313 is a deficient number, since it is larger than the sum of its proper divisors (70978327695).

103200113313 is a wasteful number, since it uses less digits than its factorization.

103200113313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137804 (or 137766 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 103200113313 its reverse (313311002301), we get a palindrome (416511115614).

The spelling of 103200113313 in words is "one hundred three billion, two hundred million, one hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 29 33 81 87 99 261 297 319 783 841 891 957 2349 2523 2871 7569 8613 9251 22707 25839 27753 68121 83259 137723 249777 413169 749331 1239507 1514953 3718521 3993967 4544859 11155563 11981901 13634577 35945703 40903731 43933637 107837109 115825043 122711193 131800911 323511327 347475129 395402733 1042425387 1186208199 1274075473 3127276161 3558624597 3822226419 9381828483 11466679257 34400037771 103200113313