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2113351265169 = 324125322232
BaseRepresentation
bin11110110000001101100…
…011010010101110010001
321111000221002020201220100
4132300031203102232101
5234111120410441134
64254505444003013
7305453546234634
oct36601543225621
97430832221810
102113351265169
117452a3770031
122a16b9090469
13124399152801
1474402b95c1b
1539e8e402999
hex1ec0d8d2b91

2113351265169 has 81 divisors (see below), whose sum is σ = 3203402818161. Its totient is φ = 1342555194240.

The previous prime is 2113351265141. The next prime is 2113351265177. The reversal of 2113351265169 is 9615621533112.

The square root of 2113351265169 is 1453737.

It is a perfect power (a square), and thus also a powerful number.

2113351265169 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 3 + 5 + 126 + 516 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 228804372225 + 1884546892944 = 478335^2 + 1372788^2 .

It is not a de Polignac number, because 2113351265169 - 213 = 2113351256977 is a prime.

It is a super-2 number, since 2×21133512651692 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2113351265369) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9476911392 + ... + 9476911614.

Almost surely, 22113351265169 is an apocalyptic number.

2113351265169 is the 1453737-th square number.

2113351265169 is the 726869-th centered octagonal number.

It is an amenable number.

2113351265169 is a deficient number, since it is larger than the sum of its proper divisors (1090051552992).

2113351265169 is an frugal number, since it uses more digits than its factorization.

2113351265169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 320 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 2113351265169 in words is "two trillion, one hundred thirteen billion, three hundred fifty-one million, two hundred sixty-five thousand, one hundred sixty-nine".

Divisors: 1 3 9 41 53 123 159 223 369 477 669 1681 2007 2173 2809 5043 6519 8427 9143 11819 15129 19557 25281 27429 35457 49729 82287 89093 106371 115169 149187 267279 345507 374863 447561 484579 626407 801837 1036521 1124589 1453737 1879221 2038889 2635637 3373767 4361211 4721929 5637663 6116667 7906911 14165787 18350001 19867739 23720733 25682687 42497361 59603217 77048061 83594449 108061117 139688761 178809651 231144183 250783347 324183351 419066283 752350041 972550053 1052990167 1257198849 3158970501 4430505797 5727239201 9476911503 13291517391 17181717603 39874552173 51545152809 234816807241 704450421723 2113351265169