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10300121233233 = 3135359131644731
BaseRepresentation
bin1001010111100010111100…
…0100010011011101010001
31100110200102011021120022020
42111320233010103131101
52322224122013430413
633523451012402053
72112105414625416
oct225705704233521
940420364246266
1010300121233233
113311290a04677
1211a4295916329
135993b3123470
142787583cc10d
1512cde309cc23
hex95e2f113751

10300121233233 has 64 divisors (see below), whose sum is σ = 15441382978560. Its totient is φ = 6066857721600.

The previous prime is 10300121233231. The next prime is 10300121233271. The reversal of 10300121233233 is 33233212100301.

10300121233233 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10300121233233 - 21 = 10300121233231 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10300121233231) 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, 15653478 + ... + 16298208.

It is an arithmetic number, because the mean of its divisors is an integer number (241271609040).

Almost surely, 210300121233233 is an apocalyptic number.

10300121233233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10300121233233 is a deficient number, since it is larger than the sum of its proper divisors (5141261745327).

10300121233233 is a wasteful number, since it uses less digits than its factorization.

10300121233233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644990.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10300121233233 its reverse (33233212100301), we get a palindrome (43533333333534).

The spelling of 10300121233233 in words is "ten trillion, three hundred billion, one hundred twenty-one million, two hundred thirty-three thousand, two hundred thirty-three".

Divisors: 1 3 13 39 53 59 131 159 177 393 689 767 1703 2067 2301 3127 5109 6943 7729 9381 20829 23187 40651 90259 100477 121953 270777 301431 409637 644731 1228911 1934193 5325281 8381503 15975843 25144509 34170743 38039129 84459761 102512229 114117387 253379283 444219659 494508677 1097976893 1332658977 1483526031 2016073837 3293930679 4476367333 4983125899 6048221511 13429101999 14949377697 26208959881 58192775329 64780636687 78626879643 174578325987 194341910061 264105672647 792317017941 3433373744411 10300121233233