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213301034331 = 371133110972543
BaseRepresentation
bin1100011010100110111…
…0110111110101011011
3202101120022112020102120
43012221232313311123
511443320031044311
6241553353232323
721260540606520
oct3065156676533
9671508466376
10213301034331
1182507967160
123540a1026a3
1317163b916a8
14a47680d147
15583603b706
hex31a9bb7d5b

213301034331 has 64 divisors (see below), whose sum is σ = 356113760256. Its totient is φ = 110326867200.

The previous prime is 213301034327. The next prime is 213301034357. The reversal of 213301034331 is 133430103312.

It is a happy number.

It is not a de Polignac number, because 213301034331 - 22 = 213301034327 is a prime.

It is a super-2 number, since 2×2133010343312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213301033331) 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, 83876446 + ... + 83878988.

It is an arithmetic number, because the mean of its divisors is an integer number (5564277504).

Almost surely, 2213301034331 is an apocalyptic number.

213301034331 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

213301034331 is a deficient number, since it is larger than the sum of its proper divisors (142812725925).

213301034331 is a wasteful number, since it uses less digits than its factorization.

213301034331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3992.

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

Adding to 213301034331 its reverse (133430103312), we get a palindrome (346731137643).

The spelling of 213301034331 in words is "two hundred thirteen billion, three hundred one million, thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 231 331 993 1097 2317 2543 3291 3641 6951 7629 7679 10923 12067 17801 23037 25487 27973 36201 53403 76461 83919 84469 195811 253407 363107 587433 841733 1089321 2525199 2541749 2789671 3994177 5892131 7625247 8369013 9259063 11982531 17676393 19527697 27777189 27959239 30686381 58583091 64813441 83877717 92059143 194440323 214804667 644414001 923381101 2770143303 6463667707 10157192111 19391003121 30471576333 71100344777 213301034331