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231144402213 = 322331061103889
BaseRepresentation
bin1101011101000101000…
…1111010110100100101
3211002121211222020120200
43113101101322310211
512241340431332323
6254104122421113
722461655000314
oct3272121726445
9732554866520
10231144402213
118a033a9758a
1238969961799
1318a4881043a
14b28a50627b
15602c7a5443
hex35d147ad25

231144402213 has 24 divisors (see below), whose sum is σ = 335627449560. Its totient is φ = 153288821760.

The previous prime is 231144402173. The next prime is 231144402253. The reversal of 231144402213 is 312204441132.

231144402213 is a `hidden beast` number, since 2 + 3 + 1 + 1 + 4 + 440 + 2 + 213 = 666.

It is an interprime number because it is at equal distance from previous prime (231144402173) and next prime (231144402253).

It can be written as a sum of positive squares in 4 ways, for example, as 36374881284 + 194769520929 = 190722^2 + 441327^2 .

It is not a de Polignac number, because 231144402213 - 221 = 231142305061 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231144402253) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2172973 + ... + 2276861.

It is an arithmetic number, because the mean of its divisors is an integer number (13984477065).

Almost surely, 2231144402213 is an apocalyptic number.

It is an amenable number.

231144402213 is a deficient number, since it is larger than the sum of its proper divisors (104483047347).

231144402213 is a wasteful number, since it uses less digits than its factorization.

231144402213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105189 (or 105186 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 231144402213 its reverse (312204441132), we get a palindrome (543348843345).

The spelling of 231144402213 in words is "two hundred thirty-one billion, one hundred forty-four million, four hundred two thousand, two hundred thirteen".

Divisors: 1 3 9 233 699 1061 2097 3183 9549 103889 247213 311667 741639 935001 2224917 24206137 72618411 110226229 217855233 330678687 992036061 25682711357 77048134071 231144402213