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313131400344243 = 33132431729192297
BaseRepresentation
bin100011100110010101001010…
…1111000101011001010110011
31112001201001212200101012221000
41013030222111320223022303
5312020321101442003433
63025550325054133043
7122645666002654215
oct10714522570531263
91461631780335830
10313131400344243
11908563101a2738
122b152b684b1183
131059521a104100
1457478d7cc85b5
1526303edc6b113
hex11cca95e2b2b3

313131400344243 has 96 divisors (see below), whose sum is σ = 514045160513280. Its totient is φ = 188202014058240.

The previous prime is 313131400344227. The next prime is 313131400344253. The reversal of 313131400344243 is 342443004131313.

313131400344243 is a `hidden beast` number, since 3 + 1 + 3 + 1 + 3 + 1 + 400 + 3 + 4 + 4 + 243 = 666.

It is not a de Polignac number, because 313131400344243 - 24 = 313131400344227 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 313131400344198 and 313131400344207.

It is not an unprimeable number, because it can be changed into a prime (313131400344253) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3392603671 + ... + 3392695967.

It is an arithmetic number, because the mean of its divisors is an integer number (5354637088680).

Almost surely, 2313131400344243 is an apocalyptic number.

313131400344243 is a deficient number, since it is larger than the sum of its proper divisors (200913760169037).

313131400344243 is a wasteful number, since it uses less digits than its factorization.

313131400344243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109666 (or 109647 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 313131400344243 its reverse (342443004131313), we get a palindrome (655574404475556).

The spelling of 313131400344243 in words is "three hundred thirteen trillion, one hundred thirty-one billion, four hundred million, three hundred forty-four thousand, two hundred forty-three".

Divisors: 1 3 9 13 27 39 43 117 129 169 351 387 507 559 1161 1521 1677 4563 5031 7267 15093 17291 21801 51873 65403 92297 155619 196209 224783 276891 466857 674349 743513 830673 1199861 2023047 2230539 2492019 2922179 3599583 3968771 6069141 6691617 8766537 9665669 10798749 11906313 15598193 20074851 26299611 28997007 32396247 35718939 46794579 51594023 78898833 86991021 107156817 125653697 140383737 154782069 260973063 376961091 421151211 464346207 670722299 1130883273 1393038621 1595907427 2012166897 3392649819 4787722281 6036500691 14363166843 18109502073 20746796551 43089500529 62240389653 68624019361 186721168959 205872058083 269708355163 560163506877 617616174249 809125065489 892112251693 1852848522747 2427375196467 2676336755079 7282125589401 8029010265237 11597459272009 24087030795711 34792377816027 104377133448081 313131400344243