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1330240202343 = 321397271617701
BaseRepresentation
bin10011010110111000011…
…111101010011001100111
311201011120201121220021100
4103112320133222121213
5133243312442433333
62455034240051143
7165051410104533
oct23267037523147
94634521556240
101330240202343
11473173a07858
12195986903ab3
13985971814b0
144855387cbc3
1524908b9a213
hex135b87ea667

1330240202343 has 96 divisors (see below), whose sum is σ = 2104708499712. Its totient is φ = 804722688000.

The previous prime is 1330240202321. The next prime is 1330240202371. The reversal of 1330240202343 is 3432020420331.

1330240202343 is a `hidden beast` number, since 13 + 302 + 4 + 0 + 2 + 0 + 2 + 343 = 666.

It is not a de Polignac number, because 1330240202343 - 28 = 1330240202087 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1330240202243) 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, 1897631893 + ... + 1897632593.

It is an arithmetic number, because the mean of its divisors is an integer number (21924046872).

Almost surely, 21330240202343 is an apocalyptic number.

1330240202343 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1330240202343 is a deficient number, since it is larger than the sum of its proper divisors (774468297369).

1330240202343 is a wasteful number, since it uses less digits than its factorization.

1330240202343 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1705 (or 1702 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1330240202343 its reverse (3432020420331), we get a palindrome (4762260622674).

The spelling of 1330240202343 in words is "one trillion, three hundred thirty billion, two hundred forty million, two hundred two thousand, three hundred forty-three".

Divisors: 1 3 9 13 39 97 117 271 291 617 701 813 873 1261 1851 2103 2439 3523 3783 5553 6309 8021 9113 10569 11349 24063 26287 27339 31707 59849 67997 72189 78861 82017 167207 179547 189971 203991 236583 341731 432517 501621 538641 569913 611973 778037 883961 1025193 1297551 1504863 1709739 2173691 2334111 2469623 2651883 3075579 3892653 5622721 6521073 7002333 7408869 7955649 16219079 16868163 18427187 19563219 22226607 41954149 48657237 50604489 55281561 117212107 125862447 145971711 165844683 210848027 239553431 351636321 377587341 545403937 632544081 718660293 1054908963 1523757391 1636211811 1897632243 2155980879 4571272173 4908635433 11369574379 13713816519 34108723137 102326169411 147804466927 443413400781 1330240202343