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11241134413002 = 23213811234125303
BaseRepresentation
bin1010001110010100011111…
…0100101101010011001010
31110210122022222121001101200
42203211013310231103022
52433133320402204002
635524034510525030
72240100534652554
oct243450764552312
943718288531350
1011241134413002
11364437a35845a
121316735206776
1363705a834c80
142ac1067604d4
1514761aee7b1c
hexa3947d2d4ca

11241134413002 has 96 divisors (see below), whose sum is σ = 26273912036736. Its totient is φ = 3452933577600.

The previous prime is 11241134412961. The next prime is 11241134413049. The reversal of 11241134413002 is 20031443114211.

It is a happy number.

11241134413002 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 11 + 344 + 1 + 300 + 2 = 666.

11241134413002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×112411344130023 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 444248283 + ... + 444273585.

It is an arithmetic number, because the mean of its divisors is an integer number (273686583716).

Almost surely, 211241134413002 is an apocalyptic number.

11241134413002 is an abundant number, since it is smaller than the sum of its proper divisors (15032777623734).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11241134413002 is a wasteful number, since it uses less digits than its factorization.

11241134413002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28476 (or 28473 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 11241134413002 its reverse (20031443114211), we get a palindrome (31272577527213).

The spelling of 11241134413002 in words is "eleven trillion, two hundred forty-one billion, one hundred thirty-four million, four hundred thirteen thousand, two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 811 1622 2341 2433 4682 4866 7023 7299 10543 14046 14598 21069 21086 25303 30433 31629 42138 50606 60866 63258 75909 91299 94887 151818 182598 189774 227727 273897 328939 455454 547794 657878 986817 1898551 1973634 2960451 3797102 5695653 5920902 11391306 17086959 20520733 24681163 34173918 41041466 49362326 59234323 61562199 74043489 118468646 123124398 148086978 177702969 184686597 222130467 266769529 355405938 369373194 444260934 533108907 533539058 770046199 800308587 1066217814 1540092398 1600617174 2310138597 2400925761 4620277194 4801851522 6930415791 13860831582 48039035953 96078071906 144117107859 288234215718 432351323577 624507467389 864702647154 1249014934778 1873522402167 3747044804334 5620567206501 11241134413002