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12010193009393 = 171924614245149
BaseRepresentation
bin1010111011000101011101…
…0010011011101011110001
31120112011102000000122000212
42232301113102123223301
53033233333402300033
641313223445353505
72346464531115035
oct256612722335361
946464360018025
1012010193009393
113910548937707
12141b7a5408895
136917303874a7
142d74216241c5
1515c62cc06748
hexaec5749baf1

12010193009393 has 24 divisors (see below), whose sum is σ = 13450316279400. Its totient is φ = 10685546933760.

The previous prime is 12010193009371. The next prime is 12010193009401. The reversal of 12010193009393 is 39390039101021.

It can be written as a sum of positive squares in 4 ways, for example, as 1698207741409 + 10311985267984 = 1303153^2 + 3211228^2 .

It is not a de Polignac number, because 12010193009393 - 212 = 12010193005297 is a prime.

It is a super-2 number, since 2×120101930093932 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 12010193009393.

It is not an unprimeable number, because it can be changed into a prime (12010193008393) 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, 706583 + ... + 4951731.

It is an arithmetic number, because the mean of its divisors is an integer number (560429844975).

Almost surely, 212010193009393 is an apocalyptic number.

It is an amenable number.

12010193009393 is a deficient number, since it is larger than the sum of its proper divisors (1440123270007).

12010193009393 is a wasteful number, since it uses less digits than its factorization.

12010193009393 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4245665 (or 4245646 counting only the distinct ones).

The product of its (nonzero) digits is 39366, while the sum is 41.

The spelling of 12010193009393 in words is "twelve trillion, ten billion, one hundred ninety-three million, nine thousand, three hundred ninety-three".

Divisors: 1 17 19 323 361 461 6137 7837 8759 148903 166421 2829157 4245149 72167533 80657831 1371183127 1532498789 1957013689 26052479413 33269232713 37183260091 632115421547 706481941729 12010193009393