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10041242412033 = 3274110333763247
BaseRepresentation
bin1001001000011110100010…
…1011111110010000000001
31022112221012110002212020100
42102013220223332100001
52304003431024141113
633204514425033013
72054312230145520
oct222075053762001
938487173085210
1010041242412033
113221515626668
121162087925769
1357ab67731921
14269dda70a4b7
151262e0a41d73
hex921e8afe401

10041242412033 has 48 divisors (see below), whose sum is σ = 16996754750976. Its totient is φ = 5592484615680.

The previous prime is 10041242412029. The next prime is 10041242412037. The reversal of 10041242412033 is 33021424214001.

10041242412033 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 1 + 242 + 412 + 0 + 3 + 3 = 666.

It is an interprime number because it is at equal distance from previous prime (10041242412029) and next prime (10041242412037).

It is not a de Polignac number, because 10041242412033 - 22 = 10041242412029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10041242411988 and 10041242412006.

It is not an unprimeable number, because it can be changed into a prime (10041242412037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 786616 + ... + 4549862.

It is an arithmetic number, because the mean of its divisors is an integer number (354099057312).

Almost surely, 210041242412033 is an apocalyptic number.

It is an amenable number.

10041242412033 is a deficient number, since it is larger than the sum of its proper divisors (6955512338943).

10041242412033 is a wasteful number, since it uses less digits than its factorization.

10041242412033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3764334 (or 3764331 counting only the distinct ones).

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

Adding to 10041242412033 its reverse (33021424214001), we get a palindrome (43062666626034).

The spelling of 10041242412033 in words is "ten trillion, forty-one billion, two hundred forty-two million, four hundred twelve thousand, thirty-three".

Divisors: 1 3 7 9 21 41 63 123 287 369 861 1033 2583 3099 7231 9297 21693 42353 65079 127059 296471 381177 889413 2668239 3763247 11289741 26342729 33869223 79028187 154293127 237084561 462879381 1080051889 1388638143 3240155667 3887434151 9720467001 11662302453 27212039057 34986907359 81636117171 159384800191 244908351513 478154400573 1115693601337 1434463201719 3347080804011 10041242412033