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20042041412133 = 3313743156749043
BaseRepresentation
bin1001000111010011001101…
…10000100100101000100101
32121222000000022210112011000
410203221212300210220211
510111332100100142013
6110343104155303513
74135663320103356
oct443514660445045
977860008715130
1020042041412133
116427866978244
1222b834714ab99
13b24c5827cb70
144d407b9c3d2d
1524b515bb0973
hex123a66c24a25

20042041412133 has 64 divisors (see below), whose sum is σ = 32040029306880. Its totient is φ = 12308853057984.

The previous prime is 20042041412123. The next prime is 20042041412153. The reversal of 20042041412133 is 33121414024002.

20042041412133 is a `hidden beast` number, since 20 + 0 + 420 + 4 + 1 + 4 + 1 + 213 + 3 = 666.

It is not a de Polignac number, because 20042041412133 - 25 = 20042041412101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20042041412097 and 20042041412106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042041412123) 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 63 ways as a sum of consecutive naturals, for example, 408638110 + ... + 408687152.

It is an arithmetic number, because the mean of its divisors is an integer number (500625457920).

Almost surely, 220042041412133 is an apocalyptic number.

It is an amenable number.

20042041412133 is a deficient number, since it is larger than the sum of its proper divisors (11997987894747).

20042041412133 is a wasteful number, since it uses less digits than its factorization.

20042041412133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51375 (or 51369 counting only the distinct ones).

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

Adding to 20042041412133 its reverse (33121414024002), we get a palindrome (53163455436135).

The spelling of 20042041412133 in words is "twenty trillion, forty-two billion, forty-one million, four hundred twelve thousand, one hundred thirty-three".

Divisors: 1 3 9 13 27 39 117 351 743 1567 2229 4701 6687 9659 14103 20061 20371 28977 42309 49043 61113 86931 147129 183339 260793 441387 550017 637559 1164281 1324161 1912677 3492843 5738031 10478529 15135653 17214093 31435587 36438949 45406959 76850381 109316847 136220877 230551143 327950541 408662631 473706337 691653429 983851623 999054953 1421119011 2074960287 2997164859 4263357033 8991494577 12790071099 26974483731 57099833083 171299499249 513898497747 742297830079 1541695493241 2226893490237 6680680470711 20042041412133