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20413324130051 = 1967479199916747
BaseRepresentation
bin1001010010000110110001…
…11011101111011100000011
32200021111100122201210221202
410221003120323233130003
510133422441434130201
6111225430204411415
74204546126120046
oct451033073573403
980244318653852
1020413324130051
11656027332a566
1223582a4b46b6b
13b50c781bcaa8
1450801dc40c5d
15255ee63a9c6b
hex1290d8eef703

20413324130051 has 32 divisors (see below), whose sum is σ = 21866188800000. Its totient is φ = 18999882186912.

The previous prime is 20413324130033. The next prime is 20413324130053. The reversal of 20413324130051 is 15003142331402.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20413324130051 is a prime.

It is a super-2 number, since 2×204133241300512 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 20413324129996 and 20413324130023.

It is not an unprimeable number, because it can be changed into a prime (20413324130053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1218915860 + ... + 1218932606.

It is an arithmetic number, because the mean of its divisors is an integer number (683318400000).

Almost surely, 220413324130051 is an apocalyptic number.

20413324130051 is a deficient number, since it is larger than the sum of its proper divisors (1452864669949).

20413324130051 is a wasteful number, since it uses less digits than its factorization.

20413324130051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19311.

The product of its (nonzero) digits is 8640, while the sum is 29.

Adding to 20413324130051 its reverse (15003142331402), we get a palindrome (35416466461453).

The spelling of 20413324130051 in words is "twenty trillion, four hundred thirteen billion, three hundred twenty-four million, one hundred thirty thousand, fifty-one".

Divisors: 1 19 67 479 1273 1999 9101 16747 32093 37981 133933 318193 609767 957521 1122049 2544727 8021813 18192899 21318931 33477253 64153907 152414447 537461471 636067807 1218924233 2242975951 10211767949 16035604187 42616543069 304676479553 1074385480529 20413324130051