Search a number
-
+
20004311336031 = 3311178737691429
BaseRepresentation
bin1001000110001100111011…
…10111110000010001011111
32121211101121212000001212000
410203012131313300101133
510110222312200223111
6110313504225013343
74133156324540451
oct443063567602137
977741555001760
1020004311336031
116412865268670
1222b0b77484253
13b21524571c49
144d22dca962d1
1524a558608c56
hex12319ddf045f

20004311336031 has 32 divisors (see below), whose sum is σ = 32348292883200. Its totient is φ = 12117040273440.

The previous prime is 20004311336003. The next prime is 20004311336059. The reversal of 20004311336031 is 13063311340002.

20004311336031 is a `hidden beast` number, since 2 + 0 + 0 + 0 + 43 + 1 + 13 + 3 + 603 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (20004311336003) and next prime (20004311336059).

It is not a de Polignac number, because 20004311336031 - 231 = 20002163852383 is a prime.

It is a super-2 number, since 2×200043113360312 (a number of 27 digits) contains 22 as substring.

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 = 20004311335986 and 20004311336004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20004311336431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18314976 + ... + 19376453.

It is an arithmetic number, because the mean of its divisors is an integer number (1010884152600).

Almost surely, 220004311336031 is an apocalyptic number.

20004311336031 is a deficient number, since it is larger than the sum of its proper divisors (12343981547169).

20004311336031 is a wasteful number, since it uses less digits than its factorization.

20004311336031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37693236 (or 37693230 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 20004311336031 its reverse (13063311340002), we get a palindrome (33067622676033).

The spelling of 20004311336031 in words is "twenty trillion, four billion, three hundred eleven million, three hundred thirty-six thousand, thirty-one".

Divisors: 1 3 9 11 27 33 99 297 1787 5361 16083 19657 48249 58971 176913 530739 37691429 113074287 339222861 414605719 1017668583 1243817157 3731451471 11194354413 67354583623 202063750869 606191252607 740900419853 1818573757821 2222701259559 6668103778677 20004311336031