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20041012441131 = 3114171691730161
BaseRepresentation
bin1001000111010001010010…
…11011010111000000101011
32121221220100121121101021220
410203220221123113000223
510111322443141104011
6110342414121033123
74135625654021043
oct443505133270053
977856317541256
1020041012441131
116427389067090
1222b80ba6257a3
13b24b2303b196
144d3dc1094723
1524b4a56aa506
hex123a296d702b

20041012441131 has 64 divisors (see below), whose sum is σ = 30287520248832. Its totient is φ = 11680847360000.

The previous prime is 20041012441127. The next prime is 20041012441217. The reversal of 20041012441131 is 13114421014002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20041012441131 - 22 = 20041012441127 is a prime.

It is a super-2 number, since 2×200410124411312 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20041012461131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 664452691 + ... + 664482851.

It is an arithmetic number, because the mean of its divisors is an integer number (473242503888).

Almost surely, 220041012441131 is an apocalyptic number.

20041012441131 is a deficient number, since it is larger than the sum of its proper divisors (10246507807701).

20041012441131 is a wasteful number, since it uses less digits than its factorization.

20041012441131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37204.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 20041012441131 its reverse (13114421014002), we get a palindrome (33155433455133).

The spelling of 20041012441131 in words is "twenty trillion, forty-one billion, twelve million, four hundred forty-one thousand, one hundred thirty-one".

Divisors: 1 3 11 33 41 71 123 213 451 781 1353 2343 2911 6917 8733 20751 30161 32021 76087 90483 96063 228261 283597 331771 491107 850791 995313 1236601 1473321 2141431 3119567 3709803 5402177 6424293 9358701 13602611 16206531 20135387 23555741 40807833 60406161 70667223 87798671 208623637 221489257 263396013 625870911 664467771 965785381 2294860007 2897356143 6884580021 8553569117 14812278227 25660707351 44436834681 94089260287 162935060497 282267780861 488805181491 607303407307 1821910221921 6680337480377 20041012441131