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504041122233021 = 3171131087178345127
BaseRepresentation
bin111001010011011000011100…
…0000010101111101010111101
32110002122212020110000020011010
41302212300320002233222331
51012031202204242424041
64544001143411545433
7211111524613244142
oct16246607002575275
92402585213006133
10504041122233021
1113666a7041a278a
1248646667bbb279
1318832b48ba8289
148c67a130123c9
153d413edb68a16
hex1ca6c380afabd

504041122233021 has 64 divisors (see below), whose sum is σ = 718964057899008. Its totient is φ = 312991371399168.

The previous prime is 504041122233017. The next prime is 504041122233029. The reversal of 504041122233021 is 120332221140405.

It is a happy number.

It is not a de Polignac number, because 504041122233021 - 22 = 504041122233017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 504041122233021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (504041122233029) 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, 11169368760 + ... + 11169413886.

It is an arithmetic number, because the mean of its divisors is an integer number (11233813404672).

Almost surely, 2504041122233021 is an apocalyptic number.

504041122233021 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

It is an amenable number.

504041122233021 is a deficient number, since it is larger than the sum of its proper divisors (214922935665987).

504041122233021 is a wasteful number, since it uses less digits than its factorization.

504041122233021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48130.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 504041122233021 its reverse (120332221140405), we get a palindrome (624373343373426).

The spelling of 504041122233021 in words is "five hundred four trillion, forty-one billion, one hundred twenty-two million, two hundred thirty-three thousand, twenty-one".

Divisors: 1 3 17 51 113 339 1087 1783 1921 3261 5349 5763 18479 30311 45127 55437 90933 122831 135381 201479 368493 604437 767159 1938121 2088127 2301477 3425143 5099351 5814363 6264381 10275429 15298053 32948057 49053049 80461441 86688967 98844171 147159147 219007673 241384323 260066901 657023019 833901833 1367844497 2501705499 3723130441 4103533491 5542994537 9092142833 11169391323 16628983611 27276428499 87461586367 94230907129 154566428161 262384759101 282692721387 463699284483 1486846968239 4460540904717 9883159259471 29649477778413 168013707411007 504041122233021