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542225012031 = 3417463850481
BaseRepresentation
bin1111110001111110010…
…00010001010100111111
31220211120121000120110000
413320333020101110333
532340434100341111
61053032243445343
754113561361603
oct7707710212477
91824517016400
10542225012031
11199a57979a5a
1289106086853
133c19317b4b1
141c35b0dd503
15e187b27c56
hex7e3f21153f

542225012031 has 40 divisors (see below), whose sum is σ = 859490305344. Its totient is φ = 339484400640.

The previous prime is 542225012027. The next prime is 542225012033. The reversal of 542225012031 is 130210522245.

542225012031 is a `hidden beast` number, since 542 + 22 + 50 + 1 + 20 + 31 = 666.

It is not a de Polignac number, because 542225012031 - 22 = 542225012027 is a prime.

It is a super-2 number, since 2×5422250120312 (a number of 24 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 = 542225011986 and 542225012004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542225012033) 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 39 ways as a sum of consecutive naturals, for example, 212311 + ... + 1062791.

Almost surely, 2542225012031 is an apocalyptic number.

542225012031 is a gapful number since it is divisible by the number (51) formed by its first and last digit.

542225012031 is a deficient number, since it is larger than the sum of its proper divisors (317265293313).

542225012031 is a wasteful number, since it uses less digits than its factorization.

542225012031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850973 (or 850964 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 542225012031 its reverse (130210522245), we get a palindrome (672435534276).

The spelling of 542225012031 in words is "five hundred forty-two billion, two hundred twenty-five million, twelve thousand, thirty-one".

Divisors: 1 3 9 17 27 51 81 153 459 463 1377 1389 4167 7871 12501 23613 37503 70839 212517 637551 850481 2551443 7654329 14458177 22962987 43374531 68888961 130123593 390370779 393772703 1171112337 1181318109 3543954327 6694135951 10631862981 20082407853 31895588943 60247223559 180741670677 542225012031