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242223041000031 = 37137112496674457
BaseRepresentation
bin110111000100110011110010…
…010100001011001001011111
31011202122022000012101200101220
4313010303302110023021133
5223222040241444000111
62215055421233304423
7102010015522164540
oct6704636224131137
91152568005350356
10242223041000031
11701a823a9a2793
1223200546405113
13a5206c4b22ab0
1443b592cb924c7
151d00b9ce1ae06
hexdc4cf250b25f

242223041000031 has 32 divisors (see below), whose sum is σ = 403092731317248. Its totient is φ = 125966478516480.

The previous prime is 242223041000029. The next prime is 242223041000047. The reversal of 242223041000031 is 130000140322242.

It is a happy number.

It is not a de Polignac number, because 242223041000031 - 21 = 242223041000029 is a prime.

It is a super-2 number, since 2×2422230410000312 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 242223040999965 and 242223041000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242223041000231) 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, 6248317846 + ... + 6248356611.

It is an arithmetic number, because the mean of its divisors is an integer number (12596647853664).

Almost surely, 2242223041000031 is an apocalyptic number.

242223041000031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

242223041000031 is a deficient number, since it is larger than the sum of its proper divisors (160869690317217).

242223041000031 is a wasteful number, since it uses less digits than its factorization.

242223041000031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12496674551.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 242223041000031 its reverse (130000140322242), we get a palindrome (372223181322273).

The spelling of 242223041000031 in words is "two hundred forty-two trillion, two hundred twenty-three billion, forty-one million, thirty-one", and thus it is an aban number.

Divisors: 1 3 7 13 21 39 71 91 213 273 497 923 1491 2769 6461 19383 12496674457 37490023371 87476721199 162456767941 262430163597 487370303823 887263886447 1137197375587 2661791659341 3411592126761 6210847205129 11534430523811 18632541615387 34603291571433 80741013666677 242223041000031