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42123134331 = 3216385933427
BaseRepresentation
bin100111001110101111…
…000000010101111011
311000201122002221021100
4213032233000111323
51142232010244311
631203500542443
73020564506545
oct471657002573
9130648087240
1042123134331
1116956458313
1281b6b51a23
133c83bb0375
14207855a695
1511680bda56
hex9cebc057b

42123134331 has 24 divisors (see below), whose sum is σ = 61290906560. Its totient is φ = 27876481776.

The previous prime is 42123134303. The next prime is 42123134351. The reversal of 42123134331 is 13343132124.

It is a happy number.

42123134331 is a `hidden beast` number, since 4 + 2 + 12 + 313 + 4 + 331 = 666.

It is not a de Polignac number, because 42123134331 - 211 = 42123132283 is a prime.

It is a super-2 number, since 2×421231343312 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 42123134295 and 42123134304.

It is not an unprimeable number, because it can be changed into a prime (42123134351) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1243440 + ... + 1276866.

Almost surely, 242123134331 is an apocalyptic number.

42123134331 is a deficient number, since it is larger than the sum of its proper divisors (19167772229).

42123134331 is a wasteful number, since it uses less digits than its factorization.

42123134331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34455 (or 34452 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 42123134331 its reverse (13343132124), we get a palindrome (55466266455).

The spelling of 42123134331 in words is "forty-two billion, one hundred twenty-three million, one hundred thirty-four thousand, three hundred thirty-one".

Divisors: 1 3 9 163 489 859 1467 2577 7731 33427 100281 140017 300843 420051 1260153 5448601 16345803 28713793 49037409 86141379 258424137 4680348259 14041044777 42123134331