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42332113031 = 13192371311861
BaseRepresentation
bin100111011011001100…
…001100100010000111
311001021012100011011012
4213123030030202013
51143144010104111
631240324032435
73026013011105
oct473314144207
9131235304135
1042332113031
1116a5341308a
128254b3271b
133cb828c3c0
1420981d8c75
15117b5ed48b
hex9db30c887

42332113031 has 48 divisors (see below), whose sum is σ = 49818450528. Its totient is φ = 35724499200.

The previous prime is 42332113027. The next prime is 42332113037. The reversal of 42332113031 is 13031123324.

It is not a de Polignac number, because 42332113031 - 22 = 42332113027 is a prime.

It is a super-2 number, since 2×423321130312 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42332112988 and 42332113006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42332113037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22746041 + ... + 22747901.

It is an arithmetic number, because the mean of its divisors is an integer number (1037884386).

Almost surely, 242332113031 is an apocalyptic number.

42332113031 is a deficient number, since it is larger than the sum of its proper divisors (7486337497).

42332113031 is a wasteful number, since it uses less digits than its factorization.

42332113031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 42332113031 its reverse (13031123324), we get a palindrome (55363236355).

The spelling of 42332113031 in words is "forty-two billion, three hundred thirty-two million, one hundred thirteen thousand, thirty-one".

Divisors: 1 13 19 37 131 247 361 481 703 1703 1861 2489 4693 4847 9139 13357 24193 32357 35359 47291 63011 68857 92093 173641 243791 459667 614783 671821 895141 1197209 1308283 1749767 3169283 4632029 8733673 9020267 17007679 22746971 24857377 60216377 88008551 117263471 171385073 323145901 1144111163 2228005949 3256316387 42332113031