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102320031 = 311231131193
BaseRepresentation
bin1100001100101…
…00011110011111
321010112101200210
412012110132133
5202143220111
614053023503
72351464062
oct606243637
9233471623
10102320031
1152836610
122a324b93
13182767c8
14d8368d9
158eb20a6
hex619479f

102320031 has 32 divisors (see below), whose sum is σ = 156805632. Its totient is φ = 58741760.

The previous prime is 102320021. The next prime is 102320083. The reversal of 102320031 is 130023201.

It is a happy number.

It is not a de Polignac number, because 102320031 - 214 = 102303647 is a prime.

It is a super-2 number, since 2×1023200312 = 20938777487681922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102319989 and 102320016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102320011) 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, 85171 + ... + 86363.

It is an arithmetic number, because the mean of its divisors is an integer number (4900176).

Almost surely, 2102320031 is an apocalyptic number.

102320031 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102320031 is a deficient number, since it is larger than the sum of its proper divisors (54485601).

102320031 is a wasteful number, since it uses less digits than its factorization.

102320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1343.

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 102320031 is about 10115.3364254482. The cubic root of 102320031 is about 467.7210195355.

Adding to 102320031 its reverse (130023201), we get a palindrome (232343232).

The spelling of 102320031 in words is "one hundred two million, three hundred twenty thousand, thirty-one".

Divisors: 1 3 11 23 33 69 113 253 339 759 1193 1243 2599 3579 3729 7797 13123 27439 28589 39369 82317 85767 134809 301829 404427 905487 1482899 3100607 4448697 9301821 34106677 102320031