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102014031 = 37399139
BaseRepresentation
bin1100001010010…
…01110001001111
321002221211221110
412011021301033
5202103422111
614042303103
72346051000
oct605116117
9232854843
10102014031
1152647719
122a1b7a93
131819a442
14d7971a7
158e515a6
hex6149c4f

102014031 has 16 divisors (see below), whose sum is σ = 158624000. Its totient is φ = 58293144.

The previous prime is 102013987. The next prime is 102014041. The reversal of 102014031 is 130410201.

It is a happy number.

It is not a de Polignac number, because 102014031 - 29 = 102013519 is a prime.

It is a super-2 number, since 2×1020140312 = 20813725041737922, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102013998 and 102014016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102014041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48541 + ... + 50598.

It is an arithmetic number, because the mean of its divisors is an integer number (9914000).

Almost surely, 2102014031 is an apocalyptic number.

102014031 is a deficient number, since it is larger than the sum of its proper divisors (56609969).

102014031 is an frugal number, since it uses more digits than its factorization.

102014031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99163 (or 99149 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 102014031 is about 10100.1995524841. The cubic root of 102014031 is about 467.2542958547.

Adding to 102014031 its reverse (130410201), we get a palindrome (232424232).

It can be divided in two parts, 1020 and 14031, that added together give a palindrome (15051).

The spelling of 102014031 in words is "one hundred two million, fourteen thousand, thirty-one".

Divisors: 1 3 7 21 49 147 343 1029 99139 297417 693973 2081919 4857811 14573433 34004677 102014031