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103031016 = 233112172087
BaseRepresentation
bin1100010010000…
…10000011101000
321011212111222120
412021002003220
5202333443031
614120151240
72360514654
oct611020350
9234774876
10103031016
1153181800
122a608520
13184652ca
14d97da64
1590a2a96
hex62420e8

103031016 has 96 divisors (see below), whose sum is σ = 299920320. Its totient is φ = 29370880.

The previous prime is 103030973. The next prime is 103031017. The reversal of 103031016 is 610130301.

It is a super-3 number, since 3×1030310163 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103030986 and 103031004.

It is not an unprimeable number, because it can be changed into a prime (103031017) 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, 48325 + ... + 50411.

It is an arithmetic number, because the mean of its divisors is an integer number (3124170).

Almost surely, 2103031016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103031016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149960160).

103031016 is an abundant number, since it is smaller than the sum of its proper divisors (196889304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103031016 is a wasteful number, since it uses less digits than its factorization.

103031016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2135 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 103031016 is about 10150.4194987202. The cubic root of 103031016 is about 468.8018614975.

Adding to 103031016 its reverse (610130301), we get a palindrome (713161317).

The spelling of 103031016 in words is "one hundred three million, thirty-one thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 17 22 24 33 34 44 51 66 68 88 102 121 132 136 187 204 242 264 363 374 408 484 561 726 748 968 1122 1452 1496 2057 2087 2244 2904 4114 4174 4488 6171 6261 8228 8348 12342 12522 16456 16696 22957 24684 25044 35479 45914 49368 50088 68871 70958 91828 106437 137742 141916 183656 212874 252527 275484 283832 390269 425748 505054 550968 757581 780538 851496 1010108 1170807 1515162 1561076 2020216 2341614 3030324 3122152 4292959 4683228 6060648 8585918 9366456 12878877 17171836 25757754 34343672 51515508 103031016