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103117020 = 223567113227
BaseRepresentation
bin1100010010101…
…11000011011100
321012000212221220
412021113003130
5202344221040
614122053340
72361323466
oct611270334
9235025856
10103117020
1153230386
122a64a250
13184954b6
14d9a3136
1590bd2d0
hex62570dc

103117020 has 96 divisors (see below), whose sum is σ = 296932608. Its totient is φ = 26729472.

The previous prime is 103116973. The next prime is 103117033. The reversal of 103117020 is 20711301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 454147 + ... + 454373.

It is an arithmetic number, because the mean of its divisors is an integer number (3093048).

Almost surely, 2103117020 is an apocalyptic number.

103117020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103117020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148466304).

103117020 is an abundant number, since it is smaller than the sum of its proper divisors (193815588).

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

103117020 is a wasteful number, since it uses less digits than its factorization.

103117020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 15.

The square root of 103117020 is about 10154.6550901545. The cubic root of 103117020 is about 468.9322676072.

Adding to 103117020 its reverse (20711301), we get a palindrome (123828321).

The spelling of 103117020 in words is "one hundred three million, one hundred seventeen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 113 134 201 226 227 268 335 339 402 452 454 565 670 678 681 804 908 1005 1130 1135 1340 1356 1362 1695 2010 2260 2270 2724 3390 3405 4020 4540 6780 6810 7571 13620 15142 15209 22713 25651 30284 30418 37855 45426 45627 51302 60836 75710 76045 76953 90852 91254 102604 113565 128255 151420 152090 153906 182508 227130 228135 256510 304180 307812 384765 454260 456270 513020 769530 912540 1539060 1718617 3437234 5155851 6874468 8593085 10311702 17186170 20623404 25779255 34372340 51558510 103117020