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103171380 = 223513349379
BaseRepresentation
bin1100010011001…
…00010100110100
321012010122112020
412021210110310
5202402441010
614123153140
72361641124
oct611442464
9235118466
10103171380
1153268204
122a6757b0
13184b4170
14d9b8c84
1590ce470
hex6264534

103171380 has 96 divisors (see below), whose sum is σ = 312816000. Its totient is φ = 25256448.

The previous prime is 103171363. The next prime is 103171403. The reversal of 103171380 is 83171301.

It is a super-2 number, since 2×1031713802 = 21288667302208800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103171380.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 272031 + ... + 272409.

It is an arithmetic number, because the mean of its divisors is an integer number (3258500).

Almost surely, 2103171380 is an apocalyptic number.

103171380 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 103171380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156408000).

103171380 is an abundant number, since it is smaller than the sum of its proper divisors (209644620).

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

103171380 is a wasteful number, since it uses less digits than its factorization.

103171380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 753 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 103171380 is about 10157.3313424344. The cubic root of 103171380 is about 469.0146551704.

The spelling of 103171380 in words is "one hundred three million, one hundred seventy-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 349 379 390 698 758 780 1047 1137 1396 1516 1745 1895 2094 2274 3490 3790 4188 4537 4548 4927 5235 5685 6980 7580 9074 9854 10470 11370 13611 14781 18148 19708 20940 22685 22740 24635 27222 29562 45370 49270 54444 59124 68055 73905 90740 98540 132271 136110 147810 264542 272220 295620 396813 529084 661355 793626 1322710 1587252 1719523 1984065 2645420 3439046 3968130 5158569 6878092 7936260 8597615 10317138 17195230 20634276 25792845 34390460 51585690 103171380