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103125000 = 2335811
BaseRepresentation
bin1100010010110…
…01000000001000
321012001021220110
412021121000020
5202400000000
614122154320
72361355656
oct611310010
9235037813
10103125000
1153236380
122a6529a0
1318499014
14d9a5dd6
1590c0850
hex6259008

103125000 has 144 divisors (see below), whose sum is σ = 351562320. Its totient is φ = 25000000.

The previous prime is 103124999. The next prime is 103125007. The reversal of 103125000 is 521301.

It is a hoax number, since the sum of its digits (12) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (103125007) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 9374995 + ... + 9375005.

It is an arithmetic number, because the mean of its divisors is an integer number (2441405).

Almost surely, 2103125000 is an apocalyptic number.

103125000 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 103125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175781160).

103125000 is an abundant number, since it is smaller than the sum of its proper divisors (248437320).

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

103125000 is an frugal number, since it uses more digits than its factorization.

103125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 103125000 is about 10155.0480057950. The cubic root of 103125000 is about 468.9443638417.

Adding to 103125000 its reverse (521301), we get a palindrome (103646301).

The spelling of 103125000 in words is "one hundred three million, one hundred twenty-five thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 125 132 150 165 200 220 250 264 275 300 330 375 440 500 550 600 625 660 750 825 1000 1100 1250 1320 1375 1500 1650 1875 2200 2500 2750 3000 3125 3300 3750 4125 5000 5500 6250 6600 6875 7500 8250 9375 11000 12500 13750 15000 15625 16500 18750 20625 25000 27500 31250 33000 34375 37500 41250 46875 55000 62500 68750 75000 78125 82500 93750 103125 125000 137500 156250 165000 171875 187500 206250 234375 275000 312500 343750 375000 390625 412500 468750 515625 625000 687500 781250 825000 859375 937500 1031250 1171875 1375000 1562500 1718750 1875000 2062500 2343750 2578125 3125000 3437500 4125000 4296875 4687500 5156250 6875000 8593750 9375000 10312500 12890625 17187500 20625000 25781250 34375000 51562500 103125000