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30010200 = 23352114547
BaseRepresentation
bin111001001111…
…0101101011000
32002110200020220
41302132231120
530140311300
62551120040
7513040203
oct162365530
962420226
1030010200
1115a38120
12a073020
1362a981c
143db293a
15297bda0
hex1c9eb58

30010200 has 96 divisors (see below), whose sum is σ = 101511360. Its totient is φ = 7273600.

The previous prime is 30010199. The next prime is 30010213. The reversal of 30010200 is 201003.

It is a super-2 number, since 2×300102002 = 1801224208080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4327 + ... + 8873.

It is an arithmetic number, because the mean of its divisors is an integer number (1057410).

Almost surely, 230010200 is an apocalyptic number.

30010200 is a gapful number since it is divisible by the number (30) 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 30010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50755680).

30010200 is an abundant number, since it is smaller than the sum of its proper divisors (71501160).

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

30010200 is a wasteful number, since it uses less digits than its factorization.

30010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4577 (or 4568 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 6.

The square root of 30010200 is about 5478.1566242670. The cubic root of 30010200 is about 310.7584619068.

Adding to 30010200 its reverse (201003), we get a palindrome (30211203).

The spelling of 30010200 in words is "thirty million, ten thousand, two hundred".

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 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 4547 6600 9094 13641 18188 22735 27282 36376 45470 50017 54564 68205 90940 100034 109128 113675 136410 150051 181880 200068 227350 250085 272820 300102 341025 400136 454700 500170 545640 600204 682050 750255 909400 1000340 1200408 1250425 1364100 1500510 2000680 2500850 2728200 3001020 3751275 5001700 6002040 7502550 10003400 15005100 30010200