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103030200 = 2332527131737
BaseRepresentation
bin1100010010000…
…01110110111000
321011212110212100
412021001312320
5202333431300
614120143400
72360512410
oct611016670
9234773770
10103030200
1153181129
122a607b60
1318464b20
14d97d640
1590a2700
hex6241db8

103030200 has 576 divisors, whose sum is σ = 463095360. Its totient is φ = 19906560.

The previous prime is 103030189. The next prime is 103030211. The reversal of 103030200 is 2030301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103030189) and next prime (103030211).

It is a super-2 number, since 2×1030302002 = 21230444224080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 143 ways as a sum of consecutive naturals, for example, 2784582 + ... + 2784618.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2103030200 is an apocalyptic number.

103030200 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 103030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231547680).

103030200 is an abundant number, since it is smaller than the sum of its proper divisors (360065160).

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

103030200 is a wasteful number, since it uses less digits than its factorization.

103030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 103030200 is about 10150.3793032576. The cubic root of 103030200 is about 468.8006238659.

Adding to 103030200 its reverse (2030301), we get a palindrome (105060501).

The spelling of 103030200 in words is "one hundred three million, thirty thousand, two hundred".