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103010300 = 225273103137
BaseRepresentation
bin1100010001111…
…00111111111100
321011211110120022
412020330333330
5202332312200
614115511312
72360400401
oct610747774
9234743508
10103010300
1153168188
122a5b8538
1318458a53
14d9762a8
15909b885
hex623cffc

103010300 has 72 divisors (see below), whose sum is σ = 230464416. Its totient is φ = 39951360.

The previous prime is 103010287. The next prime is 103010317. The reversal of 103010300 is 3010301.

It is a super-2 number, since 2×1030103002 = 21222243812180000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 751832 + ... + 751968.

Almost surely, 2103010300 is an apocalyptic number.

103010300 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 103010300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115232208).

103010300 is an abundant number, since it is smaller than the sum of its proper divisors (127454116).

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

103010300 is a wasteful number, since it uses less digits than its factorization.

103010300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 8.

The square root of 103010300 is about 10149.3989969850. The cubic root of 103010300 is about 468.7704394050.

Adding to 103010300 its reverse (3010301), we get a palindrome (106020601).

Subtracting from 103010300 its reverse (3010301), we obtain a palindrome (99999999).

The spelling of 103010300 in words is "one hundred three million, ten thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 103 137 146 206 274 292 365 412 515 548 685 730 1030 1370 1460 1825 2060 2575 2740 3425 3650 5150 6850 7300 7519 10001 10300 13700 14111 15038 20002 28222 30076 37595 40004 50005 56444 70555 75190 100010 141110 150380 187975 200020 250025 282220 352775 375950 500050 705550 751900 1000100 1030103 1411100 2060206 4120412 5150515 10301030 20602060 25752575 51505150 103010300