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103010313200200 = 23527210511256449
BaseRepresentation
bin10111011010111111110101…
…001000000110001001001000
3111111201200121211200122202121
4113122333311020012021020
5102000210110134401300
61003030141245541024
730461151406146400
oct2732776510061110
9444650554618677
10103010313200200
112a9054793678aa
12b678109574774
134562aa5503473
141b61a236b9800
15bd980463b81a
hex5daff5206248

103010313200200 has 72 divisors (see below), whose sum is σ = 278600852207250. Its totient is φ = 35317821665280.

The previous prime is 103010313200173. The next prime is 103010313200219. The reversal of 103010313200200 is 2002313010301.

It can be written as a sum of positive squares in 3 ways, for example, as 89956992208356 + 13053320991844 = 9484566^2 + 3612938^2 .

It is a super-2 number, since 2×1030103132002002 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5255618425 + ... + 5255638024.

Almost surely, 2103010313200200 is an apocalyptic number.

103010313200200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103010313200200 is an abundant number, since it is smaller than the sum of its proper divisors (175590539007050).

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

103010313200200 is a wasteful number, since it uses less digits than its factorization.

103010313200200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10511256479 (or 10511256463 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 103010313200200 its reverse (2002313010301), we get a palindrome (105012626210501).

The spelling of 103010313200200 in words is "one hundred three trillion, ten billion, three hundred thirteen million, two hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 10511256449 21022512898 42045025796 52556282245 73578795143 84090051592 105112564490 147157590286 210225128980 262781411225 294315180572 367893975715 420450257960 515051566001 525562822450 588630361144 735787951430 1030103132002 1051125644900 1471575902860 1839469878575 2060206264004 2102251289800 2575257830005 2943151805720 3678939757150 4120412528008 5150515660010 7357879514300 10301031320020 12876289150025 14715759028600 20602062640040 25752578300050 51505156600100 103010313200200