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1310200020300 = 2235253199414083
BaseRepresentation
bin10011000100001110000…
…000011011110101001100
311122020212002111011121210
4103010032000123311030
5132431242201122200
62441521513254420
7163441656264033
oct23041600336514
94566762434553
101310200020300
1146571a833436
12191b13404410
1396722378202
14475b20d771a
1524134643650
hex1310e01bd4c

1310200020300 has 144 divisors (see below), whose sum is σ = 3881789049600. Its totient is φ = 341071061760.

The previous prime is 1310200020281. The next prime is 1310200020317. The reversal of 1310200020300 is 30200020131.

It is a happy number.

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

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 47 ways as a sum of consecutive naturals, for example, 2957059 + ... + 3371141.

It is an arithmetic number, because the mean of its divisors is an integer number (26956868400).

Almost surely, 21310200020300 is an apocalyptic number.

1310200020300 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 1310200020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940894524800).

1310200020300 is an abundant number, since it is smaller than the sum of its proper divisors (2571589029300).

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

1310200020300 is a wasteful number, since it uses less digits than its factorization.

1310200020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414352 (or 414345 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 1310200020300 its reverse (30200020131), we get a palindrome (1340400040431).

The spelling of 1310200020300 in words is "one trillion, three hundred ten billion, two hundred million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 199 212 265 300 318 398 530 597 636 795 796 995 1060 1194 1325 1590 1990 2388 2650 2985 3180 3975 3980 4975 5300 5970 7950 9950 10547 11940 14925 15900 19900 21094 29850 31641 42188 52735 59700 63282 105470 126564 158205 210940 263675 316410 414083 527350 632820 791025 828166 1054700 1242249 1582050 1656332 2070415 2484498 3164100 4140830 4968996 6211245 8281660 10352075 12422490 20704150 21946399 24844980 31056225 41408300 43892798 62112450 65839197 82402517 87785596 109731995 124224900 131678394 164805034 219463990 247207551 263356788 329195985 329610068 412012585 438927980 494415102 548659975 658391970 824025170 988830204 1097319950 1236037755 1316783940 1645979925 1648050340 2060062925 2194639900 2472075510 3291959850 4120125850 4367333401 4944151020 6180188775 6583919700 8240251700 8734666802 12360377550 13102000203 17469333604 21836667005 24720755100 26204000406 43673334010 52408000812 65510001015 87346668020 109183335025 131020002030 218366670050 262040004060 327550005075 436733340100 655100010150 1310200020300