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1303303031310 = 235747611321601
BaseRepresentation
bin10010111101110010111…
…010100000101000001110
311121121001102120211101010
4102331302322200220032
5132323131034000220
62434421255030050
7163106030660310
oct22756272405016
94547042524333
101303303031310
11462800647535
1219070966b326
1395b934cb437
144711a1137b0
1523d7ddc61e0
hex12f72ea0a0e

1303303031310 has 128 divisors (see below), whose sum is σ = 3651599314944. Its totient is φ = 291498393600.

The previous prime is 1303303031279. The next prime is 1303303031321. The reversal of 1303303031310 is 131303033031.

It is a super-2 number, since 2×13033030313102 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 60324510 + ... + 60346110.

It is an arithmetic number, because the mean of its divisors is an integer number (28528119648).

Almost surely, 21303303031310 is an apocalyptic number.

1303303031310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303303031310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825799657472).

1303303031310 is an abundant number, since it is smaller than the sum of its proper divisors (2348296283634).

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

1303303031310 is a wasteful number, since it uses less digits than its factorization.

1303303031310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27778.

The product of its (nonzero) digits is 729, while the sum is 21.

Adding to 1303303031310 its reverse (131303033031), we get a palindrome (1434606064341).

The spelling of 1303303031310 in words is "one trillion, three hundred three billion, three hundred three million, thirty-one thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 210 235 282 329 470 658 705 987 1410 1645 1974 3290 4935 6113 9870 12226 18339 21601 30565 36678 42791 43202 61130 64803 85582 91695 108005 128373 129606 151207 183390 213955 216010 256746 287311 302414 324015 427910 453621 574622 641865 648030 756035 861933 907242 1015247 1283730 1436555 1512070 1723866 2011177 2030494 2268105 2873110 3045741 4022354 4309665 4536210 5076235 6033531 6091482 7106729 8619330 10055885 10152470 12067062 14213458 15228705 20111770 21320187 30167655 30457410 35533645 42640374 60335310 71067290 106600935 132046913 213201870 264093826 396140739 660234565 792281478 924328391 1320469130 1848656782 1980703695 2772985173 3961407390 4621641955 5545970346 6206204911 9243283910 12412409822 13864925865 18618614733 27729851730 31031024555 37237229466 43443434377 62062049110 86886868754 93093073665 130330303131 186186147330 217217171885 260660606262 434434343770 651651515655 1303303031310