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1030311313311 = 372373832331511
BaseRepresentation
bin11101111111000110101…
…01101111111110011111
310122111102011111200102210
432333203111233332133
5113340034144011221
62105152443051503
7134303034443610
oct16774325577637
93574364450383
101030311313311
11367a52970255
12147821210b93
1376208cbcca7
1437c1dd6bc07
151bc02886276
hexefe356ff9f

1030311313311 has 128 divisors (see below), whose sum is σ = 1689039765504. Its totient is φ = 546028369920.

The previous prime is 1030311313261. The next prime is 1030311313333. The reversal of 1030311313311 is 1133131130301.

It is not a de Polignac number, because 1030311313311 - 226 = 1030244204447 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030311313411) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 681873046 + ... + 681874556.

It is an arithmetic number, because the mean of its divisors is an integer number (13195623168).

Almost surely, 21030311313311 is an apocalyptic number.

1030311313311 is a deficient number, since it is larger than the sum of its proper divisors (658728452193).

1030311313311 is a wasteful number, since it uses less digits than its factorization.

1030311313311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1933.

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 1030311313311 its reverse (1133131130301), we get a palindrome (2163442443612).

The spelling of 1030311313311 in words is "one trillion, thirty billion, three hundred eleven million, three hundred thirteen thousand, three hundred eleven".

Divisors: 1 3 7 21 23 69 73 83 161 219 233 249 483 511 581 699 1511 1533 1631 1679 1743 1909 4533 4893 5037 5359 5727 6059 10577 11753 13363 16077 17009 18177 19339 31731 34753 35259 37513 40089 42413 51027 58017 104259 110303 112539 119063 125413 127239 135373 139357 243271 330909 352063 357189 376239 391207 406119 418071 444797 729813 772121 877891 975499 1056189 1173621 1334391 1411747 2316363 2464441 2536969 2633673 2738449 2884499 2926497 3113579 4235241 7393323 7610907 8097449 8215347 8653497 9155149 9340737 9882229 17758783 20191493 24292347 25700599 27465447 29221229 29646687 32470181 53276349 56682143 60574479 64086043 77101797 87663687 97410543 170046429 179904193 192258129 204548603 210568427 227291267 539712579 591113777 613645809 631705281 672088267 681873801 1473978989 1773341331 2016264801 2133149717 4137796439 4421936967 4704617869 6399449151 12413389317 14113853607 14932048019 44796144057 49062443491 147187330473 343437104437 1030311313311