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1323111020110 = 2511531012937669
BaseRepresentation
bin10011010000001111100…
…011111111011001001110
311200111011212210220202221
4103100033203333121032
5133134212410120420
62451455005005554
7164406632051635
oct23201743773116
94614155726687
101323111020110
1147014574a710
121945172538ba
13979cc188079
1448078ad651c
152463cd64caa
hex1340f8ff64e

1323111020110 has 128 divisors (see below), whose sum is σ = 2682812845440. Its totient is φ = 465723648000.

The previous prime is 1323111020107. The next prime is 1323111020111. The reversal of 1323111020110 is 110201113231.

It is a happy number.

It is a super-4 number, since 4×13231110201104 (a number of 50 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1323111020111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 172523356 + ... + 172531024.

It is an arithmetic number, because the mean of its divisors is an integer number (20959475355).

Almost surely, 21323111020110 is an apocalyptic number.

1323111020110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1323111020110 is an abundant number, since it is smaller than the sum of its proper divisors (1359701825330).

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

1323111020110 is a wasteful number, since it uses less digits than its factorization.

1323111020110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8134.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 1323111020110 its reverse (110201113231), we get a palindrome (1433312133341).

The spelling of 1323111020110 in words is "one trillion, three hundred twenty-three billion, one hundred eleven million, twenty thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 53 55 101 106 110 202 265 293 505 530 583 586 1010 1111 1166 1465 2222 2915 2930 3223 5353 5555 5830 6446 7669 10706 11110 15338 15529 16115 26765 29593 31058 32230 38345 53530 58883 59186 76690 77645 84359 117766 147965 155290 168718 170819 294415 295930 325523 341638 406457 421795 588830 651046 774569 812914 843590 854095 1549138 1568429 1627615 1708190 2032285 2247017 3136858 3255230 3872845 4064570 4471027 4494034 7745690 7842145 8520259 8942054 11235085 15684290 17040518 17252719 22355135 22470170 24717187 34505438 41052157 42601295 44710270 49434374 82104314 85202590 86263595 119091901 123585935 172527190 205260785 226948717 238183802 247171870 410521570 451573727 453897434 595459505 903147454 1134743585 1190919010 1310010911 2257868635 2269487170 2496435887 2620021822 4515737270 4992871774 6550054555 12028282001 12482179435 13100109110 24056564002 24964358870 60141410005 120282820010 132311102011 264622204022 661555510055 1323111020110