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1323003201132 = 2231928317532099
BaseRepresentation
bin10011010000001001001…
…000101100011001101100
311200110220100221010221110
4103100021020230121230
5133134002304414012
62451440154032020
7164404152442614
oct23201110543154
94613810833843
101323003201132
1147009a8a8718
121944a7118610
13979b2a37662
144806866ba44
152463366873c
hex1340922c66c

1323003201132 has 144 divisors (see below), whose sum is σ = 3300738940800. Its totient is φ = 412324874496.

The previous prime is 1323003201089. The next prime is 1323003201187. The reversal of 1323003201132 is 2311023003231.

It is a junction number, because it is equal to n+sod(n) for n = 1323003201099 and 1323003201108.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 630300619 + ... + 630302717.

It is an arithmetic number, because the mean of its divisors is an integer number (22921798200).

Almost surely, 21323003201132 is an apocalyptic number.

1323003201132 is a gapful number since it is divisible by the number (12) 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 1323003201132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1650369470400).

1323003201132 is an abundant number, since it is smaller than the sum of its proper divisors (1977735739668).

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

1323003201132 is a wasteful number, since it uses less digits than its factorization.

1323003201132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3980 (or 3959 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1323003201132 its reverse (2311023003231), we get a palindrome (3634026204363).

The spelling of 1323003201132 in words is "one trillion, three hundred twenty-three billion, three million, two hundred one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 83 114 166 228 249 332 361 498 722 996 1083 1444 1577 1753 2099 2166 3154 3506 4198 4332 4731 5259 6297 6308 7012 8396 9462 10518 12594 18924 21036 25188 29963 33307 39881 59926 66614 79762 89889 99921 119643 119852 133228 145499 159524 174217 179778 199842 239286 290998 348434 359556 399684 436497 478572 522651 581996 632833 696868 757739 872994 1045302 1265666 1515478 1745988 1898499 2090604 2273217 2531332 2764481 3030956 3310123 3679547 3796998 4546434 5528962 6620246 7359094 7593996 8293443 9092868 9930369 11038641 11057924 13240492 14718188 16586886 19860738 22077282 33173772 39721476 44154564 52525139 62892337 69911393 105050278 125784674 139822786 157575417 188677011 209734179 210100556 251569348 279645572 305402401 315150834 377354022 419468358 610804802 630301668 754708044 838936716 916207203 1221609604 1328316467 1832414406 2656632934 3664828812 3984949401 5313265868 5802645619 7969898802 11605291238 15939797604 17407936857 23210582476 34815873714 69631747428 110250266761 220500533522 330750800283 441001067044 661501600566 1323003201132