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1323100133020 = 2252347144742293
BaseRepresentation
bin10011010000001110111…
…010011101011010011100
311200111011010022210111101
4103100032322131122130
5133134202113224040
62451453535402444
7164406440366101
oct23201672353234
94614133283441
101323100133020
1147013a594016
12194513683424
13979c9b457c3
14480774a0aa8
152463be1409a
hex1340ee9d69c

1323100133020 has 96 divisors (see below), whose sum is σ = 2963118993408. Its totient is φ = 495104662272.

The previous prime is 1323100132967. The next prime is 1323100133039. The reversal of 1323100133020 is 203310013231.

It is a super-3 number, since 3×13231001330203 (a number of 37 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31262994 + ... + 31305286.

It is an arithmetic number, because the mean of its divisors is an integer number (30865822848).

Almost surely, 21323100133020 is an apocalyptic number.

1323100133020 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 1323100133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481559496704).

1323100133020 is an abundant number, since it is smaller than the sum of its proper divisors (1640018860388).

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

1323100133020 is a wasteful number, since it uses less digits than its factorization.

1323100133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43819 (or 43817 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1323100133020 its reverse (203310013231), we get a palindrome (1526410146251).

The spelling of 1323100133020 in words is "one trillion, three hundred twenty-three billion, one hundred million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 47 92 94 115 188 230 235 460 470 940 1081 1447 2162 2894 4324 5405 5788 7235 10810 14470 21620 28940 33281 42293 66562 68009 84586 133124 136018 166405 169172 211465 272036 332810 340045 422930 665620 680090 845860 972739 1360180 1564207 1945478 1987771 3128414 3890956 3975542 4863695 6256828 7821035 7951084 9727390 9938855 15642070 19454780 19877710 31284140 39755420 45718733 61197971 91437466 122395942 182874932 228593665 244791884 305989855 457187330 611979710 914374660 1223959420 1407553333 2815106666 2876304637 5630213332 5752609274 7037766665 11505218548 14075533330 14381523185 28151066660 28763046370 57526092740 66155006651 132310013302 264620026604 330775033255 661550066510 1323100133020