Search a number
-
+
1323031310120 = 2351323222149807
BaseRepresentation
bin10011010000001010110…
…011111010111100101000
311200110222022211020020002
4103100022303322330220
5133134032003410440
62451443040322132
7164404643404202
oct23201263727450
94613868736202
101323031310120
11470104757393
121944b4613348
13979b87c99b0
144806c2a7772
1524635d6c115
hex1340acfaf28

1323031310120 has 128 divisors (see below), whose sum is σ = 3346762890240. Its totient is φ = 467044807680.

The previous prime is 1323031310119. The next prime is 1323031310137. The reversal of 1323031310120 is 210131303231.

It is a super-2 number, since 2×13230313101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1323031310092 and 1323031310101.

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, 26538257 + ... + 26588063.

It is an arithmetic number, because the mean of its divisors is an integer number (26146585080).

Almost surely, 21323031310120 is an apocalyptic number.

1323031310120 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 1323031310120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673381445120).

1323031310120 is an abundant number, since it is smaller than the sum of its proper divisors (2023731580120).

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

1323031310120 is a wasteful number, since it uses less digits than its factorization.

1323031310120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52075 (or 52071 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1323031310120 its reverse (210131303231), we get a palindrome (1533162613351).

The spelling of 1323031310120 in words is "one trillion, three hundred twenty-three billion, thirty-one million, three hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 52 65 92 104 115 130 184 230 260 299 460 520 598 920 1196 1495 2221 2392 2990 4442 5980 8884 11105 11960 17768 22210 28873 44420 49807 51083 57746 88840 99614 102166 115492 144365 199228 204332 230984 249035 255415 288730 398456 408664 498070 510830 577460 647491 664079 996140 1021660 1145561 1154920 1294982 1328158 1992280 2043320 2291122 2589964 2656316 3237455 3320395 4582244 5179928 5312632 5727805 6474910 6640790 9164488 11455610 12949820 13281580 14892293 22911220 25899640 26563160 29784586 45822440 59569172 74461465 110621347 119138344 148922930 221242694 297845860 442485388 553106735 595691720 884970776 1106213470 1438077511 2212426940 2544290981 2876155022 4424853880 5088581962 5752310044 7190387555 10177163924 11504620088 12721454905 14380775110 20354327848 25442909810 28761550220 33075782753 50885819620 57523100440 66151565506 101771639240 132303131012 165378913765 264606262024 330757827530 661515655060 1323031310120