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1323300020120 = 2351319174776667
BaseRepresentation
bin10011010000011010110…
…100111101111110011000
311200111200001110010001022
4103100122310331332120
5133140104301120440
62451525435542012
7164414415403241
oct23203264757630
94614601403038
101323300020120
114702323aa171
1219456a5ba908
1397a2c3905b0
1448095c53cc8
152464e749cb5
hex1341ad3df98

1323300020120 has 128 divisors (see below), whose sum is σ = 3377194732800. Its totient is φ = 462616137216.

The previous prime is 1323300020069. The next prime is 1323300020149. The reversal of 1323300020120 is 210200033231.

It is a super-2 number, since 2×13233000201202 (a number of 25 digits) contains 22 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, 17222027 + ... + 17298693.

It is an arithmetic number, because the mean of its divisors is an integer number (26384333850).

Almost surely, 21323300020120 is an apocalyptic number.

1323300020120 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 1323300020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1688597366400).

1323300020120 is an abundant number, since it is smaller than the sum of its proper divisors (2053894712680).

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

1323300020120 is a wasteful number, since it uses less digits than its factorization.

1323300020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78457 (or 78453 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1323300020120 its reverse (210200033231), we get a palindrome (1533500053351).

The spelling of 1323300020120 in words is "one trillion, three hundred twenty-three billion, three hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 380 494 520 760 988 1235 1747 1976 2470 3494 4940 6988 8735 9880 13976 17470 22711 33193 34940 45422 66386 69880 76667 90844 113555 132772 153334 165965 181688 227110 265544 306668 331930 383335 431509 454220 613336 663860 766670 863018 908440 996671 1327720 1456673 1533340 1726036 1993342 2157545 2913346 3066680 3452072 3986684 4315090 4983355 5826692 7283365 7973368 8630180 9966710 11653384 14566730 17260360 18936749 19933420 29133460 37873498 39866840 58266920 75746996 94683745 133937249 151493992 189367490 267874498 378734980 535748996 669686245 757469960 1071497992 1339372490 1741184237 2544807731 2678744980 3482368474 5089615462 5357489960 6964736948 8705921185 10179230924 12724038655 13929473896 17411842370 20358461848 25448077310 33082500503 34823684740 50896154620 66165001006 69647369480 101792309240 132330002012 165412502515 264660004024 330825005030 661650010060 1323300020120