Search a number
-
+
20133123003120 = 2435711181521303
BaseRepresentation
bin1001001001111100110111…
…01001010001001011110000
32122021201002221212202011210
410210332123221101023300
510114330113442044440
6110453010134040120
74145366361621411
oct444763351211360
978251087782153
1020133123003120
11646245607a686
122311b261a9040
13b307121a88ba
144d863c3cb808
1524da96e88a80
hex124f9ba512f0

20133123003120 has 80 divisors (see below), whose sum is σ = 63291733212672. Its totient is φ = 5293215432960.

The previous prime is 20133123003107. The next prime is 20133123003137. The reversal of 20133123003120 is 2130032133102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 590743612 + ... + 590777691.

Almost surely, 220133123003120 is an apocalyptic number.

20133123003120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20133123003120 is an abundant number, since it is smaller than the sum of its proper divisors (43158610209552).

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

20133123003120 is a wasteful number, since it uses less digits than its factorization.

20133123003120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181521390 (or 1181521384 counting only the distinct ones).

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

Adding to 20133123003120 its reverse (2130032133102), we get a palindrome (22263155136222).

The spelling of 20133123003120 in words is "twenty trillion, one hundred thirty-three billion, one hundred twenty-three million, three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 71 80 120 142 213 240 284 355 426 568 710 852 1065 1136 1420 1704 2130 2840 3408 4260 5680 8520 17040 1181521303 2363042606 3544563909 4726085212 5907606515 7089127818 9452170424 11815213030 14178255636 17722819545 18904340848 23630426060 28356511272 35445639090 47260852120 56713022544 70891278180 83888012513 94521704240 141782556360 167776025026 251664037539 283565112720 335552050052 419440062565 503328075078 671104100104 838880125130 1006656150156 1258320187695 1342208200208 1677760250260 2013312300312 2516640375390 3355520500520 4026624600624 5033280750780 6711041001040 10066561501560 20133123003120