Search a number
-
+
3042203120120 = 235314783628913
BaseRepresentation
bin101100010001010001011…
…011111011000111111000
3101202211110100212220121002
4230101101123323013320
5344320412444320440
610245322510504132
7432535425600443
oct54212133730770
911684410786532
103042203120120
11a7321139554a
12411723805048
13190b56167028
14a7359d1465a
1554204862115
hex2c4516fb1f8

3042203120120 has 128 divisors (see below), whose sum is σ = 7303049994240. Its totient is φ = 1138682910720.

The previous prime is 3042203120119. The next prime is 3042203120123. The reversal of 3042203120120 is 210213022403.

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 = 3042203120092 and 3042203120101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3042203120123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4522784 + ... + 5151696.

It is an arithmetic number, because the mean of its divisors is an integer number (57055078080).

Almost surely, 23042203120120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3042203120120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3651524997120).

3042203120120 is an abundant number, since it is smaller than the sum of its proper divisors (4260846874120).

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

3042203120120 is a wasteful number, since it uses less digits than its factorization.

3042203120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629085 (or 629081 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 3042203120120 its reverse (210213022403), we get a palindrome (3252416142523).

The spelling of 3042203120120 in words is "three trillion, forty-two billion, two hundred three million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 47 62 83 94 124 155 166 188 235 248 310 332 376 415 470 620 664 830 940 1240 1457 1660 1880 2573 2914 3320 3901 5146 5828 7285 7802 10292 11656 12865 14570 15604 19505 20584 25730 29140 31208 39010 51460 58280 78020 102920 120931 156040 241862 483724 604655 628913 967448 1209310 1257826 2418620 2515652 3144565 4837240 5031304 6289130 12578260 19496303 25156520 29558911 38992606 52199779 59117822 77985212 97481515 104399558 118235644 147794555 155970424 194963030 208799116 236471288 260998895 295589110 389926060 417598232 521997790 591178220 779852120 916326241 1043995580 1182356440 1618193149 1832652482 2087991160 2453389613 3236386298 3665304964 4581631205 4906779226 6472772596 7330609928 8090965745 9163262410 9813558452 12266948065 12945545192 16181931490 18326524820 19627116904 24533896130 32363862980 36653049640 49067792260 64727725960 76055078003 98135584520 152110156006 304220312012 380275390015 608440624024 760550780030 1521101560060 3042203120120