Search a number
-
+
3130021301121 = 32111379173177949
BaseRepresentation
bin101101100011000011110…
…011101100101110000001
3102002020010120021201201100
4231203003303230232001
5402240240423113441
610353524551125013
7442064563036611
oct55430363545601
912066116251640
103130021301121
11aa7486474740
12426751973769
1319920cc52140
14ab6cb148a41
15566443b3cb6
hex2d8c3cecb81

3130021301121 has 96 divisors (see below), whose sum is σ = 5409907776000. Its totient is φ = 1718892264960.

The previous prime is 3130021301083. The next prime is 3130021301177. The reversal of 3130021301121 is 1211031200313.

3130021301121 is a `hidden beast` number, since 31 + 300 + 21 + 301 + 12 + 1 = 666.

3130021301121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3130021301121 - 27 = 3130021300993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 3130021301094 and 3130021301103.

It is not an unprimeable number, because it can be changed into a prime (3130021301221) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17500455 + ... + 17678403.

It is an arithmetic number, because the mean of its divisors is an integer number (56353206000).

Almost surely, 23130021301121 is an apocalyptic number.

It is an amenable number.

3130021301121 is a deficient number, since it is larger than the sum of its proper divisors (2279886474879).

3130021301121 is a wasteful number, since it uses less digits than its factorization.

3130021301121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178231 (or 178228 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 3130021301121 its reverse (1211031200313), we get a palindrome (4341052501434).

The spelling of 3130021301121 in words is "three trillion, one hundred thirty billion, twenty-one million, three hundred one thousand, one hundred twenty-one".

Divisors: 1 3 9 11 13 33 39 79 99 117 143 173 237 429 519 711 869 1027 1287 1557 1903 2249 2607 3081 5709 6747 7821 9243 11297 13667 17127 20241 24739 33891 41001 74217 101673 123003 150337 177671 177949 222651 451011 533013 533847 1353033 1599039 1601541 1954381 1957439 2313337 5863143 5872317 6940011 14057971 17589429 17616951 20820033 25446707 30785177 42173913 76340121 92355531 126521739 154637681 182753623 229020363 277066593 338636947 400207301 463913043 548260869 1015910841 1200621903 1391739129 1644782607 2010289853 2432028983 3047732523 3601865709 4402280311 6030869559 7296086949 13206840933 18092608677 21888260847 26752318813 31616376779 39620522799 80256956439 94849130337 240770869317 284547391011 347780144569 1043340433707 3130021301121