Search a number
-
+
120230032131 = 331115715231693
BaseRepresentation
bin110111111111001000…
…1001011001100000011
3102111100001000110021000
41233332101023030003
53432212342012011
6131122150503043
711454261261006
oct1577621131403
9374301013230
10120230032131
1146a9779a720
121b374964a83
13b450a58161
145b67b0553d
1531da293356
hex1bfe44b303

120230032131 has 64 divisors (see below), whose sum is σ = 195792791040. Its totient is φ = 72312289920.

The previous prime is 120230032081. The next prime is 120230032157. The reversal of 120230032131 is 131230032021.

120230032131 is a `hidden beast` number, since 1 + 202 + 300 + 32 + 131 = 666.

It is not a de Polignac number, because 120230032131 - 27 = 120230032003 is a prime.

It is a super-2 number, since 2×1202300321312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (120230032171) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 71015121 + ... + 71016813.

It is an arithmetic number, because the mean of its divisors is an integer number (3059262360).

Almost surely, 2120230032131 is an apocalyptic number.

120230032131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

120230032131 is a deficient number, since it is larger than the sum of its proper divisors (75562758909).

120230032131 is a wasteful number, since it uses less digits than its factorization.

120230032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3393 (or 3387 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 120230032131 its reverse (131230032021), we get a palindrome (251460064152).

The spelling of 120230032131 in words is "one hundred twenty billion, two hundred thirty million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 3 9 11 27 33 99 157 297 471 1413 1523 1693 1727 4239 4569 5079 5181 13707 15237 15543 16753 18623 41121 45711 46629 50259 55869 150777 167607 239111 265801 452331 502821 717333 797403 2151999 2392209 2578439 2630221 2923811 6455997 7176627 7735317 7890663 8771433 23205951 23671989 26314299 28362829 69617853 71015967 78942897 85088487 255265461 404814923 765796383 1214444769 3643334307 4452964153 10930002921 13358892459 40076677377 120230032131