Search a number
-
+
232201045142451 = 327112911554015283
BaseRepresentation
bin110100110010111110000100…
…110011111110101110110011
31010110011012111002002002102200
4310302332010303332232303
5220413340220024024301
62141503404300514243
766623654235023460
oct6462760463765663
91113135432062380
10232201045142451
1167a93a01572380
122206215024b983
139c74606965c38
14414a83a680667
151bca136e16c86
hexd32f84cfebb3

232201045142451 has 48 divisors (see below), whose sum is σ = 432582332232960. Its totient is φ = 116464474042560.

The previous prime is 232201045142449. The next prime is 232201045142497. The reversal of 232201045142451 is 154241540102232.

232201045142451 is a `hidden beast` number, since 2 + 3 + 2 + 20 + 1 + 0 + 45 + 142 + 451 = 666.

It is not a de Polignac number, because 232201045142451 - 21 = 232201045142449 is a prime.

It is not an unprimeable number, because it can be changed into a prime (232201045152451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5776987545 + ... + 5777027738.

It is an arithmetic number, because the mean of its divisors is an integer number (9012131921520).

Almost surely, 2232201045142451 is an apocalyptic number.

232201045142451 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

232201045142451 is a deficient number, since it is larger than the sum of its proper divisors (200381287090509).

232201045142451 is a wasteful number, since it uses less digits than its factorization.

232201045142451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11554015336 (or 11554015333 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

Adding to 232201045142451 its reverse (154241540102232), we get a palindrome (386442585244683).

The spelling of 232201045142451 in words is "two hundred thirty-two trillion, two hundred one billion, forty-five million, one hundred forty-two thousand, four hundred fifty-one".

Divisors: 1 3 7 9 11 21 29 33 63 77 87 99 203 231 261 319 609 693 957 1827 2233 2871 6699 20097 11554015283 34662045849 80878106981 103986137547 127094168113 242634320943 335066443207 381282504339 727902962829 889659176791 1005199329621 1143847513017 2345465102449 2668977530373 3015597988863 3685730875277 7036395307347 8006932591119 11057192625831 21109185922041 25800116126939 33171577877493 77400348380817 232201045142451