Search a number
-
+
431202130230 = 235176712619319
BaseRepresentation
bin1100100011001011010…
…01100101100100110110
31112020000012212211000210
412101211221211210312
524031100221131410
6530031434050250
743103406426504
oct6214551454466
91466005784023
10431202130230
111569653a7693
126b6a0879986
133187ba923b1
1416c28133674
15b33ad2e220
hex6465a65936

431202130230 has 64 divisors (see below), whose sum is σ = 1112115432960. Its totient is φ = 106607998464.

The previous prime is 431202130201. The next prime is 431202130267. The reversal of 431202130230 is 32031202134.

It is a super-3 number, since 3×4312021302303 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 431202130197 and 431202130206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6275490 + ... + 6343829.

It is an arithmetic number, because the mean of its divisors is an integer number (17376803640).

Almost surely, 2431202130230 is an apocalyptic number.

431202130230 is an abundant number, since it is smaller than the sum of its proper divisors (680913302730).

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

431202130230 is a wasteful number, since it uses less digits than its factorization.

431202130230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12619413.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 431202130230 its reverse (32031202134), we get a palindrome (463233332364).

The spelling of 431202130230 in words is "four hundred thirty-one billion, two hundred two million, one hundred thirty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 67 85 102 134 170 201 255 335 402 510 670 1005 1139 2010 2278 3417 5695 6834 11390 17085 34170 12619319 25238638 37857957 63096595 75715914 126193190 189289785 214528423 378579570 429056846 643585269 845494373 1072642115 1287170538 1690988746 2145284230 2536483119 3217926345 4227471865 5072966238 6435852690 8454943730 12682415595 14373404341 25364831190 28746808682 43120213023 71867021705 86240426046 143734043410 215601065115 431202130230