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431342200212 = 2237112107396619
BaseRepresentation
bin1100100011011011111…
…11111010010110010100
31112020100222110002220220
412101231333322112110
524031342100401322
6530053400154340
743110030131010
oct6215577722624
91466328402826
10431342200212
11156a27477300
126b71b7689b0
13318a1ac5541
1416c3c995540
15b34829b55c
hex646dffa594

431342200212 has 144 divisors (see below), whose sum is σ = 1276139128320. Its totient is φ = 110989581120.

The previous prime is 431342200141. The next prime is 431342200241. The reversal of 431342200212 is 212002243134.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 889239 + ... + 1285857.

It is an arithmetic number, because the mean of its divisors is an integer number (8862077280).

Almost surely, 2431342200212 is an apocalyptic number.

431342200212 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 431342200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638069564160).

431342200212 is an abundant number, since it is smaller than the sum of its proper divisors (844796928108).

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

431342200212 is a wasteful number, since it uses less digits than its factorization.

431342200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396762 (or 396749 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 431342200212 its reverse (212002243134), we get a palindrome (643344443346).

The spelling of 431342200212 in words is "four hundred thirty-one billion, three hundred forty-two million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 66 77 84 107 121 132 154 214 231 242 308 321 363 428 462 484 642 726 749 847 924 1177 1284 1452 1498 1694 2247 2354 2541 2996 3388 3531 4494 4708 5082 7062 8239 8988 10164 12947 14124 16478 24717 25894 32956 38841 49434 51788 77682 90629 98868 155364 181258 271887 362516 396619 543774 793238 1087548 1189857 1586476 2379714 2776333 4362809 4759428 5552666 8328999 8725618 11105332 13088427 16657998 17451236 26176854 30539663 33315996 42438233 47990899 52353708 61079326 84876466 91618989 95981798 122158652 127314699 143972697 169752932 183237978 191963596 254629398 287945394 297067631 335936293 366475956 466820563 509258796 575890788 594135262 671872586 891202893 933641126 1007808879 1188270524 1343745172 1400461689 1782405786 1867282252 2015617758 2800923378 3267743941 3564811572 4031235516 5135026193 5601846756 6535487882 9803231823 10270052386 13070975764 15405078579 19606463646 20540104772 30810157158 35945183351 39212927292 61620314316 71890366702 107835550053 143780733404 215671100106 431342200212