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212330032202232 = 233271976512131483
BaseRepresentation
bin110000010001110011110000…
…001001010000000111111000
31000211210112221000112010122100
4300101303300021100013320
5210312303401220432412
62031331023055023400
762503224064631460
oct6021636011200770
91024715830463570
10212330032202232
116172272a82249a
121b992b9620ab60
139162836738919
143a60b85172ba0
1519832d1008edc
hexc11cf02501f8

212330032202232 has 96 divisors (see below), whose sum is σ = 657215637886080. Its totient is φ = 60665388091200.

The previous prime is 212330032202161. The next prime is 212330032202333. The reversal of 212330032202232 is 232202230033212.

212330032202232 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 300 + 322 + 0 + 2 + 2 + 32 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 212330032202196 and 212330032202205.

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 23 ways as a sum of consecutive naturals, for example, 98550363 + ... + 100681845.

It is an arithmetic number, because the mean of its divisors is an integer number (6845996227980).

Almost surely, 2212330032202232 is an apocalyptic number.

It is an amenable number.

212330032202232 is an abundant number, since it is smaller than the sum of its proper divisors (444885605683848).

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

212330032202232 is a wasteful number, since it uses less digits than its factorization.

212330032202232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2329153 (or 2329146 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 212330032202232 its reverse (232202230033212), we get a palindrome (444532262235444).

The spelling of 212330032202232 in words is "two hundred twelve trillion, three hundred thirty billion, thirty-two million, two hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 197651 395302 592953 790604 1185906 1383557 1581208 1778859 2131483 2371812 2767114 3557718 4150671 4262966 4743624 5534228 6394449 7115436 8301342 8525932 11068456 12452013 12788898 14230872 14920381 16602684 17051864 19183347 24904026 25577796 29840762 33205368 38366694 44761143 49808052 51155592 59681524 76733388 89522286 99616104 119363048 134283429 153466776 179044572 268566858 358089144 537133716 1074267432 421289746433 842579492866 1263869239299 1685158985732 2527738478598 2949028225031 3370317971464 3791607717897 5055476957196 5898056450062 7583215435794 8847084675093 10110953914392 11796112900124 15166430871588 17694169350186 23592225800248 26541254025279 30332861743176 35388338700372 53082508050558 70776677400744 106165016101116 212330032202232