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212233330001 = 721123711032341
BaseRepresentation
bin1100010110101000010…
…1111001110101010001
3202021210220110020102202
43011222011321311101
511434123213030001
6241255412452545
721222224353100
oct3055205716521
9667726406382
10212233330001
118200a200090
123517061a155
131702390a894
14a3b4aba037
1557c243496b
hex316a179d51

212233330001 has 96 divisors (see below), whose sum is σ = 287885684736. Its totient is φ = 154378224000.

The previous prime is 212233329977. The next prime is 212233330031. The reversal of 212233330001 is 100033332212.

212233330001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 212233330001 - 210 = 212233328977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (212233330031) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 90658091 + ... + 90660431.

It is an arithmetic number, because the mean of its divisors is an integer number (2998809216).

Almost surely, 2212233330001 is an apocalyptic number.

It is an amenable number.

212233330001 is a deficient number, since it is larger than the sum of its proper divisors (75652354735).

212233330001 is a wasteful number, since it uses less digits than its factorization.

212233330001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2563 (or 2556 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 212233330001 its reverse (100033332212), we get a palindrome (312266662213).

The spelling of 212233330001 in words is "two hundred twelve billion, two hundred thirty-three million, three hundred thirty thousand, one".

Divisors: 1 7 11 23 49 71 77 103 161 253 497 539 721 781 1127 1133 1633 1771 2341 2369 3479 5047 5467 7313 7931 11431 12397 16387 16583 17963 25751 26059 38269 51191 53843 55517 80017 80443 114709 116081 125741 166211 168199 180257 182413 241123 358337 376901 563101 592273 880187 1163477 1177393 1261799 1276891 1687861 1828321 1850189 2638307 2652353 3822853 3941707 4145911 5545829 8144339 8241751 11815027 12798247 12951323 17119733 18566471 26759971 29021377 38820803 42051383 61004119 89587729 90659261 119838131 129965297 187319797 188317063 271745621 294359681 393753859 427028833 838866917 1318219441 2060517767 2756277013 2989201831 4331292449 9227536087 19293939091 30319047143 212233330001