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211213320201 = 331317181269727
BaseRepresentation
bin1100010010110101001…
…0111000000000001001
3202012011211010101001000
43010231102320000021
511430031102221301
6241010254245213
721155030412432
oct3045522700011
9665154111030
10211213320201
118163645a684
1234b26ab6809
1316bc04b59a0
14a319440489
155762aee786
hex312d4b8009

211213320201 has 128 divisors (see below), whose sum is σ = 360601113600. Its totient is φ = 121036861440.

The previous prime is 211213320193. The next prime is 211213320211. The reversal of 211213320201 is 102023312112.

211213320201 is a `hidden beast` number, since 21 + 121 + 3 + 320 + 201 = 666.

It is not a de Polignac number, because 211213320201 - 23 = 211213320193 is a prime.

It is a super-2 number, since 2×2112133202012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211213320211) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 290526900 + ... + 290527626.

It is an arithmetic number, because the mean of its divisors is an integer number (2817196200).

Almost surely, 2211213320201 is an apocalyptic number.

It is an amenable number.

211213320201 is a deficient number, since it is larger than the sum of its proper divisors (149387793399).

211213320201 is a wasteful number, since it uses less digits than its factorization.

211213320201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1216 (or 1210 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211213320201 its reverse (102023312112), we get a palindrome (313236632313).

The spelling of 211213320201 in words is "two hundred eleven billion, two hundred thirteen million, three hundred twenty thousand, two hundred one".

Divisors: 1 3 9 13 17 27 39 51 117 153 181 221 269 351 459 543 663 727 807 1629 1989 2181 2353 2421 3077 3497 4573 4887 5967 6543 7059 7263 9231 9451 10491 12359 13719 19629 21177 27693 28353 31473 37077 40001 41157 48689 59449 63531 83079 85059 94419 111231 120003 123471 131587 146067 160667 178347 195563 255177 333693 360009 394761 438201 482001 535041 586689 632957 827713 1080027 1184283 1314603 1446003 1605123 1710631 1760067 1898871 2236979 2483139 2542319 3324571 3552849 4338009 5131893 5280201 5696613 6710937 7449417 7626957 9973713 10760269 15395679 17089839 20132811 22348251 22880871 29080727 29921139 32280807 35396903 43219423 46187037 60398433 68642613 87242181 89763417 96842421 106190709 129658269 261726543 290527263 318572127 388974807 460159739 601747351 785179629 955716381 1166924421 1380479217 1805242053 4141437651 5415726159 7822715563 12424312953 16247178477 23468146689 70404440067 211213320201