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211221210200010 = 235109140945843607
BaseRepresentation
bin110000000001101011000101…
…001100111111011111001010
31000200212112212022022012221120
4300001223011030333133022
5210141122014302400020
62025121403455220110
762330141331262023
oct6001530514773712
91020775768265846
10211221210200010
11613354596a567a
121b834103b17636
1390b20c8032aba
143a23238189c4a
151964535cdb740
hexc01ac533f7ca

211221210200010 has 64 divisors (see below), whose sum is σ = 511944739257600. Its totient is φ = 55769296822272.

The previous prime is 211221210199997. The next prime is 211221210200023. The reversal of 211221210200010 is 10002012122112.

211221210200010 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211221210199997) and next prime (211221210200023).

It is a super-2 number, since 2×2112212102000102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18314374 + ... + 27529233.

It is an arithmetic number, because the mean of its divisors is an integer number (7999136550900).

Almost surely, 2211221210200010 is an apocalyptic number.

211221210200010 is an abundant number, since it is smaller than the sum of its proper divisors (300723529057590).

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

211221210200010 is a wasteful number, since it uses less digits than its factorization.

211221210200010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45845135.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 211221210200010 its reverse (10002012122112), we get a palindrome (221223222322122).

The spelling of 211221210200010 in words is "two hundred eleven trillion, two hundred twenty-one billion, two hundred ten million, two hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 109 218 327 545 654 1090 1409 1635 2818 3270 4227 7045 8454 14090 21135 42270 153581 307162 460743 767905 921486 1535810 2303715 4607430 45843607 91687214 137530821 229218035 275061642 458436070 687654105 1375308210 4996953163 9993906326 14990859489 24984765815 29981718978 49969531630 64593642263 74954297445 129187284526 149908594890 193780926789 322968211315 387561853578 645936422630 968904633945 1937809267890 7040707006667 14081414013334 21122121020001 35203535033335 42244242040002 70407070066670 105610605100005 211221210200010