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212211102012 = 223713972119991
BaseRepresentation
bin1100010110100011000…
…1000111000100111100
3202021202100121221100220
43011220301013010330
511434102020231022
6241253300221340
721221534414340
oct3055061070474
9667670557326
10212211102012
1181aa86a8948
123516509a850
131701c127320
14a3b1b71620
1557c04e385c
hex3168c4713c

212211102012 has 96 divisors (see below), whose sum is σ = 609519934464. Its totient is φ = 55959206400.

The previous prime is 212211102007. The next prime is 212211102023. The reversal of 212211102012 is 210201112212.

It is a junction number, because it is equal to n+sod(n) for n = 212211101982 and 212211102000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10605337 + ... + 10625327.

It is an arithmetic number, because the mean of its divisors is an integer number (6349165984).

Almost surely, 2212211102012 is an apocalyptic number.

It is an amenable number.

212211102012 is an abundant number, since it is smaller than the sum of its proper divisors (397308832452).

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

212211102012 is a wasteful number, since it uses less digits than its factorization.

212211102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29739 (or 29737 counting only the distinct ones).

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

Adding to 212211102012 its reverse (210201112212), we get a palindrome (422412214224).

The spelling of 212211102012 in words is "two hundred twelve billion, two hundred eleven million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 9721 19442 19991 29163 38884 39982 58326 59973 68047 79964 116652 119946 126373 136094 139937 204141 239892 252746 259883 272188 279874 379119 408282 419811 505492 519766 559748 758238 779649 816564 839622 884611 1039532 1516476 1559298 1679244 1769222 1819181 2653833 3118596 3538444 3638362 5307666 5457543 7276724 10615332 10915086 21830172 194332511 388665022 582997533 777330044 1165995066 1360327577 2331990132 2526322643 2720655154 4080982731 5052645286 5441310308 7578967929 8161965462 10105290572 15157935858 16323930924 17684258501 30315871716 35368517002 53052775503 70737034004 106105551006 212211102012