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212121101112193 = 713173831201298093
BaseRepresentation
bin110000001110110001001010…
…111000011001001110000001
31000211001120122020211001211101
4300032301022320121032001
5210300343003341042233
62031051031044414401
762452146425650210
oct6016611270311601
91024046566731741
10212121101112193
1161652065657149
121b95a5a76a7401
139148c1b015ab0
143a54a04c97077
15197cb5396ac7d
hexc0ec4ae19381

212121101112193 has 64 divisors (see below), whose sum is σ = 277382753206272. Its totient is φ = 157415469465600.

The previous prime is 212121101112187. The next prime is 212121101112209. The reversal of 212121101112193 is 391211101121212.

It is a cyclic number.

It is not a de Polignac number, because 212121101112193 - 213 = 212121101104001 is a prime.

It is a super-3 number, since 3×2121211011121933 (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (212121111112193) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 711444655 + ... + 711742747.

It is an arithmetic number, because the mean of its divisors is an integer number (4334105518848).

Almost surely, 2212121101112193 is an apocalyptic number.

It is an amenable number.

212121101112193 is a deficient number, since it is larger than the sum of its proper divisors (65261652094079).

212121101112193 is a wasteful number, since it uses less digits than its factorization.

212121101112193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299714.

The product of its (nonzero) digits is 432, while the sum is 28.

The spelling of 212121101112193 in words is "two hundred twelve trillion, one hundred twenty-one billion, one hundred one million, one hundred twelve thousand, one hundred ninety-three".

Divisors: 1 7 13 17 91 119 221 383 1201 1547 2681 4979 6511 8407 15613 20417 34853 45577 84643 109291 142919 265421 298093 459983 592501 1857947 2086651 3219881 3875209 5067581 5979779 7819711 27126463 35473067 41858453 54737977 65878553 101656243 114169619 358009693 461149871 711593701 799187333 1484205047 1940883523 2506067851 4654126009 6086164781 10389435329 13586184661 25231485799 32578882063 42603153467 79120142153 137117712419 176620400593 553840995071 959823986933 1782530261447 2331001111123 12477711830129 16317007777861 30303014444599 212121101112193