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212011110344319 = 311134734930128537
BaseRepresentation
bin110000001101001010101110…
…111010111010011001111111
31000210200001201210210010112220
4300031022232322322121333
5210242042223222004234
62030524320504500423
762441203645600446
oct6015125672723177
91023601653703486
10212011110344319
116160a4527422a0
121b94120ba7a713
13913b73c6cc0b0
143a4d56cdd7d5d
151979d67598a49
hexc0d2aeeba67f

212011110344319 has 64 divisors (see below), whose sum is σ = 340139142604800. Its totient is φ = 115751425029120.

The previous prime is 212011110344221. The next prime is 212011110344339. The reversal of 212011110344319 is 913443011110212.

It is not a de Polignac number, because 212011110344319 - 213 = 212011110336127 is a prime.

It is a super-2 number, since 2×2120111103443192 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 212011110344319.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212011110344339) 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, 8027382 + ... + 22101155.

It is an arithmetic number, because the mean of its divisors is an integer number (5314674103200).

Almost surely, 2212011110344319 is an apocalyptic number.

212011110344319 is a deficient number, since it is larger than the sum of its proper divisors (128128032260481).

212011110344319 is a wasteful number, since it uses less digits than its factorization.

212011110344319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30128960.

The product of its (nonzero) digits is 5184, while the sum is 33.

The spelling of 212011110344319 in words is "two hundred twelve trillion, eleven billion, one hundred ten million, three hundred forty-four thousand, three hundred nineteen".

Divisors: 1 3 11 13 33 39 47 141 143 349 429 517 611 1047 1551 1833 3839 4537 6721 11517 13611 16403 20163 49209 49907 149721 180433 213239 541299 639717 2345629 7036887 30128537 90385611 331413907 391670981 994241721 1175012943 1416041239 4248123717 4308380791 10514859413 12925142373 15576453629 18408536107 31544578239 46729360887 55225608321 115663453543 136693172369 202493897177 346990360629 410079517107 494198392411 607481691531 1482595177233 1503624896059 4510874688177 5436182316521 6424579101343 16308546949563 19273737304029 70670370114773 212011110344319