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212103141301212 = 223723389513121067
BaseRepresentation
bin110000001110100000011100…
…011001001001101111011100
31000210222212021121021010202220
4300032200130121021233130
5210300044213133114322
62031034500555345340
762450642366041230
oct6016403431115734
91023885247233686
10212103141301212
1161645489824357
121b957014a52250
1391473182170c5
143a53bbd92c5c0
15197c451da055c
hexc0e81c649bdc

212103141301212 has 96 divisors (see below), whose sum is σ = 568046918380032. Its totient is φ = 60339635321856.

The previous prime is 212103141301187. The next prime is 212103141301217.

212103141301212 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212103141301217) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751887903 + ... + 1752008969.

It is an arithmetic number, because the mean of its divisors is an integer number (5917155399792).

Almost surely, 2212103141301212 is an apocalyptic number.

It is an amenable number.

212103141301212 is an abundant number, since it is smaller than the sum of its proper divisors (355943777078820).

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

212103141301212 is a wasteful number, since it uses less digits than its factorization.

212103141301212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210827 (or 210825 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 212103141301212 in words is "two hundred twelve trillion, one hundred three billion, one hundred forty-one million, three hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 233 466 699 932 1398 1631 2796 3262 4893 6524 9786 19572 89513 121067 179026 242134 268539 358052 363201 484268 537078 626591 726402 847469 1074156 1253182 1452804 1694938 1879773 2506364 2542407 3389876 3759546 5084814 7519092 10169628 20856529 28208611 41713058 56417222 62569587 83426116 84625833 112834444 125139174 145995703 169251666 197460277 250278348 291991406 338503332 394920554 437987109 583982812 592380831 789841108 875974218 1184761662 1751948436 2369523324 10837070371 21674140742 32511211113 43348281484 65022422226 75859492597 130044844452 151718985194 227578477791 303437970388 455156955582 910313911164 2525037396443 5050074792886 7575112189329 10100149585772 15150224378658 17675261775101 30300448757316 35350523550202 53025785325303 70701047100404 106051570650606 212103141301212