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211612010085 = 33571929406403
BaseRepresentation
bin1100010100010100001…
…1110000011001100101
3202020012121022220202000
43011011003300121211
511431340133310320
6241114015435513
721200641256550
oct3050503603145
9666177286660
10211612010085
1181820510253
1235018525b99
1316c54c88b68
14a356383697
155787b04c90
hex31450f0665

211612010085 has 128 divisors (see below), whose sum is σ = 468177408000. Its totient is φ = 88485094656.

The previous prime is 211612010069. The next prime is 211612010087. The reversal of 211612010085 is 580010216112.

It is not a de Polignac number, because 211612010085 - 24 = 211612010069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211612010087) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 317494 + ... + 723896.

It is an arithmetic number, because the mean of its divisors is an integer number (3657636000).

Almost surely, 2211612010085 is an apocalyptic number.

It is an amenable number.

211612010085 is an abundant number, since it is smaller than the sum of its proper divisors (256565397915).

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

211612010085 is a wasteful number, since it uses less digits than its factorization.

211612010085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406472 (or 406466 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 27.

Adding to 211612010085 its reverse (580010216112), we get a palindrome (791622226197).

The spelling of 211612010085 in words is "two hundred eleven billion, six hundred twelve million, ten thousand, eighty-five".

Divisors: 1 3 5 7 9 15 19 21 27 29 35 45 57 63 87 95 105 133 135 145 171 189 203 261 285 315 399 435 513 551 609 665 783 855 945 1015 1197 1305 1653 1827 1995 2565 2755 3045 3591 3857 3915 4959 5481 5985 8265 9135 11571 14877 17955 19285 24795 27405 34713 57855 74385 104139 173565 406403 520695 1219209 2032015 2844821 3657627 6096045 7721657 8534463 10972881 11785687 14224105 18288135 23164971 25603389 35357061 38608285 42672315 54051599 54864405 58928435 69494913 76810167 82499809 106071183 115824855 128016945 162154797 176785305 208484739 223928053 247499427 270257995 318213549 347474565 384050835 412499045 486464391 530355915 671784159 742498281 810773985 1042423695 1119640265 1237497135 1459393173 1567496371 1591067745 2015352477 2227494843 2432321955 3358920795 3712491405 4702489113 6046057431 7296965865 7837481855 10076762385 11137474215 14107467339 23512445565 30230287155 42322402017 70537336695 211612010085