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212136102 = 232192973293
BaseRepresentation
bin11001010010011…
…11000010100110
3112210011122000200
430221033002212
5413301323402
633014451330
75154061413
oct1451170246
9483148020
10212136102
11a9821aa2
125b063b46
1334c46229
142026110a
151395521c
hexca4f0a6

212136102 has 96 divisors (see below), whose sum is σ = 509090400. Its totient is φ = 63576576.

The previous prime is 212136053. The next prime is 212136139. The reversal of 212136102 is 201631212.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 723868 + ... + 724160.

It is an arithmetic number, because the mean of its divisors is an integer number (5303025).

Almost surely, 2212136102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212136102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254545200).

212136102 is an abundant number, since it is smaller than the sum of its proper divisors (296954298).

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

212136102 is a wasteful number, since it uses less digits than its factorization.

212136102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 212136102 is about 14564.8927905426. The cubic root of 212136102 is about 596.4007690668.

Adding to 212136102 its reverse (201631212), we get a palindrome (413767314).

The spelling of 212136102 in words is "two hundred twelve million, one hundred thirty-six thousand, one hundred two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 73 87 114 146 171 174 219 261 293 342 438 522 551 586 657 879 1102 1314 1387 1653 1758 2117 2637 2774 3306 4161 4234 4959 5274 5567 6351 8322 8497 9918 11134 12483 12702 16701 16994 19053 21389 24966 25491 33402 38106 40223 42778 50103 50982 64167 76473 80446 100206 120669 128334 152946 161443 192501 241338 322886 362007 385002 406391 484329 620281 724014 812782 968658 1219173 1240562 1452987 1860843 2438346 2905974 3657519 3721686 5582529 7315038 11165058 11785339 23570678 35356017 70712034 106068051 212136102