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212110002 = 234132329151
BaseRepresentation
bin11001010010010…
…00101010110010
3112210010022020000
430221020222302
5413300010002
633014130430
75153622336
oct1451105262
9483108200
10212110002
11a9804425
125b050a16
1334c373a0
14202557c6
151394c61c
hexca48ab2

212110002 has 160 divisors (see below), whose sum is σ = 556174080. Its totient is φ = 59875200.

The previous prime is 212110001. The next prime is 212110079. The reversal of 212110002 is 200011212.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212110001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1404627 + ... + 1404777.

It is an arithmetic number, because the mean of its divisors is an integer number (3476088).

Almost surely, 2212110002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212110002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278087040).

212110002 is an abundant number, since it is smaller than the sum of its proper divisors (344064078).

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

212110002 is a wasteful number, since it uses less digits than its factorization.

212110002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 212110002 is about 14563.9967728642. The cubic root of 212110002 is about 596.3763088290.

Adding to 212110002 its reverse (200011212), we get a palindrome (412121214).

The spelling of 212110002 in words is "two hundred twelve million, one hundred ten thousand, two".

Divisors: 1 2 3 6 9 13 18 23 26 27 29 39 46 54 58 69 78 81 87 117 138 151 162 174 207 234 261 299 302 351 377 414 453 522 598 621 667 702 754 783 897 906 1053 1131 1242 1334 1359 1566 1794 1863 1963 2001 2106 2262 2349 2691 2718 3393 3473 3726 3926 4002 4077 4379 4698 5382 5889 6003 6786 6946 8073 8154 8671 8758 10179 10419 11778 12006 12231 13137 16146 17342 17667 18009 20358 20838 24219 24462 26013 26274 30537 31257 35334 36018 39411 45149 48438 52026 53001 54027 56927 61074 62514 78039 78822 90298 93771 100717 106002 108054 113854 118233 135447 156078 159003 170781 187542 201434 234117 236466 270894 281313 302151 318006 341562 354699 406341 468234 512343 562626 604302 702351 709398 812682 906453 1024686 1219023 1309321 1404702 1537029 1812906 2438046 2618642 2719359 3074058 3657069 3927963 4611087 5438718 7314138 7855926 8158077 9222174 11783889 16316154 23567778 35351667 70703334 106055001 212110002