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202102212 = 223131012127
BaseRepresentation
bin11000000101111…
…01010111000100
3112002021212010010
430002331113010
5403214232322
632015430220
75002561164
oct1402752704
9462255103
10202102212
11a4099424
1257825370
1332b42110
141cbac5a4
1512b2220c
hexc0bd5c4

202102212 has 72 divisors (see below), whose sum is σ = 516963328. Its totient is φ = 61084800.

The previous prime is 202102207. The next prime is 202102223. The reversal of 202102212 is 212201202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 23 ways as a sum of consecutive naturals, for example, 1591293 + ... + 1591419.

Almost surely, 2202102212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202102212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258481664).

202102212 is an abundant number, since it is smaller than the sum of its proper divisors (314861116).

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

202102212 is a wasteful number, since it uses less digits than its factorization.

202102212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 202102212 is about 14216.2657544096. The cubic root of 202102212 is about 586.8453787216.

Adding to 202102212 its reverse (212201202), we get a palindrome (414303414).

It can be divided in two parts, 20210 and 2212, that added together give a palindrome (22422).

The spelling of 202102212 in words is "two hundred two million, one hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 101 127 156 202 254 303 381 404 508 606 762 1212 1313 1524 1651 2626 3302 3939 4953 5252 6604 7878 9906 10201 12827 15756 19812 20402 25654 30603 38481 40804 51308 61206 76962 122412 132613 153924 166751 265226 333502 397839 500253 530452 667004 795678 1000506 1295527 1591356 2001012 2591054 3886581 5182108 7773162 15546324 16841851 33683702 50525553 67367404 101051106 202102212