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202102012 = 227192383199
BaseRepresentation
bin11000000101111…
…01010011111100
3112002021211211201
430002331103330
5403214231022
632015425244
75002560460
oct1402752374
9462254751
10202102012
11a4099262
1257825224
1332b41cb8
141cbac4a0
1512b22127
hexc0bd4fc

202102012 has 96 divisors (see below), whose sum is σ = 451584000. Its totient is φ = 77153472.

The previous prime is 202102003. The next prime is 202102039. The reversal of 202102012 is 210201202.

It is a self number, because there is not a number n which added to its sum of digits gives 202102012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1015489 + ... + 1015687.

It is an arithmetic number, because the mean of its divisors is an integer number (4704000).

Almost surely, 2202102012 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 202102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225792000).

202102012 is an abundant number, since it is smaller than the sum of its proper divisors (249481988).

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

202102012 is a wasteful number, since it uses less digits than its factorization.

202102012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 202102012 is about 14216.2587202119. The cubic root of 202102012 is about 586.8451851411.

Adding to 202102012 its reverse (210201202), we get a palindrome (412303214).

It can be divided in two parts, 20210 and 2012, that added together give a palindrome (22222).

The spelling of 202102012 in words is "two hundred two million, one hundred two thousand, twelve".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 83 92 133 161 166 199 266 322 332 398 437 532 581 644 796 874 1162 1393 1577 1748 1909 2324 2786 3059 3154 3781 3818 4577 5572 6118 6308 7562 7636 9154 11039 12236 13363 15124 16517 18308 22078 26467 26726 32039 33034 36271 44156 52934 53452 64078 66068 72542 86963 105868 115619 128156 145084 173926 231238 253897 313823 347852 379891 462476 507794 608741 627646 759782 1015588 1217482 1255292 1519564 2196761 2434964 2659237 4393522 5318474 7217929 8787044 10636948 14435858 28871716 50525503 101051006 202102012