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210201102012 = 223116192572589
BaseRepresentation
bin1100001111000011110…
…1100100011010111100
3202002120021110100201110
43003300331210122330
511420442440231022
6240322015042020
721120656613126
oct3036075443274
9662507410643
10210201102012
1181167051120
12348a3b10310
1316a8b88b405
14a260c32216
155703d0800c
hex30f0f646bc

210201102012 has 48 divisors (see below), whose sum is σ = 535921948800. Its totient is φ = 63594375360.

The previous prime is 210201101989. The next prime is 210201102049.

210201102012 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1204587 + ... + 1368002.

It is an arithmetic number, because the mean of its divisors is an integer number (11165040600).

Almost surely, 2210201102012 is an apocalyptic number.

210201102012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210201102012 is an abundant number, since it is smaller than the sum of its proper divisors (325720846788).

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

210201102012 is a wasteful number, since it uses less digits than its factorization.

210201102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573226 (or 2573224 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

It can be divided in two parts, 210201 and 102012, that added together give a palindrome (312213).

The spelling of 210201102012 in words is "two hundred ten billion, two hundred one million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 619 1238 1857 2476 3714 6809 7428 13618 20427 27236 40854 81708 2572589 5145178 7717767 10290356 15435534 28298479 30871068 56596958 84895437 113193916 169790874 339581748 1592432591 3184865182 4777297773 6369730364 9554595546 17516758501 19109191092 35033517002 52550275503 70067034004 105100551006 210201102012