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212141202 = 237133710501
BaseRepresentation
bin11001010010100…
…00010010010010
3112210011220000120
430221100102102
5413302004302
633014531110
75154112320
oct1451202222
9483156016
10212141202
11a9825909
125b066a96
1334c48650
1420262d10
15139569bc
hexca50492

212141202 has 64 divisors (see below), whose sum is σ = 536358144. Its totient is φ = 54432000.

The previous prime is 212141191. The next prime is 212141203. The reversal of 212141202 is 202141212.

It is not an unprimeable number, because it can be changed into a prime (212141203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14952 + ... + 25452.

It is an arithmetic number, because the mean of its divisors is an integer number (8380596).

Almost surely, 2212141202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212141202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268179072).

212141202 is an abundant number, since it is smaller than the sum of its proper divisors (324216942).

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

212141202 is a wasteful number, since it uses less digits than its factorization.

212141202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10563.

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 212141202 is about 14565.0678680190. The cubic root of 212141202 is about 596.4055484192.

Adding to 212141202 its reverse (202141212), we get a palindrome (414282414).

The spelling of 212141202 in words is "two hundred twelve million, one hundred forty-one thousand, two hundred two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 182 222 259 273 481 518 546 777 962 1443 1554 2886 3367 6734 10101 10501 20202 21002 31503 63006 73507 136513 147014 220521 273026 388537 409539 441042 777074 819078 955591 1165611 1911182 2331222 2719759 2866773 5050981 5439518 5733546 8159277 10101962 15152943 16318554 30305886 35356867 70713734 106070601 212141202