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202104312 = 233231093359
BaseRepresentation
bin11000000101111…
…01110111111000
3112002021221222220
430002331313320
5403214314222
632015444040
75002600254
oct1402756770
9462257886
10202104312
11a409aa63
1257826620
1332b43067
141cbad264
1512b22b5c
hexc0bddf8

202104312 has 64 divisors (see below), whose sum is σ = 532224000. Its totient is φ = 63828864.

The previous prime is 202104307. The next prime is 202104319. The reversal of 202104312 is 213401202.

It is a junction number, because it is equal to n+sod(n) for n = 202104291 and 202104300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202104319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 58489 + ... + 61847.

It is an arithmetic number, because the mean of its divisors is an integer number (8316000).

Almost surely, 2202104312 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 202104312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266112000).

202104312 is an abundant number, since it is smaller than the sum of its proper divisors (330119688).

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

202104312 is a wasteful number, since it uses less digits than its factorization.

202104312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3500 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 202104312 is about 14216.3396132760. The cubic root of 202104312 is about 586.8474113087.

Adding to 202104312 its reverse (213401202), we get a palindrome (415505514).

It can be divided in two parts, 2021043 and 12, that added together give a triangular number (2021055 = T2010).

The spelling of 202104312 in words is "two hundred two million, one hundred four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 109 138 184 218 276 327 436 552 654 872 1308 2507 2616 3359 5014 6718 7521 10028 10077 13436 15042 20056 20154 26872 30084 40308 60168 77257 80616 154514 231771 309028 366131 463542 618056 732262 927084 1098393 1464524 1854168 2196786 2929048 4393572 8421013 8787144 16842026 25263039 33684052 50526078 67368104 101052156 202104312