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213130782 = 23271792111
BaseRepresentation
bin11001011010000…
…01111000011110
3112212001011110200
430231001320132
5414030141112
633052044330
75165403354
oct1455017036
9485034420
10213130782
11aa341347
125b4636a6
1335203bb7
142043d7d4
1513a9ecdc
hexcb41e1e

213130782 has 48 divisors (see below), whose sum is σ = 474439680. Its totient is φ = 69123600.

The previous prime is 213130741. The next prime is 213130783. The reversal of 213130782 is 287031312.

213130782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213130783) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99907 + ... + 102017.

It is an arithmetic number, because the mean of its divisors is an integer number (9884160).

Almost surely, 2213130782 is an apocalyptic number.

213130782 is an abundant number, since it is smaller than the sum of its proper divisors (261308898).

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

213130782 is a wasteful number, since it uses less digits than its factorization.

213130782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2269 (or 2266 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 213130782 is about 14598.9993492705. Note that the first 3 decimals coincide. The cubic root of 213130782 is about 597.3314658040.

The spelling of 213130782 in words is "two hundred thirteen million, one hundred thirty thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 71 79 142 158 213 237 426 474 639 711 1278 1422 2111 4222 5609 6333 11218 12666 16827 18999 33654 37998 50481 100962 149881 166769 299762 333538 449643 500307 899286 1000614 1348929 1500921 2697858 3001842 11840599 23681198 35521797 71043594 106565391 213130782