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213002132 = 227101109691
BaseRepresentation
bin11001011001000…
…10011110010100
3112211210121222212
430230202132110
5414012032012
633045212552
75164326320
oct1454423624
9484717885
10213002132
11aa263722
125b401158
133518a485
1420408980
1513a76b22
hexcb22794

213002132 has 48 divisors (see below), whose sum is σ = 434797440. Its totient is φ = 89424000.

The previous prime is 213002131. The next prime is 213002137. The reversal of 213002132 is 231200312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213002131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 307907 + ... + 308597.

It is an arithmetic number, because the mean of its divisors is an integer number (9058280).

Almost surely, 2213002132 is an apocalyptic number.

It is an amenable number.

213002132 is an abundant number, since it is smaller than the sum of its proper divisors (221795308).

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

213002132 is a wasteful number, since it uses less digits than its factorization.

213002132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 213002132 is about 14594.5925602601. The cubic root of 213002132 is about 597.2112545427.

Adding to 213002132 its reverse (231200312), we get a palindrome (444202444).

It can be divided in two parts, 21300 and 2132, that added together give a palindrome (23432).

The spelling of 213002132 in words is "two hundred thirteen million, two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 101 109 202 218 404 436 691 707 763 1382 1414 1526 2764 2828 3052 4837 9674 11009 19348 22018 44036 69791 75319 77063 139582 150638 154126 279164 301276 308252 488537 527233 977074 1054466 1954148 2108932 7607219 15214438 30428876 53250533 106501066 213002132