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213001032 = 23337923417
BaseRepresentation
bin11001011001000…
…10001101001000
3112211210120111010
430230202031020
5414012013112
633045203520
75164323156
oct1454421510
9484716433
10213001032
11aa262912
125b4005a0
1335189b1a
14204083d6
1513a7663c
hexcb22348

213001032 has 32 divisors (see below), whose sum is σ = 533930400. Its totient is φ = 70809984.

The previous prime is 213001003. The next prime is 213001049. The reversal of 213001032 is 230100312.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 213000999 and 213001017.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2613 + ... + 20804.

It is an arithmetic number, because the mean of its divisors is an integer number (16685325).

Almost surely, 2213001032 is an apocalyptic number.

It is an amenable number.

213001032 is an abundant number, since it is smaller than the sum of its proper divisors (320929368).

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

213001032 is a wasteful number, since it uses less digits than its factorization.

213001032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23805 (or 23801 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 213001032 is about 14594.5548750210. The cubic root of 213001032 is about 597.2102264881.

Adding to 213001032 its reverse (230100312), we get a palindrome (443101344).

The spelling of 213001032 in words is "two hundred thirteen million, one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 24 379 758 1137 1516 2274 3032 4548 9096 23417 46834 70251 93668 140502 187336 281004 562008 8875043 17750086 26625129 35500172 53250258 71000344 106500516 213001032