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213001371 = 32117329473
BaseRepresentation
bin11001011001000…
…10010010011011
3112211210120221200
430230202102123
5414012020441
633045205243
75164324152
oct1454422233
9484716850
10213001371
11aa2630a0
125b400823
133518a01b
1420408599
1513a767b6
hexcb2249b

213001371 has 24 divisors (see below), whose sum is σ = 340247856. Its totient is φ = 127319040.

The previous prime is 213001363. The next prime is 213001379. The reversal of 213001371 is 173100312.

It is an interprime number because it is at equal distance from previous prime (213001363) and next prime (213001379).

It is not a de Polignac number, because 213001371 - 23 = 213001363 is a prime.

It is not an unprimeable number, because it can be changed into a prime (213001379) 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 23 ways as a sum of consecutive naturals, for example, 7510 + ... + 21963.

It is an arithmetic number, because the mean of its divisors is an integer number (14176994).

Almost surely, 2213001371 is an apocalyptic number.

213001371 is a deficient number, since it is larger than the sum of its proper divisors (127246485).

213001371 is a wasteful number, since it uses less digits than its factorization.

213001371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29563 (or 29560 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 213001371 is about 14594.5664889369. The cubic root of 213001371 is about 597.2105433162.

Adding to 213001371 its reverse (173100312), we get a palindrome (386101683).

The spelling of 213001371 in words is "two hundred thirteen million, one thousand, three hundred seventy-one".

Divisors: 1 3 9 11 33 73 99 219 657 803 2409 7227 29473 88419 265257 324203 972609 2151529 2917827 6454587 19363761 23666819 71000457 213001371