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213099975 = 325211292969
BaseRepresentation
bin11001011001110…
…10010111000111
3112211222121012200
430230322113013
5414023144400
633051245543
75165214504
oct1454722707
9484877180
10213099975
11aa320190
125b4498b3
13351c2b7a
14204324ab
1513a95b00
hexcb3a5c7

213099975 has 72 divisors (see below), whose sum is σ = 430887600. Its totient is φ = 99724800.

The previous prime is 213099973. The next prime is 213099977. The reversal of 213099975 is 579990312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (213099973) and next prime (213099977).

It is not a de Polignac number, because 213099975 - 21 = 213099973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 213099975.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213099973) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 70291 + ... + 73259.

It is an arithmetic number, because the mean of its divisors is an integer number (5984550).

Almost surely, 2213099975 is an apocalyptic number.

213099975 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

213099975 is an abundant number, since it is smaller than the sum of its proper divisors (217787625).

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

213099975 is a wasteful number, since it uses less digits than its factorization.

213099975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3025 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 153090, while the sum is 45.

The square root of 213099975 is about 14597.9442045789. The cubic root of 213099975 is about 597.3026839812.

The spelling of 213099975 in words is "two hundred thirteen million, ninety-nine thousand, nine hundred seventy-five".

Divisors: 1 3 5 9 11 15 25 29 33 45 55 75 87 99 145 165 225 261 275 319 435 495 725 825 957 1305 1595 2175 2475 2871 2969 4785 6525 7975 8907 14355 14845 23925 26721 32659 44535 71775 74225 86101 97977 133605 163295 222675 258303 293931 430505 489885 668025 774909 816475 947111 1291515 1469655 2152525 2449425 2841333 3874545 4735555 6457575 7348275 8523999 14206665 19372725 23677775 42619995 71033325 213099975