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211013145 = 32571935257
BaseRepresentation
bin11001001001111…
…00111000011001
3112201001120121200
430210330320121
5413004410040
632534424413
75141403450
oct1444747031
9481046550
10211013145
11a9125332
125a802109
1334942065
142004bb97
15137d2630
hexc93ce19

211013145 has 48 divisors (see below), whose sum is σ = 440019840. Its totient is φ = 91383552.

The previous prime is 211013119. The next prime is 211013147. The reversal of 211013145 is 541310112.

211013145 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 211013145 - 214 = 210996761 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (211013147) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11644 + ... + 23613.

It is an arithmetic number, because the mean of its divisors is an integer number (9167080).

Almost surely, 2211013145 is an apocalyptic number.

It is an amenable number.

211013145 is an abundant number, since it is smaller than the sum of its proper divisors (229006695).

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

211013145 is a wasteful number, since it uses less digits than its factorization.

211013145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35294 (or 35291 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 211013145 is about 14526.2915088470. The cubic root of 211013145 is about 595.3465438815.

Adding to 211013145 its reverse (541310112), we get a palindrome (752323257).

The spelling of 211013145 in words is "two hundred eleven million, thirteen thousand, one hundred forty-five".

Divisors: 1 3 5 7 9 15 19 21 35 45 57 63 95 105 133 171 285 315 399 665 855 1197 1995 5985 35257 105771 176285 246799 317313 528855 669883 740397 1233995 1586565 2009649 2221191 3349415 3701985 4689181 6028947 10048245 11105955 14067543 23445905 30144735 42202629 70337715 211013145