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211033134 = 23313521577
BaseRepresentation
bin11001001010000…
…01110000101110
3112201002121001000
430211001300232
5413011030014
632535101130
75141515644
oct1445016056
9481077030
10211033134
11a9139354
125a8117a6
133494b1a0
1420055194
15137d8509
hexc941c2e

211033134 has 64 divisors (see below), whose sum is σ = 506882880. Its totient is φ = 64696320.

The previous prime is 211033129. The next prime is 211033139. The reversal of 211033134 is 431330112.

It is an interprime number because it is at equal distance from previous prime (211033129) and next prime (211033139).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211033139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 365454 + ... + 366030.

It is an arithmetic number, because the mean of its divisors is an integer number (7920045).

Almost surely, 2211033134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211033134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253441440).

211033134 is an abundant number, since it is smaller than the sum of its proper divisors (295849746).

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

211033134 is a wasteful number, since it uses less digits than its factorization.

211033134 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 211033134 is about 14526.9795208777. The cubic root of 211033134 is about 595.3653420885.

Adding to 211033134 its reverse (431330112), we get a palindrome (642363246).

The spelling of 211033134 in words is "two hundred eleven million, thirty-three thousand, one hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 521 577 702 1042 1154 1563 1731 3126 3462 4689 5193 6773 7501 9378 10386 13546 14067 15002 15579 20319 22503 28134 31158 40638 45006 60957 67509 121914 135018 182871 202527 300617 365742 405054 601234 901851 1803702 2705553 3908021 5411106 7816042 8116659 11724063 16233318 23448126 35172189 70344378 105516567 211033134