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211317713112 = 233114791671077
BaseRepresentation
bin1100010011001110000…
…1000110100011011000
3202012110002120002012010
43010303201012203120
511430234313304422
6241024503545520
721160435632102
oct3046341064330
9665402502163
10211317713112
118168a381610
1234b55a5b2a0
1316c09006b3c
14a329256572
15576bd70b0c
hex31338468d8

211317713112 has 64 divisors (see below), whose sum is σ = 577524556800. Its totient is φ = 63901946240.

The previous prime is 211317713099. The next prime is 211317713137.

It is a happy number.

211317713112 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 211317713112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 709083 + ... + 961994.

It is an arithmetic number, because the mean of its divisors is an integer number (9023821200).

Almost surely, 2211317713112 is an apocalyptic number.

211317713112 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211317713112 is an abundant number, since it is smaller than the sum of its proper divisors (366206843688).

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

211317713112 is a wasteful number, since it uses less digits than its factorization.

211317713112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671576 (or 1671572 counting only the distinct ones).

The product of its digits is 1764, while the sum is 30.

It can be divided in two parts, 211317 and 713112, that added together give a palindrome (924429).

The spelling of 211317713112 in words is "two hundred eleven billion, three hundred seventeen million, seven hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 479 958 1437 1916 2874 3832 5269 5748 10538 11496 15807 21076 31614 42152 63228 126456 1671077 3342154 5013231 6684308 10026462 13368616 18381847 20052924 36763694 40105848 55145541 73527388 110291082 147054776 220582164 441164328 800445883 1600891766 2401337649 3201783532 4802675298 6403567064 8804904713 9605350596 17609809426 19210701192 26414714139 35219618852 52829428278 70439237704 105658856556 211317713112