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211300210012032 = 2732800712290721
BaseRepresentation
bin110000000010110100101001…
…111101010110111110000000
31000201011002202221101110222100
4300002310221331112332000
5210143420312230341112
62025221550523310400
762335636116510501
oct6002645175267600
91021132687343870
10211300210012032
1161365a08a6a719
121b84749097b400
1390b96a7b92cbb
143a26db0168ba8
15196660b58d2dc
hexc02d29f56f80

211300210012032 has 96 divisors (see below), whose sum is σ = 608046223926960. Its totient is φ = 70432492953600.

The previous prime is 211300210012027. The next prime is 211300210012127. The reversal of 211300210012032 is 230210012003112.

211300210012032 is a `hidden beast` number, since 2 + 1 + 1 + 300 + 210 + 0 + 120 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2113002100120322 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 211300210011996 and 211300210012014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 91096432 + ... + 93387152.

Almost surely, 2211300210012032 is an apocalyptic number.

It is an amenable number.

211300210012032 is an abundant number, since it is smaller than the sum of its proper divisors (396746013914928).

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

211300210012032 is a wasteful number, since it uses less digits than its factorization.

211300210012032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2370812 (or 2370797 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 211300210012032 its reverse (230210012003112), we get a palindrome (441510222015144).

The spelling of 211300210012032 in words is "two hundred eleven trillion, three hundred billion, two hundred ten million, twelve thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 80071 160142 240213 320284 480426 640568 720639 960852 1281136 1441278 1921704 2290721 2562272 2882556 3843408 4581442 5124544 5765112 6872163 7686816 9162884 10249088 11530224 13744326 15373632 18325768 20616489 23060448 27488652 30747264 36651536 41232978 46120896 54977304 73303072 82465956 92241792 109954608 146606144 164931912 219909216 293212288 329863824 439818432 659727648 879636864 1319455296 2638910592 183420321191 366840642382 550260963573 733681284764 1100521927146 1467362569528 1650782890719 2201043854292 2934725139056 3301565781438 4402087708584 5869450278112 6603131562876 8804175417168 11738900556224 13206263125752 17608350834336 23477801112448 26412526251504 35216701668672 52825052503008 70433403337344 105650105006016 211300210012032