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211231113021000 = 23325323470123669
BaseRepresentation
bin110000000001110100010011…
…011101010000011001001000
31000200220111102110012122112100
4300001310103131100121020
5210141302304413133000
62025130122251113400
762330641616001162
oct6001642335203110
91020814373178470
10211231113021000
1161339680575656
121b836008442860
1390b30158567a7
143a238d7453932
1519649153a0a00
hexc01d13750648

211231113021000 has 96 divisors (see below), whose sum is σ = 713961162041400. Its totient is φ = 56328296803200.

The previous prime is 211231113020981. The next prime is 211231113021001. The reversal of 211231113021000 is 120311132112.

211231113021000 is a `hidden beast` number, since 2 + 1 + 12 + 311 + 130 + 210 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61648282096164 + 149582830924836 = 7851642^2 + 12230406^2 .

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

It is not an unprimeable number, because it can be changed into a prime (211231113021001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11735052835 + ... + 11735070834.

Almost surely, 2211231113021000 is an apocalyptic number.

211231113021000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211231113021000 is an abundant number, since it is smaller than the sum of its proper divisors (502730049020400).

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

211231113021000 is a wasteful number, since it uses less digits than its factorization.

211231113021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23470123696 (or 23470123679 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 211231113021000 its reverse (120311132112), we get a palindrome (211351424153112).

The spelling of 211231113021000 in words is "two hundred eleven trillion, two hundred thirty-one billion, one hundred thirteen million, twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 23470123669 46940247338 70410371007 93880494676 117350618345 140820742014 187760989352 211231113021 234701236690 281641484028 352051855035 422462226042 469402473380 563282968056 586753091725 704103710070 844924452084 938804946760 1056155565105 1173506183450 1408207420140 1689848904168 1760259275175 2112311130210 2347012366900 2816414840280 2933765458625 3520518550350 4224622260420 4694024733800 5280777825525 5867530917250 7041037100700 8449244520840 8801296375875 10561555651050 11735061834500 14082074201400 17602592751750 21123111302100 23470123669000 26403889127625 35205185503500 42246222604200 52807778255250 70410371007000 105615556510500 211231113021000