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212400422001 = 32193897194441
BaseRepresentation
bin1100010111010000001…
…1010011110001110001
3202022020112212101120100
43011310003103301301
511434444002001001
6241324142103013
721226323540555
oct3056403236161
9668215771510
10212400422001
1182095556849
12351b857aa69
131704c4123a1
14a3ccd73865
1557d1e3d586
hex31740d3c71

212400422001 has 48 divisors (see below), whose sum is σ = 324301536000. Its totient is φ = 133586599680.

The previous prime is 212400421993. The next prime is 212400422029. The reversal of 212400422001 is 100224004212.

212400422001 is a `hidden beast` number, since 2 + 1 + 240 + 0 + 422 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 212400422001 - 23 = 212400421993 is a prime.

It is a super-2 number, since 2×2124004220012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212400424001) 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, 47824941 + ... + 47829381.

It is an arithmetic number, because the mean of its divisors is an integer number (6756282000).

Almost surely, 2212400422001 is an apocalyptic number.

It is an amenable number.

212400422001 is a deficient number, since it is larger than the sum of its proper divisors (111901113999).

212400422001 is a wasteful number, since it uses less digits than its factorization.

212400422001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5571 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212400422001 its reverse (100224004212), we get a palindrome (312624426213).

The spelling of 212400422001 in words is "two hundred twelve billion, four hundred million, four hundred twenty-two thousand, one".

Divisors: 1 3 9 19 57 171 389 719 1167 2157 3501 4441 6471 7391 13323 13661 22173 39969 40983 66519 84379 122949 253137 279691 759411 839073 1727549 2517219 3193079 5182647 5314129 9579237 15547941 15942387 28737711 32823431 47827161 60668501 98470293 182005503 295410879 546016509 1242107731 3726323193 11178969579 23600046889 70800140667 212400422001