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120210132100221 = 364319919270457
BaseRepresentation
bin11011010101010010011010…
…001110001110010001111101
3120202121222100210101202000000
4123111102122032032101331
5111224010322304201341
61103355434453024513
734214616064442022
oct3325223216162175
9522558323352000
10120210132100221
1135336915776259
1211595642025139
13520c9c7908a07
1421982b6a5d549
15dd6e1c37d8b6
hex6d549a38e47d

120210132100221 has 56 divisors (see below), whose sum is σ = 185350973227200. Its totient is φ = 77883012478656.

The previous prime is 120210132100193. The next prime is 120210132100259. The reversal of 120210132100221 is 122001231012021.

120210132100221 is a `hidden beast` number, since 1 + 2 + 0 + 210 + 132 + 100 + 221 = 666.

It is not a de Polignac number, because 120210132100221 - 217 = 120210131969149 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 120210132100194 and 120210132100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210132100921) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3397176 + ... + 15873281.

Almost surely, 2120210132100221 is an apocalyptic number.

It is an amenable number.

120210132100221 is a deficient number, since it is larger than the sum of its proper divisors (65140841126979).

120210132100221 is an equidigital number, since it uses as much as digits as its factorization.

120210132100221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19270717 (or 19270702 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120210132100221 its reverse (122001231012021), we get a palindrome (242211363112242).

The spelling of 120210132100221 in words is "one hundred twenty trillion, two hundred ten billion, one hundred thirty-two million, one hundred thousand, two hundred twenty-one".

Divisors: 1 3 9 27 43 81 129 199 243 387 597 729 1161 1791 3483 5373 8557 10449 16119 25671 31347 48357 77013 145071 231039 693117 2079351 6238053 19270457 57811371 173434113 520302339 828629651 1560907017 2485888953 3834820943 4682721051 7457666859 11504462829 14048163153 22373000577 34513388487 67119001731 103540165461 164897300549 201357005193 310620496383 494691901647 604071015579 931861489149 1484075704941 2795584467447 4452227114823 13356681344469 40070044033407 120210132100221