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1210121214141 = 37329211192191
BaseRepresentation
bin10001100111000000110…
…110000101100010111101
311021200112102120001122110
4101213000312011202331
5124311312012323031
62323531053204233
7153266634414000
oct21470066054275
94250472501573
101210121214141
11427233972084
12176643190679
138a163435908
14427da801537
152172853dc46
hex119c0d858bd

1210121214141 has 64 divisors (see below), whose sum is σ = 1955745792000. Its totient is φ = 664485393600.

The previous prime is 1210121214103. The next prime is 1210121214191. The reversal of 1210121214141 is 1414121210121.

It is not a de Polignac number, because 1210121214141 - 225 = 1210087659709 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1210121214191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6200356 + ... + 6392546.

It is an arithmetic number, because the mean of its divisors is an integer number (30558528000).

Almost surely, 21210121214141 is an apocalyptic number.

It is an amenable number.

1210121214141 is a deficient number, since it is larger than the sum of its proper divisors (745624577859).

1210121214141 is a wasteful number, since it uses less digits than its factorization.

1210121214141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192455 (or 192441 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

Adding to 1210121214141 its reverse (1414121210121), we get a palindrome (2624242424262).

The spelling of 1210121214141 in words is "one trillion, two hundred ten billion, one hundred twenty-one million, two hundred fourteen thousand, one hundred forty-one".

Divisors: 1 3 7 21 29 49 87 147 203 211 343 609 633 1029 1421 1477 4263 4431 6119 9947 10339 18357 29841 31017 42833 72373 128499 192191 217119 299831 576573 899493 1345337 2098817 4036011 5573539 6296451 9417359 16720617 28252077 39014773 40552301 65921513 117044319 121656903 197764539 273103411 283866107 819310233 851598321 1176016729 1911723877 1987062749 3528050187 5735171631 5961188247 8232117103 13909439243 24696351309 41728317729 57624819721 172874459163 403373738047 1210121214141