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102982122 = 23273181433
BaseRepresentation
bin1100010001101…
…10000111101010
321011210000220200
412020312013222
5202330411442
614115133030
72360222265
oct610660752
9234700820
10102982122
1153148aa1
122a5a4176
1318448c89
14d969cdc
15909334c
hex62361ea

102982122 has 48 divisors (see below), whose sum is σ = 227959368. Its totient is φ = 33592320.

The previous prime is 102982097. The next prime is 102982129. The reversal of 102982122 is 221289201.

It can be written as a sum of positive squares in 4 ways, for example, as 37711881 + 65270241 = 6141^2 + 8079^2 .

It is not an unprimeable number, because it can be changed into a prime (102982129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237618 + ... + 238050.

Almost surely, 2102982122 is an apocalyptic number.

102982122 is an abundant number, since it is smaller than the sum of its proper divisors (124977246).

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

102982122 is a wasteful number, since it uses less digits than its factorization.

102982122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 692 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 102982122 is about 10148.0107410270. The cubic root of 102982122 is about 468.7276921651.

The spelling of 102982122 in words is "one hundred two million, nine hundred eighty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 73 146 181 219 362 433 438 543 657 866 1086 1299 1314 1629 2598 3258 3897 7794 13213 26426 31609 39639 63218 78373 79278 94827 118917 156746 189654 235119 237834 284481 470238 568962 705357 1410714 5721229 11442458 17163687 34327374 51491061 102982122