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1242042102 = 2327429991
BaseRepresentation
bin100101000001000…
…0000111011110110
310012120010021110100
41022002000323312
510020430321402
6323125134530
742531120000
oct11202007366
93176107410
101242042102
11588111684
122a7b5a446
1316a424672
14bad55370
157409271c
hex4a080ef6

1242042102 has 120 divisors (see below), whose sum is σ = 3250952640. Its totient is φ = 342286560.

The previous prime is 1242042079. The next prime is 1242042127. The reversal of 1242042102 is 2012402421.

1242042102 is a `hidden beast` number, since 1 + 242 + 0 + 421 + 0 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1252827 + ... + 1253817.

It is an arithmetic number, because the mean of its divisors is an integer number (27091272).

Almost surely, 21242042102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242042102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625476320).

1242042102 is an abundant number, since it is smaller than the sum of its proper divisors (2008910538).

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

1242042102 is an equidigital number, since it uses as much as digits as its factorization.

1242042102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1032 counting only the distinct ones).

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

The square root of 1242042102 is about 35242.6176950578. The cubic root of 1242042102 is about 1074.9265071805.

Adding to 1242042102 its reverse (2012402421), we get a palindrome (3254444523).

The spelling of 1242042102 in words is "one billion, two hundred forty-two million, forty-two thousand, one hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 49 58 63 87 98 126 147 174 203 261 294 343 406 441 522 609 686 882 991 1029 1218 1421 1827 1982 2058 2401 2842 2973 3087 3654 4263 4802 5946 6174 6937 7203 8526 8919 9947 12789 13874 14406 17838 19894 20811 21609 25578 28739 29841 41622 43218 48559 57478 59682 62433 69629 86217 89523 97118 124866 139258 145677 172434 179046 201173 208887 258651 291354 339913 402346 417774 437031 517302 603519 626661 679826 874062 1019739 1207038 1253322 1408211 1810557 2039478 2379391 2816422 3059217 3621114 4224633 4758782 6118434 7138173 8449266 9857477 12673899 14276346 19714954 21414519 25347798 29572431 42829038 59144862 69002339 88717293 138004678 177434586 207007017 414014034 621021051 1242042102