Search a number
-
+
42050102241 = 3731397162703
BaseRepresentation
bin100111001010011000…
…011010001111100001
311000112112200112002010
4213022120122033201
51142104311232431
631152331343133
73016016654160
oct471230321741
9130475615063
1042050102241
1116919206214
1281965b1aa9
133c71a1c704
14206c9893d7
151161994846
hex9ca61a3e1

42050102241 has 32 divisors (see below), whose sum is σ = 66310340608. Its totient is φ = 23194797120.

The previous prime is 42050102233. The next prime is 42050102299. The reversal of 42050102241 is 14220105024.

It is not a de Polignac number, because 42050102241 - 23 = 42050102233 is a prime.

It is a super-2 number, since 2×420501022412 (a number of 22 digits) contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42050102221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 177096 + ... + 339798.

It is an arithmetic number, because the mean of its divisors is an integer number (2072198144).

Almost surely, 242050102241 is an apocalyptic number.

It is an amenable number.

42050102241 is a deficient number, since it is larger than the sum of its proper divisors (24260238367).

42050102241 is a wasteful number, since it uses less digits than its factorization.

42050102241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163141.

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 42050102241 its reverse (14220105024), we get a palindrome (56270207265).

The spelling of 42050102241 in words is "forty-two billion, fifty million, one hundred two thousand, two hundred forty-one".

Divisors: 1 3 7 21 31 93 217 397 651 1191 2779 8337 12307 36921 86149 162703 258447 488109 1138921 3416763 5043793 15131379 35306551 64593091 105919653 193779273 452151637 1356454911 2002385821 6007157463 14016700747 42050102241