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242132103114 = 23112924362269
BaseRepresentation
bin1110000110000000110…
…0101010111111001010
3212010222121021021121220
43201200030222333022
512431341304244424
6303122311142510
723331154626606
oct3414014527712
9763877237556
10242132103114
1193762294930
123ab15674a36
1319aaa01c8c5
14ba0d8d4506
156472215579
hex386032afca

242132103114 has 48 divisors (see below), whose sum is σ = 547133352480. Its totient is φ = 70843232320.

The previous prime is 242132103071. The next prime is 242132103121. The reversal of 242132103114 is 411301231242.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2125629 + ... + 2236640.

It is an arithmetic number, because the mean of its divisors is an integer number (11398611510).

Almost surely, 2242132103114 is an apocalyptic number.

242132103114 is an abundant number, since it is smaller than the sum of its proper divisors (305001249366).

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

242132103114 is a wasteful number, since it uses less digits than its factorization.

242132103114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362343 (or 4362314 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 242132103114 its reverse (411301231242), we get a palindrome (653433334356).

The spelling of 242132103114 in words is "two hundred forty-two billion, one hundred thirty-two million, one hundred three thousand, one hundred fourteen".

Divisors: 1 2 3 6 11 22 29 33 58 66 87 174 319 638 841 957 1682 1914 2523 5046 9251 18502 27753 55506 4362269 8724538 13086807 26173614 47984959 95969918 126505801 143954877 253011602 287909754 379517403 759034806 1391563811 2783127622 3668668229 4174691433 7337336458 8349382866 11006004687 22012009374 40355350519 80710701038 121066051557 242132103114