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242242414100 = 22528933271177
BaseRepresentation
bin1110000110011011000…
…1011110011000010100
3212011021021211122211222
43201212301132120110
512432103024222400
6303141251345512
723333664355151
oct3414661363024
9764237748758
10242242414100
1193809589135
123ab465b2298
1319ac6b3368b
14ba2040b228
15647bc55185
hex3866c5e614

242242414100 has 36 divisors (see below), whose sum is σ = 525726822684. Its totient is φ = 96885761280.

The previous prime is 242242414093. The next prime is 242242414103. The reversal of 242242414100 is 1414242242.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4149163396 + 238093250704 = 64414^2 + 487948^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 242242414100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242242414103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 757712 + ... + 1028888.

Almost surely, 2242242414100 is an apocalyptic number.

242242414100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242242414100 is an abundant number, since it is smaller than the sum of its proper divisors (283484408584).

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

242242414100 is a wasteful number, since it uses less digits than its factorization.

242242414100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280124 (or 280117 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

Adding to 242242414100 its reverse (1414242242), we get a palindrome (243656656342).

The spelling of 242242414100 in words is "two hundred forty-two billion, two hundred forty-two million, four hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 8933 17866 35732 44665 89330 178660 223325 271177 446650 542354 893300 1084708 1355885 2711770 5423540 6779425 13558850 27117700 2422424141 4844848282 9689696564 12112120705 24224241410 48448482820 60560603525 121121207050 242242414100