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242232103432 = 231123119679893
BaseRepresentation
bin1110000110011000101…
…0001001001000001000
3212011020120102211021101
43201212022021020020
512432042404302212
6303140242351144
723333510622664
oct3414612111010
9764216384241
10242232103432
1193803786620
123ab4305b4b4
1319ac49635a7
14ba1ccc58a4
15647adba157
hex3866289208

242232103432 has 32 divisors (see below), whose sum is σ = 517017142080. Its totient is φ = 105318304960.

The previous prime is 242232103411. The next prime is 242232103439. The reversal of 242232103432 is 234301232242.

It is a super-2 number, since 2×2422321034322 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 242232103432.

It is not an unprimeable number, because it can be changed into a prime (242232103439) 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 7 ways as a sum of consecutive naturals, for example, 59837923 + ... + 59841970.

It is an arithmetic number, because the mean of its divisors is an integer number (16156785690).

Almost surely, 2242232103432 is an apocalyptic number.

242232103432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

242232103432 is an abundant number, since it is smaller than the sum of its proper divisors (274785038648).

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

242232103432 is a wasteful number, since it uses less digits than its factorization.

242232103432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119679933 (or 119679929 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 242232103432 its reverse (234301232242), we get a palindrome (476533335674).

The spelling of 242232103432 in words is "two hundred forty-two billion, two hundred thirty-two million, one hundred three thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 119679893 239359786 478719572 957439144 1316478823 2632957646 2752637539 5265915292 5505275078 10531830584 11010550156 22021100312 30279012929 60558025858 121116051716 242232103432