Search a number
-
+
242214020120 = 23519930428897
BaseRepresentation
bin1110000110010100010…
…1001010010000011000
3212011012022102002122002
43201211011022100120
512432023242120440
6303134355020132
723333201125652
oct3414505122030
9764168362562
10242214020120
11937a4555336
123ab38b9a648
1319ac0ca16c7
14ba1a7396d2
1564794e7115
hex386514a418

242214020120 has 32 divisors (see below), whose sum is σ = 547720164000. Its totient is φ = 96398742528.

The previous prime is 242214020071. The next prime is 242214020141. The reversal of 242214020120 is 21020412242.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 242214020092 and 242214020101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15206489 + ... + 15222408.

It is an arithmetic number, because the mean of its divisors is an integer number (17116255125).

Almost surely, 2242214020120 is an apocalyptic number.

242214020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242214020120 is an abundant number, since it is smaller than the sum of its proper divisors (305506143880).

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

242214020120 is a wasteful number, since it uses less digits than its factorization.

242214020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30429107 (or 30429103 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 242214020120 its reverse (21020412242), we get a palindrome (263234432362).

The spelling of 242214020120 in words is "two hundred forty-two billion, two hundred fourteen million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 199 398 796 995 1592 1990 3980 7960 30428897 60857794 121715588 152144485 243431176 304288970 608577940 1217155880 6055350503 12110701006 24221402012 30276752515 48442804024 60553505030 121107010060 242214020120