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242000010100 = 22524253356897
BaseRepresentation
bin1110000101100001010…
…0110001101101110100
3212010122101201021002001
43201120110301231310
512431104000310400
6303101232025044
723324662101022
oct3413024615564
9763571637061
10242000010100
11936a4773452
123aa99392184
1319a88850564
14b9da14b712
156465821a6a
hex3858531b74

242000010100 has 36 divisors (see below), whose sum is σ = 525161598444. Its totient is φ = 96796026880.

The previous prime is 242000010089. The next prime is 242000010139. The reversal of 242000010100 is 1010000242.

It can be written as a sum of positive squares in 6 ways, for example, as 74257340004 + 167742670096 = 272502^2 + 409564^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4224852 + ... + 4281748.

It is an arithmetic number, because the mean of its divisors is an integer number (14587822179).

Almost surely, 2242000010100 is an apocalyptic number.

242000010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242000010100 is an abundant number, since it is smaller than the sum of its proper divisors (283161588344).

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

242000010100 is a wasteful number, since it uses less digits than its factorization.

242000010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99444 (or 99437 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 242000010100 its reverse (1010000242), we get a palindrome (243010010342).

The spelling of 242000010100 in words is "two hundred forty-two billion, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 42533 56897 85066 113794 170132 212665 227588 284485 425330 568970 850660 1063325 1137940 1422425 2126650 2844850 4253300 5689700 2420000101 4840000202 9680000404 12100000505 24200001010 48400002020 60500002525 121000005050 242000010100