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242243314100 = 225246718312833
BaseRepresentation
bin1110000110011011010…
…0111010000110110100
3212011021100112101102022
43201212310322012310
512432103242022400
6303141322532312
723334005124104
oct3414664720664
9764240471368
10242243314100
119380a043337
123ab46967098
1319ac708a218
14ba205a3204
15647bd81b85
hex3866d3a1b4

242243314100 has 72 divisors (see below), whose sum is σ = 527267377728. Its totient is φ = 96602918400.

The previous prime is 242243314091. The next prime is 242243314111. The reversal of 242243314100 is 1413342242.

242243314100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 242243314100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85506284 + ... + 85509116.

It is an arithmetic number, because the mean of its divisors is an integer number (7323158024).

Almost surely, 2242243314100 is an apocalyptic number.

242243314100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242243314100 is an abundant number, since it is smaller than the sum of its proper divisors (285024063628).

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

242243314100 is a wasteful number, since it uses less digits than its factorization.

242243314100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5145 (or 5138 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 242243314100 its reverse (1413342242), we get a palindrome (243656656342).

The spelling of 242243314100 in words is "two hundred forty-two billion, two hundred forty-three million, three hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 467 934 1831 1868 2335 2833 3662 4670 5666 7324 9155 9340 11332 11675 14165 18310 23350 28330 36620 45775 46700 56660 70825 91550 141650 183100 283300 855077 1323011 1710154 2646022 3420308 4275385 5187223 5292044 6615055 8550770 10374446 13230110 17101540 20748892 21376925 25936115 26460220 33075275 42753850 51872230 66150550 85507700 103744460 129680575 132301100 259361150 518722300 2422433141 4844866282 9689732564 12112165705 24224331410 48448662820 60560828525 121121657050 242243314100