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302142400100 = 22526149531541
BaseRepresentation
bin1000110010110010001…
…01110010011001100100
31001212212211020020011222
410121121011302121210
514422241423300400
6350445144115512
730554241011642
oct4313105623144
91055784206158
10302142400100
111071575651a2
124a682a65b98
1322651943888
14108a38a8192
157cd57ee185
hex4659172664

302142400100 has 36 divisors (see below), whose sum is σ = 666397366068. Its totient is φ = 118875696000.

The previous prime is 302142400019. The next prime is 302142400141. The reversal of 302142400100 is 1004241203.

It can be written as a sum of positive squares in 6 ways, for example, as 60581945956 + 241560454144 = 246134^2 + 491488^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24759671 + ... + 24771870.

Almost surely, 2302142400100 is an apocalyptic number.

It is an amenable number.

302142400100 is an abundant number, since it is smaller than the sum of its proper divisors (364254965968).

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

302142400100 is a wasteful number, since it uses less digits than its factorization.

302142400100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49531616 (or 49531609 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 302142400100 its reverse (1004241203), we get a palindrome (303146641303).

The spelling of 302142400100 in words is "three hundred two billion, one hundred forty-two million, four hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 244 305 610 1220 1525 3050 6100 49531541 99063082 198126164 247657705 495315410 990630820 1238288525 2476577050 3021424001 4953154100 6042848002 12085696004 15107120005 30214240010 60428480020 75535600025 151071200050 302142400100