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42003114100 = 22523711352193
BaseRepresentation
bin100111000111100101…
…001010100001110100
311000102021021021110121
4213013211022201310
51142010244122400
631143532301324
73014606402413
oct470745124164
9130367237417
1042003114100
11168a4732342
128182911844
133c6507a18c
14206663747a
15115c7b221a
hex9c794a874

42003114100 has 36 divisors (see below), whose sum is σ = 93610191724. Its totient is φ = 16347156480.

The previous prime is 42003114079. The next prime is 42003114121. The reversal of 42003114100 is 141130024.

It is an interprime number because it is at equal distance from previous prime (42003114079) and next prime (42003114121).

It can be written as a sum of positive squares in 6 ways, for example, as 638876176 + 41364237924 = 25276^2 + 203382^2 .

It is a congruent number.

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, 5672397 + ... + 5679796.

Almost surely, 242003114100 is an apocalyptic number.

It is an amenable number.

42003114100 is an abundant number, since it is smaller than the sum of its proper divisors (51607077624).

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

42003114100 is a wasteful number, since it uses less digits than its factorization.

42003114100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11352244 (or 11352237 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 42003114100 its reverse (141130024), we get a palindrome (42144244124).

The spelling of 42003114100 in words is "forty-two billion, three million, one hundred fourteen thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1850 3700 11352193 22704386 45408772 56760965 113521930 227043860 283804825 420031141 567609650 840062282 1135219300 1680124564 2100155705 4200311410 8400622820 10500778525 21001557050 42003114100