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42312100 = 2252423121
BaseRepresentation
bin1010000101101…
…0000110100100
32221121200021211
42201122012210
541312441400
64110521204
71022434615
oct241320644
987550254
1042312100
112197a786
1212206204
1389c605c
145895c0c
153aabdba
hex285a1a4

42312100 has 18 divisors (see below), whose sum is σ = 91817474. Its totient is φ = 16924800.

The previous prime is 42312097. The next prime is 42312103. The reversal of 42312100 is 121324.

It is an interprime number because it is at equal distance from previous prime (42312097) and next prime (42312103).

It can be written as a sum of positive squares in 3 ways, for example, as 399424 + 41912676 = 632^2 + 6474^2 .

It is not an unprimeable number, because it can be changed into a prime (42312103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 211461 + ... + 211660.

Almost surely, 242312100 is an apocalyptic number.

It is an amenable number.

42312100 is an abundant number, since it is smaller than the sum of its proper divisors (49505374).

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

42312100 is a wasteful number, since it uses less digits than its factorization.

42312100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423135 (or 423128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42312100 is about 6504.7751690585. The cubic root of 42312100 is about 348.4615468332.

Adding to 42312100 its reverse (121324), we get a palindrome (42433424).

The spelling of 42312100 in words is "forty-two million, three hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 423121 846242 1692484 2115605 4231210 8462420 10578025 21156050 42312100