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42130100 = 2252601701
BaseRepresentation
bin1010000010110…
…1101010110100
32221021102122002
42200231222310
541241130400
64102554432
71021046165
oct240555264
987242562
1042130100
1121865a71
1212138a18
13896126c
14584976c
153a72ed5
hex282dab4

42130100 has 36 divisors (see below), whose sum is σ = 91705068. Its totient is φ = 16800000.

The previous prime is 42130079. The next prime is 42130111. The reversal of 42130100 is 103124.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2540836 + 39589264 = 1594^2 + 6292^2 .

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, 59750 + ... + 60450.

It is an arithmetic number, because the mean of its divisors is an integer number (2547363).

Almost surely, 242130100 is an apocalyptic number.

It is an amenable number.

42130100 is an abundant number, since it is smaller than the sum of its proper divisors (49574968).

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

42130100 is a wasteful number, since it uses less digits than its factorization.

42130100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 42130100 is about 6490.7703703027. The cubic root of 42130100 is about 347.9612080774.

Adding to 42130100 its reverse (103124), we get a palindrome (42233224).

The spelling of 42130100 in words is "forty-two million, one hundred thirty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 601 701 1202 1402 2404 2804 3005 3505 6010 7010 12020 14020 15025 17525 30050 35050 60100 70100 421301 842602 1685204 2106505 4213010 8426020 10532525 21065050 42130100