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442131100 = 225229152459
BaseRepresentation
bin11010010110100…
…110001010011100
31010210221120211221
4122112212022130
51401141143400
6111512223124
713646023645
oct3226461234
91123846757
10442131100
11207631704
1210409aaa4
13707a3148
1442a106cc
1528c36c1a
hex1a5a629c

442131100 has 36 divisors (see below), whose sum is σ = 992514600. Its totient is φ = 170752960.

The previous prime is 442131089. The next prime is 442131103. The reversal of 442131100 is 1131244.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442131103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73330 + ... + 79129.

It is an arithmetic number, because the mean of its divisors is an integer number (27569850).

Almost surely, 2442131100 is an apocalyptic number.

It is an amenable number.

442131100 is an abundant number, since it is smaller than the sum of its proper divisors (550383500).

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

442131100 is a wasteful number, since it uses less digits than its factorization.

442131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152502 (or 152495 counting only the distinct ones).

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

The square root of 442131100 is about 21026.9137060102. The cubic root of 442131100 is about 761.8164652824.

Adding to 442131100 its reverse (1131244), we get a palindrome (443262344).

The spelling of 442131100 in words is "four hundred forty-two million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 1450 2900 152459 304918 609836 762295 1524590 3049180 3811475 4421311 7622950 8842622 15245900 17685244 22106555 44213110 88426220 110532775 221065550 442131100