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992030100 = 2235216719801
BaseRepresentation
bin111011001000010…
…010110110010100
32120010200100110120
4323020102312110
54012424430400
6242234351540
733404055015
oct7310226624
92503610416
10992030100
11469a7a996
1223828b5b0
1312a6a9679
1495a7500c
155c159ca0
hex3b212d94

992030100 has 72 divisors (see below), whose sum is σ = 2887606848. Its totient is φ = 262944000.

The previous prime is 992030099. The next prime is 992030107. The reversal of 992030100 is 1030299.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (992030107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40200 + ... + 60000.

Almost surely, 2992030100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 992030100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443803424).

992030100 is an abundant number, since it is smaller than the sum of its proper divisors (1895576748).

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

992030100 is a wasteful number, since it uses less digits than its factorization.

992030100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19985 (or 19978 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 992030100 is about 31496.5093304004. The cubic root of 992030100 is about 997.3362775494.

Adding to 992030100 its reverse (1030299), we get a palindrome (993060399).

The spelling of 992030100 in words is "nine hundred ninety-two million, thirty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 167 300 334 501 668 835 1002 1670 2004 2505 3340 4175 5010 8350 10020 12525 16700 19801 25050 39602 50100 59403 79204 99005 118806 198010 237612 297015 396020 495025 594030 990050 1188060 1485075 1980100 2970150 3306767 5940300 6613534 9920301 13227068 16533835 19840602 33067670 39681204 49601505 66135340 82669175 99203010 165338350 198406020 248007525 330676700 496015050 992030100