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980134100 = 2252111974523
BaseRepresentation
bin111010011010111…
…010100011010100
32112022021222012222
4322122322203110
54001403242400
6241131401512
733201000551
oct7232724324
92468258188
10980134100
11463295290
122342b3298
131280a2b0a
1494259a28
155b0aa185
hex3a6ba8d4

980134100 has 72 divisors (see below), whose sum is σ = 2332538208. Its totient is φ = 354524800.

The previous prime is 980134097. The next prime is 980134109. The reversal of 980134100 is 1431089.

It is a self number, because there is not a number n which added to its sum of digits gives 980134100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980134109) 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, 214439 + ... + 218961.

It is an arithmetic number, because the mean of its divisors is an integer number (32396364).

Almost surely, 2980134100 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 980134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1166269104).

980134100 is an abundant number, since it is smaller than the sum of its proper divisors (1352404108).

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

980134100 is a wasteful number, since it uses less digits than its factorization.

980134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4745 (or 4738 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 980134100 is about 31307.0934454158. The cubic root of 980134100 is about 993.3336924261. Note that the first 3 decimals are identical.

Adding to 980134100 its reverse (1431089), we get a palindrome (981565189).

The spelling of 980134100 in words is "nine hundred eighty million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 197 220 275 394 550 788 985 1100 1970 2167 3940 4334 4523 4925 8668 9046 9850 10835 18092 19700 21670 22615 43340 45230 49753 54175 90460 99506 108350 113075 199012 216700 226150 248765 452300 497530 891031 995060 1243825 1782062 2487650 3564124 4455155 4975300 8910310 9801341 17820620 19602682 22275775 39205364 44551550 49006705 89103100 98013410 196026820 245033525 490067050 980134100