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20341024100 = 22521092776737
BaseRepresentation
bin10010111100011010…
…110110010101100100
31221111121020002100222
4102330122312111210
5313124300232400
613202230423512
71320032565155
oct227432662544
957447202328
1020341024100
118698a83521
123b38201b98
131bc223a447
14dad6d792c
157e0b80185
hex4bc6b6564

20341024100 has 72 divisors (see below), whose sum is σ = 44712424680. Its totient is φ = 8031467520.

The previous prime is 20341024097. The next prime is 20341024129. The reversal of 20341024100 is 142014302.

It can be written as a sum of positive squares in 12 ways, for example, as 6610340416 + 13730683684 = 81304^2 + 117178^2 .

It is a super-2 number, since 2×203410241002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3015932 + ... + 3022668.

Almost surely, 220341024100 is an apocalyptic number.

20341024100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20341024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22356212340).

20341024100 is an abundant number, since it is smaller than the sum of its proper divisors (24371400580).

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

20341024100 is a wasteful number, since it uses less digits than its factorization.

20341024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7137 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 20341024100 its reverse (142014302), we get a palindrome (20483038402).

The spelling of 20341024100 in words is "twenty billion, three hundred forty-one million, twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 109 218 277 436 545 554 1090 1108 1385 2180 2725 2770 5450 5540 6737 6925 10900 13474 13850 26948 27700 30193 33685 60386 67370 120772 134740 150965 168425 301930 336850 603860 673700 734333 754825 1468666 1509650 1866149 2937332 3019300 3671665 3732298 7343330 7464596 9330745 14686660 18358325 18661490 36716650 37322980 46653725 73433300 93307450 186614900 203410241 406820482 813640964 1017051205 2034102410 4068204820 5085256025 10170512050 20341024100