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20752251100 = 22527156718919
BaseRepresentation
bin10011010100111011…
…100011100011011100
31222120021000120202121
4103110323203203130
5320000034013400
613311120432324
71333155136540
oct232473434334
958507016677
1020752251100
11888a117449
124031a786a4
131c594acc29
14100c181a20
15816d1021a
hex4d4ee38dc

20752251100 has 72 divisors (see below), whose sum is σ = 51501148160. Its totient is φ = 7110141120.

The previous prime is 20752251089. The next prime is 20752251127. The reversal of 20752251100 is 115225702.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1087441 + ... + 1106359.

Almost surely, 220752251100 is an apocalyptic number.

20752251100 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 20752251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25750574080).

20752251100 is an abundant number, since it is smaller than the sum of its proper divisors (30748897060).

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

20752251100 is a wasteful number, since it uses less digits than its factorization.

20752251100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20507 (or 20500 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

Adding to 20752251100 its reverse (115225702), we get a palindrome (20867476802).

The spelling of 20752251100 in words is "twenty billion, seven hundred fifty-two million, two hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1567 3134 6268 7835 10969 15670 18919 21938 31340 37838 39175 43876 54845 75676 78350 94595 109690 132433 156700 189190 219380 264866 274225 378380 472975 529732 548450 662165 945950 1096900 1324330 1891900 2648660 3310825 6621650 13243300 29646073 59292146 118584292 148230365 207522511 296460730 415045022 592921460 741151825 830090044 1037612555 1482303650 2075225110 2964607300 4150450220 5188062775 10376125550 20752251100