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20725043100 = 22352377325577
BaseRepresentation
bin10011010011010011…
…110000111110011100
31222111100211021101220
4103103103300332130
5314421102334400
613304305333340
71332404650116
oct232323607634
958440737356
1020725043100
1188758236a3
124024937250
131c53974a18
1410086dc3b6
158147387a0
hex4d34f0f9c

20725043100 has 144 divisors (see below), whose sum is σ = 62431191648. Its totient is φ = 5303439360.

The previous prime is 20725043081. The next prime is 20725043177. The reversal of 20725043100 is 134052702.

It is a super-2 number, since 2×207250431002 (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 797512 + ... + 823088.

It is an arithmetic number, because the mean of its divisors is an integer number (433549942).

Almost surely, 220725043100 is an apocalyptic number.

20725043100 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 20725043100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31215595824).

20725043100 is an abundant number, since it is smaller than the sum of its proper divisors (41706148548).

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

20725043100 is a wasteful number, since it uses less digits than its factorization.

20725043100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25704 (or 25697 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

Adding to 20725043100 its reverse (134052702), we get a palindrome (20859095802).

The spelling of 20725043100 in words is "twenty billion, seven hundred twenty-five million, forty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 73 74 75 100 111 146 148 150 185 219 222 292 300 365 370 438 444 555 730 740 876 925 1095 1110 1460 1825 1850 2190 2220 2701 2775 3650 3700 4380 5402 5475 5550 7300 8103 10804 10950 11100 13505 16206 21900 25577 27010 32412 40515 51154 54020 67525 76731 81030 102308 127885 135050 153462 162060 202575 255770 270100 306924 383655 405150 511540 639425 767310 810300 946349 1278850 1534620 1867121 1892698 1918275 2557700 2839047 3734242 3785396 3836550 4731745 5601363 5678094 7468484 7673100 9335605 9463490 11202726 11356188 14195235 18671210 18926980 22405452 23658725 28006815 28390470 37342420 46678025 47317450 56013630 56780940 69083477 70976175 93356050 94634900 112027260 138166954 140034075 141952350 186712100 207250431 276333908 280068150 283904700 345417385 414500862 560136300 690834770 829001724 1036252155 1381669540 1727086925 2072504310 3454173850 4145008620 5181260775 6908347700 10362521550 20725043100