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20707001300 = 22521726945281
BaseRepresentation
bin10011010010001110…
…111100001111010100
31222110002212122201002
4103102032330033110
5314401443020200
613302422522432
71332065415116
oct232216741724
958402778632
1020707001300
118866620617
12401a896418
131c4ccc89bb
1410061633b6
15812d72bd5
hex4d23bc3d4

20707001300 has 72 divisors (see below), whose sum is σ = 47755302840. Its totient is φ = 7766425600.

The previous prime is 20707001299. The next prime is 20707001303. The reversal of 20707001300 is 310070702.

It can be written as a sum of positive squares in 12 ways, for example, as 3857403664 + 16849597636 = 62108^2 + 129806^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20707001303) 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, 434660 + ... + 479940.

It is an arithmetic number, because the mean of its divisors is an integer number (663268095).

Almost surely, 220707001300 is an apocalyptic number.

20707001300 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 20707001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23877651420).

20707001300 is an abundant number, since it is smaller than the sum of its proper divisors (27048301540).

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

20707001300 is a wasteful number, since it uses less digits than its factorization.

20707001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45581 (or 45574 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 20.

The spelling of 20707001300 in words is "twenty billion, seven hundred seven million, one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 269 340 425 538 850 1076 1345 1700 2690 4573 5380 6725 9146 13450 18292 22865 26900 45281 45730 90562 91460 114325 181124 226405 228650 452810 457300 769777 905620 1132025 1539554 2264050 3079108 3848885 4528100 7697770 12180589 15395540 19244425 24361178 38488850 48722356 60902945 76977700 121805890 207070013 243611780 304514725 414140026 609029450 828280052 1035350065 1218058900 2070700130 4141400260 5176750325 10353500650 20707001300