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220002131020 = 22572988761091
BaseRepresentation
bin1100110011100100100…
…1100001110001001100
3210000212022211012221211
43030321021201301030
512101031021143040
6245022333104204
721615600154540
oct3147111416114
9700768735854
10220002131020
11853365162a1
123677a328064
1317991291a69
14a91079da20
155ac94b18ea
hex3339261c4c

220002131020 has 96 divisors (see below), whose sum is σ = 546836935680. Its totient is φ = 72744994560.

The previous prime is 220002131009. The next prime is 220002131057. The reversal of 220002131020 is 20131200022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3570675 + ... + 3631765.

It is an arithmetic number, because the mean of its divisors is an integer number (5696218080).

Almost surely, 2220002131020 is an apocalyptic number.

220002131020 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 220002131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273418467840).

220002131020 is an abundant number, since it is smaller than the sum of its proper divisors (326834804660).

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

220002131020 is a wasteful number, since it uses less digits than its factorization.

220002131020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62023 (or 62021 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 220002131020 its reverse (20131200022), we get a palindrome (240133331042).

The spelling of 220002131020 in words is "two hundred twenty billion, two million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 887 1015 1774 2030 3548 4060 4435 6209 8870 12418 17740 24836 25723 31045 51446 61091 62090 102892 122182 124180 128615 180061 244364 257230 305455 360122 427637 514460 610910 720244 855274 900305 1221820 1710548 1771639 1800610 2138185 3543278 3601220 4276370 7086556 8552740 8858195 12401473 17716390 24802946 35432780 49605892 54187717 62007365 108375434 124014730 216750868 248029460 270938585 379314019 541877170 758628038 1083754340 1517256076 1571443793 1896570095 3142887586 3793140190 6285775172 7586280380 7857218965 11000106551 15714437930 22000213102 31428875860 44000426204 55000532755 110001065510 220002131020