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2131506306020 = 2257131609727879
BaseRepresentation
bin11111000001000111101…
…011010001101111100100
321112202210100011100222202
4133001013223101233210
5234410311103243040
64311111145314032
7306665466443120
oct37010753215744
97482710140882
102131506306020
11751a6a817a23
122a5125195918
13126000528530
1475246020580
153a6a31d4015
hex1f047ad1be4

2131506306020 has 96 divisors (see below), whose sum is σ = 5512555507200. Its totient is φ = 674166426624.

The previous prime is 2131506306019. The next prime is 2131506306029. The reversal of 2131506306020 is 206036051312.

It is not an unprimeable number, because it can be changed into a prime (2131506306029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2564441 + ... + 3292319.

It is an arithmetic number, because the mean of its divisors is an integer number (57422453200).

Almost surely, 22131506306020 is an apocalyptic number.

2131506306020 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 2131506306020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2756277753600).

2131506306020 is an abundant number, since it is smaller than the sum of its proper divisors (3381049201180).

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

2131506306020 is a wasteful number, since it uses less digits than its factorization.

2131506306020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729517 (or 729515 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The spelling of 2131506306020 in words is "two trillion, one hundred thirty-one billion, five hundred six million, three hundred six thousand, twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1609 1820 3218 6436 8045 11263 16090 20917 22526 32180 41834 45052 56315 83668 104585 112630 146419 209170 225260 292838 418340 585676 727879 732095 1455758 1464190 2911516 2928380 3639395 5095153 7278790 9462427 10190306 14557580 18924854 20380612 25475765 37849708 47312135 50951530 66236989 94624270 101903060 132473978 189248540 264947956 331184945 662369890 1171157311 1324739780 2342314622 4684629244 5855786555 8198101177 11711573110 15225045043 16396202354 23423146220 30450090086 32792404708 40990505885 60900180172 76125225215 81981011770 106575315301 152250450430 163962023540 213150630602 304500900860 426301261204 532876576505 1065753153010 2131506306020