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213231120020 = 225175910629667
BaseRepresentation
bin1100011010010110010…
…0001010111010010100
3202101101102222020000122
43012211210022322110
511443144131320040
6241542414531112
721256031420642
oct3064544127224
9671342866018
10213231120020
1182481454536
12353aa806a98
1317152552b89
14a46b410192
15582ed2b1b5
hex31a590ae94

213231120020 has 48 divisors (see below), whose sum is σ = 482161740480. Its totient is φ = 78914640384.

The previous prime is 213231120001. The next prime is 213231120061. The reversal of 213231120020 is 20021132312.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 5294774 + ... + 5334893.

It is an arithmetic number, because the mean of its divisors is an integer number (10045036260).

Almost surely, 2213231120020 is an apocalyptic number.

213231120020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213231120020 is an abundant number, since it is smaller than the sum of its proper divisors (268930620460).

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

213231120020 is a wasteful number, since it uses less digits than its factorization.

213231120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10629752 (or 10629750 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 213231120020 its reverse (20021132312), we get a palindrome (233252252332).

The spelling of 213231120020 in words is "two hundred thirteen billion, two hundred thirty-one million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 2006 4012 5015 10030 20060 10629667 21259334 42518668 53148335 106296670 180704339 212593340 361408678 627150353 722817356 903521695 1254300706 1807043390 2508601412 3135751765 3614086780 6271503530 10661556001 12543007060 21323112002 42646224004 53307780005 106615560010 213231120020