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321131001020 = 22579769264301
BaseRepresentation
bin1001010110001001110…
…01100011010010111100
31010200220011122002201112
410223010321203102330
520230134014013040
6403305303501152
732125632320324
oct4530471432274
91120804562645
10321131001020
11114211095105
12522a21577b8
132438991c9cb
1411785716284
158547886365
hex4ac4e634bc

321131001020 has 48 divisors (see below), whose sum is σ = 683802134400. Its totient is φ = 126661017600.

The previous prime is 321131001017. The next prime is 321131001029. The reversal of 321131001020 is 20100131123.

It is a super-2 number, since 2×3211310010202 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 321131000986 and 321131001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321131001029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1082870 + ... + 1347170.

It is an arithmetic number, because the mean of its divisors is an integer number (14245877800).

Almost surely, 2321131001020 is an apocalyptic number.

It is an amenable number.

321131001020 is an abundant number, since it is smaller than the sum of its proper divisors (362671133380).

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

321131001020 is a wasteful number, since it uses less digits than its factorization.

321131001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265158 (or 265156 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 321131001020 its reverse (20100131123), we get a palindrome (341231132143).

The spelling of 321131001020 in words is "three hundred twenty-one billion, one hundred thirty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 79 158 316 395 769 790 1538 1580 3076 3845 7690 15380 60751 121502 243004 264301 303755 528602 607510 1057204 1215020 1321505 2643010 5286020 20879779 41759558 83519116 104398895 203247469 208797790 406494938 417595580 812989876 1016237345 2032474690 4064949380 16056550051 32113100102 64226200204 80282750255 160565500510 321131001020