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131223021020 = 225713223293823
BaseRepresentation
bin111101000110110000…
…0000110010111011100
3110112201011021011001122
41322031200012113130
54122221043133040
6140141044430112
712323554163210
oct1721540062734
9415634234048
10131223021020
1150718a79a03
12215223a8338
13c4b3399500
1464cbaac940
1536303ea1b5
hex1e8d8065dc

131223021020 has 288 divisors, whose sum is σ = 357500086272. Its totient is φ = 39540593664.

The previous prime is 131223021019. The next prime is 131223021071. The reversal of 131223021020 is 20120322131.

It is a self number, because there is not a number n which added to its sum of digits gives 131223021020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159444329 + ... + 159445151.

It is an arithmetic number, because the mean of its divisors is an integer number (1241319744).

Almost surely, 2131223021020 is an apocalyptic number.

131223021020 is a gapful number since it is divisible by the number (10) 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 131223021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178750043136).

131223021020 is an abundant number, since it is smaller than the sum of its proper divisors (226277065252).

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

131223021020 is a wasteful number, since it uses less digits than its factorization.

131223021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1181 (or 1166 counting only the distinct ones).

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

Adding to 131223021020 its reverse (20120322131), we get a palindrome (151343343151).

The spelling of 131223021020 in words is "one hundred thirty-one billion, two hundred twenty-three million, twenty-one thousand, twenty".