Search a number
-
+
131221304313020 = 225311400091511669
BaseRepresentation
bin11101110101100001010111…
…001110110000010010111100
3122012121122010022112122002122
4131311201113032300102330
5114144412212401004040
61143030122431542112
736432266151114335
oct3565412716602274
9565548108478078
10131221304313020
11388a1708396a89
121287369938a938
13582b16783296c
142459205cd328c
1510285797931b5
hex7758573b04bc

131221304313020 has 48 divisors (see below), whose sum is σ = 284456144044800. Its totient is φ = 50794947202560.

The previous prime is 131221304312981. The next prime is 131221304313079. The reversal of 131221304313020 is 20313403122131.

It is a happy number.

It is a super-2 number, since 2×1312213043130202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86049746 + ... + 87561414.

It is an arithmetic number, because the mean of its divisors is an integer number (5926169667600).

Almost surely, 2131221304313020 is an apocalyptic number.

131221304313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131221304313020 is an abundant number, since it is smaller than the sum of its proper divisors (153234839731780).

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

131221304313020 is a wasteful number, since it uses less digits than its factorization.

131221304313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651718 (or 1651716 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

Adding to 131221304313020 its reverse (20313403122131), we get a palindrome (151534707435151).

The spelling of 131221304313020 in words is "one hundred thirty-one trillion, two hundred twenty-one billion, three hundred four million, three hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 140009 280018 560036 700045 1400090 1511669 2800180 3023338 4340279 6046676 7558345 8680558 15116690 17361116 21701395 30233380 43402790 46861739 86805580 93723478 187446956 234308695 468617390 937234780 211647265021 423294530042 846589060084 1058236325105 2116472650210 4232945300420 6561065215651 13122130431302 26244260862604 32805326078255 65610652156510 131221304313020