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131221121330 = 25131759376073
BaseRepresentation
bin111101000110101100…
…0110110100100110010
3110112201000200122011202
41322031120312210302
54122220101340310
6140140540011202
712323532061565
oct1721530664462
9415630618152
10131221121330
11507179a1712
1221521830b02
13c4b2b82930
1464cb7364dc
1536301723a5
hex1e8d636932

131221121330 has 32 divisors (see below), whose sum is σ = 269329871664. Its totient is φ = 45600823296.

The previous prime is 131221121327. The next prime is 131221121357. The reversal of 131221121330 is 33121122131.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 15533384689 + 115687736641 = 124633^2 + 340129^2 .

It is an unprimeable number.

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, 29685827 + ... + 29690246.

Almost surely, 2131221121330 is an apocalyptic number.

131221121330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

131221121330 is an abundant number, since it is smaller than the sum of its proper divisors (138108750334).

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

131221121330 is a wasteful number, since it uses less digits than its factorization.

131221121330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59376110.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131221121330 its reverse (33121122131), we get a palindrome (164342243461).

The spelling of 131221121330 in words is "one hundred thirty-one billion, two hundred twenty-one million, one hundred twenty-one thousand, three hundred thirty".

Divisors: 1 2 5 10 13 17 26 34 65 85 130 170 221 442 1105 2210 59376073 118752146 296880365 593760730 771888949 1009393241 1543777898 2018786482 3859444745 5046966205 7718889490 10093932410 13122112133 26244224266 65610560665 131221121330