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131221546632 = 233211238812
BaseRepresentation
bin111101000110101101…
…0011110011010001000
3110112201001111020120200
41322031122132122020
54122220203443012
6140140553052200
712323535512541
oct1721532363210
9415631436520
10131221546632
1150718162200
12215219b7060
13c4b2ca13a7
1464cb8074c8
1536302083dc
hex1e8d69e688

131221546632 has 108 divisors (see below), whose sum is σ = 390737825205. Its totient is φ = 39753859200.

The previous prime is 131221546613. The next prime is 131221546637. The reversal of 131221546632 is 236645122131.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

131221546632 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 2 + 15 + 4 + 6 + 632 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 128957119236 + 2264427396 = 359106^2 + 47586^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=256146.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (131221546637) 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 26 ways as a sum of consecutive naturals, for example, 33809332 + ... + 33813212.

Almost surely, 2131221546632 is an apocalyptic number.

131221546632 is a gapful number since it is divisible by the number (12) 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 131221546632

131221546632 is an abundant number, since it is smaller than the sum of its proper divisors (259516278573).

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

131221546632 is an equidigital number, since it uses as much as digits as its factorization.

131221546632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 3897 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

Adding to 131221546632 its reverse (236645122131), we get a palindrome (367866668763).

The spelling of 131221546632 in words is "one hundred thirty-one billion, two hundred twenty-one million, five hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 121 132 198 242 264 363 396 484 726 792 968 1089 1452 2178 2904 3881 4356 7762 8712 11643 15524 23286 31048 34929 42691 46572 69858 85382 93144 128073 139716 170764 256146 279432 341528 384219 469601 512292 768438 939202 1024584 1408803 1536876 1878404 2817606 3073752 3756808 4226409 5635212 8452818 11270424 15062161 16905636 30124322 33811272 45186483 60248644 90372966 120497288 135559449 165683771 180745932 271118898 331367542 361491864 497051313 542237796 662735084 994102626 1084475592 1325470168 1491153939 1822521481 1988205252 2982307878 3645042962 3976410504 5467564443 5964615756 7290085924 10935128886 11929231512 14580171848 16402693329 21870257772 32805386658 43740515544 65610773316 131221546632