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132221323130 = 251317292063057
BaseRepresentation
bin111101100100100000…
…0010100011101111010
3110122021201202011002212
41323021000110131322
54131242124320010
6140424105455122
712360365463041
oct1731100243572
9418251664085
10132221323130
1151090543076
12217607a14a2
13c612160910
1465844d7558
15368cd93505
hex1ec901477a

132221323130 has 64 divisors (see below), whose sum is σ = 280740932640. Its totient is φ = 44363956224.

The previous prime is 132221323099. The next prime is 132221323177. The reversal of 132221323130 is 31323122231.

It can be written as a sum of positive squares in 16 ways, for example, as 49380395089 + 82840928041 = 222217^2 + 287821^2 .

It is a super-3 number, since 3×1322213231303 (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132221323096 and 132221323105.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 967439 + ... + 1095618.

Almost surely, 2132221323130 is an apocalyptic number.

132221323130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132221323130 is an abundant number, since it is smaller than the sum of its proper divisors (148519609510).

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

132221323130 is a wasteful number, since it uses less digits than its factorization.

132221323130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063123.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 132221323130 its reverse (31323122231), we get a palindrome (163544445361).

The spelling of 132221323130 in words is "one hundred thirty-two billion, two hundred twenty-one million, three hundred twenty-three thousand, one hundred thirty".

Divisors: 1 2 5 10 13 17 26 29 34 58 65 85 130 145 170 221 290 377 442 493 754 986 1105 1885 2210 2465 3770 4930 6409 12818 32045 64090 2063057 4126114 10315285 20630570 26819741 35071969 53639482 59828653 70143938 119657306 134098705 175359845 268197410 299143265 350719690 455935597 598286530 777772489 911871194 1017087101 1555544978 2034174202 2279677985 3888862445 4559355970 5085435505 7777724890 10170871010 13222132313 26444264626 66110661565 132221323130