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132221431420 = 225131729914351
BaseRepresentation
bin111101100100100000…
…0101110111001111100
3110122021201221122122121
41323021000232321330
54131242141301140
6140424112052324
712360366423541
oct1731100567174
9418251848577
10132221431420
1151090607471
12217608340a4
13c61219acb0
146584524bc8
15368cdb564a
hex1ec902ee7c

132221431420 has 48 divisors (see below), whose sum is σ = 316613501568. Its totient is φ = 45948441600.

The previous prime is 132221431411. The next prime is 132221431421. The reversal of 132221431420 is 24134122231.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132221431421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14952756 + ... + 14961595.

It is an arithmetic number, because the mean of its divisors is an integer number (6596114616).

Almost surely, 2132221431420 is an apocalyptic number.

132221431420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132221431420 is an abundant number, since it is smaller than the sum of its proper divisors (184392070148).

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

132221431420 is a wasteful number, since it uses less digits than its factorization.

132221431420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29914390 (or 29914388 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 132221431420 its reverse (24134122231), we get a palindrome (156355553651).

The spelling of 132221431420 in words is "one hundred thirty-two billion, two hundred twenty-one million, four hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 85 130 170 221 260 340 442 884 1105 2210 4420 29914351 59828702 119657404 149571755 299143510 388886563 508543967 598287020 777773126 1017087934 1555546252 1944432815 2034175868 2542719835 3888865630 5085439670 6611071571 7777731260 10170879340 13222143142 26444286284 33055357855 66110715710 132221431420