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132141100120 = 23543241318781
BaseRepresentation
bin111101100010000111…
…0010010110001011000
3110122002010210101211021
41323010032102301120
54131111110200440
6140412122212224
712355402550521
oct1730416226130
9418063711737
10132141100120
115104a22a367
1221739954074
13c5cb652b93
1465779b3848
153685ce884a
hex1ec4392c58

132141100120 has 64 divisors (see below), whose sum is σ = 305495166240. Its totient is φ = 51412838400.

The previous prime is 132141100103. The next prime is 132141100121. The reversal of 132141100120 is 21001141231.

It is a super-2 number, since 2×1321411001202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132141100094 and 132141100103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132141100121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 255130 + ... + 573910.

Almost surely, 2132141100120 is an apocalyptic number.

132141100120 is a gapful number since it is divisible by the number (10) 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 132141100120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152747583120).

132141100120 is an abundant number, since it is smaller than the sum of its proper divisors (173354066120).

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

132141100120 is a wasteful number, since it uses less digits than its factorization.

132141100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319076 (or 319072 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 132141100120 its reverse (21001141231), we get a palindrome (153142241351).

The spelling of 132141100120 in words is "one hundred thirty-two billion, one hundred forty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 241 344 430 482 860 964 1205 1720 1928 2410 4820 9640 10363 20726 41452 51815 82904 103630 207260 318781 414520 637562 1275124 1593905 2550248 3187810 6375620 12751240 13707583 27415166 54830332 68537915 76826221 109660664 137075830 153652442 274151660 307304884 384131105 548303320 614609768 768262210 1536524420 3073048840 3303527503 6607055006 13214110012 16517637515 26428220024 33035275030 66070550060 132141100120