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132331233100 = 225211791522799
BaseRepresentation
bin111101100111110001…
…1100101111101001100
3110122120101120011020111
41323033203211331030
54132003243424400
6140443033325404
712363201631213
oct1731743457514
9418511504214
10132331233100
1151137593060
1221791566864
13c62bb63cc1
146594d4807a
1536978543ba
hex1ecf8e5f4c

132331233100 has 72 divisors (see below), whose sum is σ = 317229696000. Its totient is φ = 47511297600.

The previous prime is 132331233037. The next prime is 132331233109. The reversal of 132331233100 is 1332133231.

It is a super-2 number, since 2×1323312331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (132331233109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 674500 + ... + 848299.

It is an arithmetic number, because the mean of its divisors is an integer number (4405968000).

Almost surely, 2132331233100 is an apocalyptic number.

132331233100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132331233100 is an abundant number, since it is smaller than the sum of its proper divisors (184898462900).

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

132331233100 is a wasteful number, since it uses less digits than its factorization.

132331233100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1522903 (or 1522896 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 22.

Adding to 132331233100 its reverse (1332133231), we get a palindrome (133663366331).

The spelling of 132331233100 in words is "one hundred thirty-two billion, three hundred thirty-one million, two hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 79 100 110 158 220 275 316 395 550 790 869 1100 1580 1738 1975 3476 3950 4345 7900 8690 17380 21725 43450 86900 1522799 3045598 6091196 7613995 15227990 16750789 30455980 33501578 38069975 67003156 76139950 83753945 120301121 152279900 167507890 240602242 335015780 418769725 481204484 601505605 837539450 1203011210 1323312331 1675078900 2406022420 2646624662 3007528025 5293249324 6015056050 6616561655 12030112100 13233123310 26466246620 33082808275 66165616550 132331233100