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132013031200 = 2552311530599
BaseRepresentation
bin111101011110010010…
…1101111111100100000
3110121202012210211021221
41322330211233330200
54130330313444300
6140351305224424
712352256151661
oct1727445577440
9417665724257
10132013031200
1150a93a07286
1221702a92114
13c5aac6235b
146564997368
15367994c31a
hex1ebc96ff20

132013031200 has 72 divisors (see below), whose sum is σ = 323313681600. Its totient is φ = 52635321600.

The previous prime is 132013031179. The next prime is 132013031203. The reversal of 132013031200 is 2130310231.

It is a super-2 number, since 2×1320130312002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (132013031203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16500 + ... + 514099.

It is an arithmetic number, because the mean of its divisors is an integer number (4490467800).

Almost surely, 2132013031200 is an apocalyptic number.

132013031200 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 132013031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161656840800).

132013031200 is an abundant number, since it is smaller than the sum of its proper divisors (191300650400).

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

132013031200 is a wasteful number, since it uses less digits than its factorization.

132013031200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530930 (or 530917 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 132013031200 its reverse (2130310231), we get a palindrome (134143341431).

The spelling of 132013031200 in words is "one hundred thirty-two billion, thirteen million, thirty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 311 400 622 800 1244 1555 2488 3110 4976 6220 7775 9952 12440 15550 24880 31100 49760 62200 124400 248800 530599 1061198 2122396 2652995 4244792 5305990 8489584 10611980 13264975 16979168 21223960 26529950 42447920 53059900 84895840 106119800 165016289 212239600 330032578 424479200 660065156 825081445 1320130312 1650162890 2640260624 3300325780 4125407225 5280521248 6600651560 8250814450 13201303120 16501628900 26402606240 33003257800 66006515600 132013031200