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132231001310100 = 22325271135323092341
BaseRepresentation
bin11110000100001101101101…
…110111001000001110010100
3122100012011022211120112211200
4132010031231313020032110
5114312433042313410400
61145122030002432500
736565242324021030
oct3604155567101624
9570164284515750
10132231001310100
1139150941a91350
12129b7306962730
1358a2439aa90a4
14249202c1471c0
1510449724b3b00
hex78436ddc8394

132231001310100 has 864 divisors, whose sum is σ = 518652471617280. Its totient is φ = 27375169536000.

The previous prime is 132231001310099. The next prime is 132231001310101. The reversal of 132231001310100 is 1013100132231.

132231001310100 is a `hidden beast` number, since 1 + 32 + 2 + 310 + 0 + 1 + 310 + 10 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (132231001310099) and next prime (132231001310101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132231001310101) 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 287 ways as a sum of consecutive naturals, for example, 56484834930 + ... + 56484837270.

It is an arithmetic number, because the mean of its divisors is an integer number (600292212520).

Almost surely, 2132231001310100 is an apocalyptic number.

132231001310100 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 132231001310100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259326235808640).

132231001310100 is an abundant number, since it is smaller than the sum of its proper divisors (386421470307180).

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

132231001310100 is a wasteful number, since it uses less digits than its factorization.

132231001310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5031 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 132231001310100 its reverse (1013100132231), we get a palindrome (133244101442331).

The spelling of 132231001310100 in words is "one hundred thirty-two trillion, two hundred thirty-one billion, one million, three hundred ten thousand, one hundred".