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132203001002112 = 27323117323989533
BaseRepresentation
bin11110000011110011101000…
…111010011011100010000000
3122100002111001110001112012200
4132003303220322123202000
5114312003221224031422
61145101115322553200
736563231415232035
oct3603635072334200
9570074043045180
10132203001002112
113913aa835a4547
12129b19b1668800
13589c8c6ab1101
14249093351738c
151043d841db2ac
hex783ce8e9b880

132203001002112 has 384 divisors, whose sum is σ = 396626738227200. Its totient is φ = 42221744087040.

The previous prime is 132203001002089. The next prime is 132203001002173. The reversal of 132203001002112 is 211200100302231.

132203001002112 is a `hidden beast` number, since 1 + 32 + 20 + 300 + 100 + 211 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1476539298 + ... + 1476628830.

It is an arithmetic number, because the mean of its divisors is an integer number (1032882130800).

Almost surely, 2132203001002112 is an apocalyptic number.

132203001002112 is a gapful number since it is divisible by the number (12) 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 132203001002112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198313369113600).

132203001002112 is an abundant number, since it is smaller than the sum of its proper divisors (264423737225088).

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

132203001002112 is a wasteful number, since it uses less digits than its factorization.

132203001002112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89996 (or 89981 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 132203001002112 its reverse (211200100302231), we get a palindrome (343403101304343).

The spelling of 132203001002112 in words is "one hundred thirty-two trillion, two hundred three billion, one million, two thousand, one hundred twelve".