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132311102000 = 24537111750539
BaseRepresentation
bin111101100111001011…
…0110011001000110000
3110122111222200101120012
41323032112303020300
54131433120231000
6140441034034052
712362535545030
oct1731626631060
9418458611505
10132311102000
1151127193290
1221786878928
13c627935ccc
1465923c78c0
153695bc9735
hex1ece5b3230

132311102000 has 320 divisors, whose sum is σ = 422342968320. Its totient is φ = 38813184000.

The previous prime is 132311101957. The next prime is 132311102023. The reversal of 132311102000 is 201113231.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2592731 + ... + 2643269.

It is an arithmetic number, because the mean of its divisors is an integer number (1319821776).

Almost surely, 2132311102000 is an apocalyptic number.

132311102000 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 132311102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211171484160).

132311102000 is an abundant number, since it is smaller than the sum of its proper divisors (290031866320).

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

132311102000 is a wasteful number, since it uses less digits than its factorization.

132311102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50597 (or 50581 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 132311102000 its reverse (201113231), we get a palindrome (132512215231).

The spelling of 132311102000 in words is "one hundred thirty-two billion, three hundred eleven million, one hundred two thousand".