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132011113302 = 2321736723203
BaseRepresentation
bin111101011110001111…
…0011011101101010110
3110121202002012101102200
41322330132123231112
54130324321111202
6140351200145330
712352233643305
oct1727436335526
9417662171380
10132011113302
1150a92917342
1221702308246
13c5aa7403c3
14656461843c
1536796bde1c
hex1ebc79bb56

132011113302 has 72 divisors (see below), whose sum is σ = 303771284856. Its totient is φ = 41289508224.

The previous prime is 132011113229. The next prime is 132011113309. The reversal of 132011113302 is 203311110231.

132011113302 is a `hidden beast` number, since 1 + 320 + 1 + 1 + 11 + 330 + 2 = 666.

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 (132011113309) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41213233 + ... + 41216435.

It is an arithmetic number, because the mean of its divisors is an integer number (4219045623).

Almost surely, 2132011113302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132011113302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151885642428).

132011113302 is an abundant number, since it is smaller than the sum of its proper divisors (171760171554).

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

132011113302 is a wasteful number, since it uses less digits than its factorization.

132011113302 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3962 (or 3592 counting only the distinct ones).

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

Adding to 132011113302 its reverse (203311110231), we get a palindrome (335322223533).

The spelling of 132011113302 in words is "one hundred thirty-two billion, eleven million, one hundred thirteen thousand, three hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 367 734 1101 2202 3203 3303 6239 6406 6606 9609 12478 18717 19218 28827 37434 54451 56151 57654 108902 112302 134689 163353 269378 326706 404067 490059 808134 980118 1175501 1212201 2289713 2351002 2424402 3526503 4579426 6869139 7053006 10579509 13738278 19983517 20607417 21159018 39967034 41214834 59950551 119901102 179851653 359703306 431408867 862817734 1294226601 2588453202 3882679803 7333950739 7765359606 14667901478 22001852217 44003704434 66005556651 132011113302