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132202041104 = 24717317413919
BaseRepresentation
bin111101100011111011…
…0110000111100010000
3110122020101110112010202
41323013312300330100
54131222210303404
6140422140314332
712360042544160
oct1730766607420
9418211415122
10132202041104
1151080673211
12217562429a8
13c60b16c233
146581b185a0
15368b33521e
hex1ec7db0f10

132202041104 has 80 divisors (see below), whose sum is σ = 294669473280. Its totient is φ = 56283793920.

The previous prime is 132202041089. The next prime is 132202041133. The reversal of 132202041104 is 401140202231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33731657 + ... + 33735575.

It is an arithmetic number, because the mean of its divisors is an integer number (3683368416).

Almost surely, 2132202041104 is an apocalyptic number.

132202041104 is a gapful number since it is divisible by the number (14) 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 132202041104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147334736640).

132202041104 is an abundant number, since it is smaller than the sum of its proper divisors (162467432176).

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

132202041104 is a wasteful number, since it uses less digits than its factorization.

132202041104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5848 (or 5842 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 132202041104 its reverse (401140202231), we get a palindrome (533342243335).

The spelling of 132202041104 in words is "one hundred thirty-two billion, two hundred two million, forty-one thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 173 346 692 1211 1384 1741 2422 2768 3482 3919 4844 6964 7838 9688 12187 13928 15676 19376 24374 27433 27856 31352 48748 54866 62704 97496 109732 194992 219464 301193 438928 602386 677987 1204772 1355974 2108351 2409544 2711948 4216702 4745909 4819088 5423896 6822979 8433404 9491818 10847792 13645958 16866808 18983636 27291916 33733616 37967272 47760853 54583832 75934544 95521706 109167664 191043412 382086824 764173648 1180375367 2360750734 4721501468 8262627569 9443002936 16525255138 18886005872 33050510276 66101020552 132202041104