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132036723330 = 2353729113529
BaseRepresentation
bin111101011111000000…
…0001000001010000010
3110121210212101111210020
41322332000020022002
54130402400121310
6140353513114310
712352664426151
oct1727600101202
9417725344706
10132036723330
1150aa6319556
122170a9b8996
13c5b2b39175
146567ba3598
15367ba7c170
hex1ebe008282

132036723330 has 96 divisors (see below), whose sum is σ = 326134045440. Its totient is φ = 34210874880.

The previous prime is 132036723307. The next prime is 132036723331. The reversal of 132036723330 is 33327630231.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132036723291 and 132036723300.

It is not an unprimeable number, because it can be changed into a prime (132036723331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37413006 + ... + 37416534.

It is an arithmetic number, because the mean of its divisors is an integer number (3397229640).

Almost surely, 2132036723330 is an apocalyptic number.

132036723330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132036723330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163067022720).

132036723330 is an abundant number, since it is smaller than the sum of its proper divisors (194097322110).

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

132036723330 is a wasteful number, since it uses less digits than its factorization.

132036723330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4524 (or 4487 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 33.

The spelling of 132036723330 in words is "one hundred thirty-two billion, thirty-six million, seven hundred twenty-three thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 555 911 1110 1369 1822 2733 2738 3529 4107 4555 5466 6845 7058 8214 9110 10587 13665 13690 17645 20535 21174 27330 33707 35290 41070 52935 67414 101121 105870 130573 168535 202242 261146 337070 391719 505605 652865 783438 1011210 1247159 1305730 1958595 2494318 3214919 3741477 3917190 4831201 6235795 6429838 7482954 9644757 9662402 12471590 14493603 16074595 18707385 19289514 24156005 28987206 32149190 37414770 48223785 48312010 72468015 96447570 118952003 144936030 237904006 356856009 594760015 713712018 1189520030 1784280045 3568560090 4401224111 8802448222 13203672333 22006120555 26407344666 44012241110 66018361665 132036723330