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132113310 = 2357337347
BaseRepresentation
bin1111101111111…
…10001110011110
3100012121001101120
413313332032132
5232310111220
621035351410
73162642000
oct767761636
9305531346
10132113310
116863575a
12382b2566
13214a8674
1413790370
15b8e9a40
hex7dfe39e

132113310 has 128 divisors (see below), whose sum is σ = 380851200. Its totient is φ = 29296512.

The previous prime is 132113309. The next prime is 132113339. The reversal of 132113310 is 13311231.

It is a super-2 number, since 2×1321133102 = 34907853358312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 132113310.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380557 + ... + 380903.

It is an arithmetic number, because the mean of its divisors is an integer number (2975400).

Almost surely, 2132113310 is an apocalyptic number.

132113310 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 132113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190425600).

132113310 is an abundant number, since it is smaller than the sum of its proper divisors (248737890).

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

132113310 is a wasteful number, since it uses less digits than its factorization.

132113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 132113310 is about 11494.0554200856. The cubic root of 132113310 is about 509.3099857304.

Adding to 132113310 its reverse (13311231), we get a palindrome (145424541).

The spelling of 132113310 in words is "one hundred thirty-two million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 37 42 49 70 74 98 105 111 147 185 210 222 245 259 294 343 347 370 490 518 555 686 694 735 777 1029 1041 1110 1295 1470 1554 1715 1735 1813 2058 2082 2429 2590 3430 3470 3626 3885 4858 5145 5205 5439 7287 7770 9065 10290 10410 10878 12145 12691 12839 14574 17003 18130 24290 25382 25678 27195 34006 36435 38073 38517 51009 54390 63455 64195 72870 76146 77034 85015 89873 102018 119021 126910 128390 170030 179746 190365 192585 238042 255045 269619 357063 380730 385170 449365 510090 539238 595105 629111 714126 898730 1190210 1258222 1348095 1785315 1887333 2696190 3145555 3570630 3774666 4403777 6291110 8807554 9436665 13211331 18873330 22018885 26422662 44037770 66056655 132113310