Search a number
-
+
132023100 = 223521123637
BaseRepresentation
bin1111101111010…
…00001100111100
3100012102110122110
413313220030330
5232244214400
621033414020
73162114666
oct767501474
9305373573
10132023100
1168583a00
123826a310
13214765a1
1413769536
15b8cce50
hex7de833c

132023100 has 108 divisors (see below), whose sum is σ = 419985272. Its totient is φ = 31996800.

The previous prime is 132023069. The next prime is 132023113. The reversal of 132023100 is 1320231.

It is a happy number.

It is a super-2 number, since 2×1320231002 = 34860197867220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 34482 + ... + 38118.

Almost surely, 2132023100 is an apocalyptic number.

132023100 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 132023100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209992636).

132023100 is an abundant number, since it is smaller than the sum of its proper divisors (287962172).

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

132023100 is a wasteful number, since it uses less digits than its factorization.

132023100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 132023100 is about 11490.1305475612. The cubic root of 132023100 is about 509.1940364865.

Adding to 132023100 its reverse (1320231), we get a palindrome (133343331).

Multiplying 132023100 by its reverse (1320231), we get a square (174300989336100 = 132023102).

132023100 divided by its reverse (1320231) gives a square (100 = 102).

The spelling of 132023100 in words is "one hundred thirty-two million, twenty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 121 132 150 165 220 242 275 300 330 363 484 550 605 660 726 825 1100 1210 1452 1650 1815 2420 3025 3300 3630 3637 6050 7260 7274 9075 10911 12100 14548 18150 18185 21822 36300 36370 40007 43644 54555 72740 80014 90925 109110 120021 160028 181850 200035 218220 240042 272775 363700 400070 440077 480084 545550 600105 800140 880154 1000175 1091100 1200210 1320231 1760308 2000350 2200385 2400420 2640462 3000525 4000700 4400770 5280924 6001050 6601155 8801540 11001925 12002100 13202310 22003850 26404620 33005775 44007700 66011550 132023100