Search a number
-
+
132202411220 = 225114724115303
BaseRepresentation
bin111101100011111100…
…0001011010011010100
3110122020102011022211202
41323013320023103110
54131222304124340
6140422152252032
712360045645215
oct1730770132324
9418212138752
10132202411220
11510808a62a0
12217563a1018
13c60b26b839
146581bb340c
15368b3a9c15
hex1ec7e0b4d4

132202411220 has 96 divisors (see below), whose sum is σ = 309494255616. Its totient is φ = 47022377600.

The previous prime is 132202411219. The next prime is 132202411247. The reversal of 132202411220 is 22114202231.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 132202411192 and 132202411201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24927089 + ... + 24932391.

It is an arithmetic number, because the mean of its divisors is an integer number (3223898496).

Almost surely, 2132202411220 is an apocalyptic number.

132202411220 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 132202411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154747127808).

132202411220 is an abundant number, since it is smaller than the sum of its proper divisors (177291844396).

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

132202411220 is a wasteful number, since it uses less digits than its factorization.

132202411220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7781 (or 7779 counting only the distinct ones).

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

Adding to 132202411220 its reverse (22114202231), we get a palindrome (154316613451).

The spelling of 132202411220 in words is "one hundred thirty-two billion, two hundred two million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2411 2585 4822 5170 5303 9644 10340 10606 12055 21212 24110 26515 26521 48220 53030 53042 58333 106060 106084 113317 116666 132605 226634 233332 249241 265210 291665 453268 498482 530420 566585 583330 996964 1133170 1166660 1246205 1246487 2266340 2492410 2492974 2741651 4984820 4985948 5483302 6232435 10966604 12464870 12785533 13708255 24929740 25571066 27416510 51142132 54833020 63927665 127855330 140640863 255710660 281281726 562563452 600920051 703204315 1201840102 1406408630 2403680204 2812817260 3004600255 6009200510 6610120561 12018401020 13220241122 26440482244 33050602805 66101205610 132202411220