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132300001320 = 233553109190843
BaseRepresentation
bin111101100110110110…
…0011101000000101000
3110122111012210102021220
41323031230131000220
54131422300020240
6140440000102040
712362342312364
oct1731554350050
9418435712256
10132300001320
11511209a1173
1221783004920
13c62554a466
146590b382a4
153694c355d0
hex1ecdb1d028

132300001320 has 128 divisors (see below), whose sum is σ = 408100809600. Its totient is φ = 34296597504.

The previous prime is 132300001313. The next prime is 132300001363. The reversal of 132300001320 is 23100003231.

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 132300001320.

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, 597819 + ... + 788661.

It is an arithmetic number, because the mean of its divisors is an integer number (3188287575).

Almost surely, 2132300001320 is an apocalyptic number.

132300001320 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 132300001320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204050404800).

132300001320 is an abundant number, since it is smaller than the sum of its proper divisors (275800808280).

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

132300001320 is a wasteful number, since it uses less digits than its factorization.

132300001320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191019 (or 191015 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 132300001320 its reverse (23100003231), we get a palindrome (155400004551).

The spelling of 132300001320 in words is "one hundred thirty-two billion, three hundred million, one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 109 120 159 212 218 265 318 327 424 436 530 545 636 654 795 872 1060 1090 1272 1308 1590 1635 2120 2180 2616 3180 3270 4360 5777 6360 6540 11554 13080 17331 23108 28885 34662 46216 57770 69324 86655 115540 138648 173310 190843 231080 346620 381686 572529 693240 763372 954215 1145058 1526744 1908430 2290116 2862645 3816860 4580232 5725290 7633720 10114679 11450580 20229358 20801887 22901160 30344037 40458716 41603774 50573395 60688074 62405661 80917432 83207548 101146790 104009435 121376148 124811322 151720185 166415096 202293580 208018870 242752296 249622644 303440370 312028305 404587160 416037740 499245288 606880740 624056610 832075480 1102500011 1213761480 1248113220 2205000022 2496226440 3307500033 4410000044 5512500055 6615000066 8820000088 11025000110 13230000132 16537500165 22050000220 26460000264 33075000330 44100000440 66150000660 132300001320