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132303201120 = 2533530625741
BaseRepresentation
bin111101100110111100…
…0101010001101100000
3110122111102210222121000
41323031320222031200
54131424104413440
6140440152432000
712362411440266
oct1731570521540
9418442728530
10132303201120
1151122787232
12217840a8600
13c6260caa2c
14659132c436
153695168730
hex1ecde2a360

132303201120 has 96 divisors (see below), whose sum is σ = 463061219040. Its totient is φ = 35280852480.

The previous prime is 132303201109. The next prime is 132303201127. The reversal of 132303201120 is 21102303231.

132303201120 is a `hidden beast` number, since 1 + 3 + 230 + 320 + 112 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 132303201093 and 132303201102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132303201127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15308551 + ... + 15317190.

It is an arithmetic number, because the mean of its divisors is an integer number (4823554365).

Almost surely, 2132303201120 is an apocalyptic number.

132303201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132303201120 is an abundant number, since it is smaller than the sum of its proper divisors (330758017920).

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

132303201120 is a wasteful number, since it uses less digits than its factorization.

132303201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30625765 (or 30625751 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 132303201120 its reverse (21102303231), we get a palindrome (153405504351).

The spelling of 132303201120 in words is "one hundred thirty-two billion, three hundred three million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 30625741 61251482 91877223 122502964 153128705 183754446 245005928 275631669 306257410 367508892 459386115 490011856 551263338 612514820 735017784 826895007 918772230 980023712 1102526676 1225029640 1378158345 1470035568 1653790014 1837544460 2205053352 2450059280 2756316690 2940071136 3307580028 3675088920 4134475035 4410106704 4900118560 5512633380 6615160056 7350177840 8268950070 8820213408 11025266760 13230320112 14700355680 16537900140 22050533520 26460640224 33075800280 44101067040 66151600560 132303201120