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132304410120 = 23351780980167
BaseRepresentation
bin111101100110111110…
…1010001011000001000
3110122111112002102000210
41323031331101120020
54131424412110440
6140440234401120
712362424634131
oct1731575213010
9418445072023
10132304410120
1151123432603
12217845901a0
13c62643210c
146591564c88
153695306a80
hex1ecdf51608

132304410120 has 128 divisors (see below), whose sum is σ = 420785798400. Its totient is φ = 33164353536.

The previous prime is 132304410101. The next prime is 132304410167. The reversal of 132304410120 is 21014403231.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1610277 + ... + 1690443.

It is an arithmetic number, because the mean of its divisors is an integer number (3287389050).

Almost surely, 2132304410120 is an apocalyptic number.

132304410120 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 132304410120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210392899200).

132304410120 is an abundant number, since it is smaller than the sum of its proper divisors (288481388280).

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

132304410120 is a wasteful number, since it uses less digits than its factorization.

132304410120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81007 (or 81003 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 132304410120 its reverse (21014403231), we get a palindrome (153318813351).

The spelling of 132304410120 in words is "one hundred thirty-two billion, three hundred four million, four hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 204 255 340 408 510 680 809 1020 1618 2040 2427 3236 4045 4854 6472 8090 9708 12135 13753 16180 19416 24270 27506 32360 41259 48540 55012 68765 80167 82518 97080 110024 137530 160334 165036 206295 240501 275060 320668 330072 400835 412590 481002 550120 641336 801670 825180 962004 1202505 1362839 1603340 1650360 1924008 2405010 2725678 3206680 4088517 4810020 5451356 6814195 8177034 9620040 10902712 13628390 16354068 20442585 27256780 32708136 40885170 54513560 64855103 81770340 129710206 163540680 194565309 259420412 324275515 389130618 518840824 648551030 778261236 972826545 1102536751 1297102060 1556522472 1945653090 2205073502 2594204120 3307610253 3891306180 4410147004 5512683755 6615220506 7782612360 8820294008 11025367510 13230441012 16538051265 22050735020 26460882024 33076102530 44101470040 66152205060 132304410120