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102122232000 = 263534255093
BaseRepresentation
bin101111100011011110…
…1011001100011000000
3100202121001222220020220
41133012331121203000
53133121242411000
6114525253503040
710243453435545
oct1370675314300
9322531886226
10102122232000
113a345379448
1217960641a80
1398263b2919
144d2ac56bcc
1529ca6e41a0
hex17c6f598c0

102122232000 has 112 divisors (see below), whose sum is σ = 337207689312. Its totient is φ = 27232588800.

The previous prime is 102122231993. The next prime is 102122232053. The reversal of 102122232000 is 232221201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

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 15 ways as a sum of consecutive naturals, for example, 2103547 + ... + 2151546.

Almost surely, 2102122232000 is an apocalyptic number.

102122232000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122232000 is an abundant number, since it is smaller than the sum of its proper divisors (235085457312).

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

102122232000 is an equidigital number, since it uses as much as digits as its factorization.

102122232000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4255123 (or 4255103 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 102122232000 its reverse (232221201), we get a palindrome (102354453201).

The spelling of 102122232000 in words is "one hundred two billion, one hundred twenty-two million, two hundred thirty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 750 800 960 1000 1200 1500 1600 2000 2400 3000 4000 4800 6000 8000 12000 24000 4255093 8510186 12765279 17020372 21275465 25530558 34040744 42550930 51061116 63826395 68081488 85101860 102122232 106377325 127652790 136162976 170203720 204244464 212754650 255305580 272325952 319131975 340407440 408488928 425509300 510611160 531886625 638263950 680814880 816977856 851018600 1021222320 1063773250 1276527900 1361629760 1595659875 1702037200 2042444640 2127546500 2553055800 3191319750 3404074400 4084889280 4255093000 5106111600 6382639500 6808148800 8510186000 10212223200 12765279000 17020372000 20424446400 25530558000 34040744000 51061116000 102122232000