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102201240000 = 26354851677
BaseRepresentation
bin101111100101110101…
…0110010100111000000
3100202210120122220212010
41133023222302213000
53133302004140000
6114541155132520
710245433130556
oct1371352624700
9322716586763
10102201240000
113a385a32312
1217982ba4140
139839886612
144d37541bd6
1529d25edd50
hex17cbab29c0

102201240000 has 140 divisors (see below), whose sum is σ = 337901543144. Its totient is φ = 27253632000.

The previous prime is 102201239977. The next prime is 102201240017. The reversal of 102201240000 is 42102201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 305839 + ... + 545838.

Almost surely, 2102201240000 is an apocalyptic number.

102201240000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102201240000 is an abundant number, since it is smaller than the sum of its proper divisors (235700303144).

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

102201240000 is an frugal number, since it uses more digits than its factorization.

102201240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851712 (or 851687 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102201240000 its reverse (42102201), we get a palindrome (102243342201).

The spelling of 102201240000 in words is "one hundred two billion, two hundred one million, two hundred forty 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 96 100 120 125 150 160 192 200 240 250 300 320 375 400 480 500 600 625 750 800 960 1000 1200 1250 1500 1600 1875 2000 2400 2500 3000 3750 4000 4800 5000 6000 7500 8000 10000 12000 15000 20000 24000 30000 40000 60000 120000 851677 1703354 2555031 3406708 4258385 5110062 6813416 8516770 10220124 12775155 13626832 17033540 20440248 21291925 25550310 27253664 34067080 40880496 42583850 51100620 54507328 63875775 68134160 81760992 85167700 102201240 106459625 127751550 136268320 163521984 170335400 204402480 212919250 255503100 272536640 319378875 340670800 408804960 425838500 511006200 532298125 638757750 681341600 817609920 851677000 1022012400 1064596250 1277515500 1362683200 1596894375 1703354000 2044024800 2129192500 2555031000 3193788750 3406708000 4088049600 4258385000 5110062000 6387577500 6813416000 8516770000 10220124000 12775155000 17033540000 20440248000 25550310000 34067080000 51100620000 102201240000