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120200101000 = 23537137125339
BaseRepresentation
bin110111111110001111…
…0111111110010001000
3102111020221200210110121
41233330132333302020
53432132211213000
6131115201153024
711453446000150
oct1577436776210
9374227623417
10120200101000
1146a81906a51
121b36692b774
13b4477a8625
145b63b53760
1531d782eb1a
hex1bfc7bfc88

120200101000 has 128 divisors (see below), whose sum is σ = 323798342400. Its totient is φ = 40910323200.

The previous prime is 120200100991. The next prime is 120200101031. The reversal of 120200101000 is 101002021.

It is a Harshad number since it is a multiple of its sum of digits (7).

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, 896331 + ... + 1021669.

It is an arithmetic number, because the mean of its divisors is an integer number (2529674550).

Almost surely, 2120200101000 is an apocalyptic number.

120200101000 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 120200101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161899171200).

120200101000 is an abundant number, since it is smaller than the sum of its proper divisors (203598241400).

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

120200101000 is a wasteful number, since it uses less digits than its factorization.

120200101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125504 (or 125490 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 120200101000 its reverse (101002021), we get a palindrome (120301103021).

The spelling of 120200101000 in words is "one hundred twenty billion, two hundred million, one hundred one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 137 140 175 200 250 274 280 350 500 548 685 700 875 959 1000 1096 1370 1400 1750 1918 2740 3425 3500 3836 4795 5480 6850 7000 7672 9590 13700 17125 19180 23975 27400 34250 38360 47950 68500 95900 119875 125339 137000 191800 239750 250678 479500 501356 626695 877373 959000 1002712 1253390 1754746 2506780 3133475 3509492 4386865 5013560 6266950 7018984 8773730 12533900 15667375 17171443 17547460 21934325 25067800 31334750 34342886 35094920 43868650 62669500 68685772 85857215 87737300 109671625 120200101 125339000 137371544 171714430 175474600 219343250 240400202 343428860 429286075 438686500 480800404 601000505 686857720 858572150 877373000 961600808 1202001010 1717144300 2146430375 2404002020 3005002525 3434288600 4292860750 4808004040 6010005050 8585721500 12020010100 15025012625 17171443000 24040020200 30050025250 60100050500 120200101000