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120201010200 = 233252619107881
BaseRepresentation
bin110111111110010001…
…0011101110000011000
3102111021000101222122200
41233330202131300120
53432132424311300
6131115232450200
711453456504655
oct1577442356030
9374230358580
10120201010200
1146a82378057
121b3670a9960
13b447a3640b
145b63d0cc2c
1531d795e200
hex1bfc89dc18

120201010200 has 144 divisors (see below), whose sum is σ = 404330947800. Its totient is φ = 32001523200.

The previous prime is 120201010177. The next prime is 120201010207. The reversal of 120201010200 is 2010102021.

120201010200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201010207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1060260 + ... + 1168140.

Almost surely, 2120201010200 is an apocalyptic number.

120201010200 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 120201010200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202165473900).

120201010200 is an abundant number, since it is smaller than the sum of its proper divisors (284129937600).

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

120201010200 is a wasteful number, since it uses less digits than its factorization.

120201010200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108522 (or 108510 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 120201010200 its reverse (2010102021), we get a palindrome (122211112221).

The spelling of 120201010200 in words is "one hundred twenty billion, two hundred one million, ten thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 180 200 225 300 360 450 600 619 900 1238 1800 1857 2476 3095 3714 4952 5571 6190 7428 9285 11142 12380 14856 15475 18570 22284 24760 27855 30950 37140 44568 46425 55710 61900 74280 92850 107881 111420 123800 139275 185700 215762 222840 278550 323643 371400 431524 539405 557100 647286 863048 970929 1078810 1114200 1294572 1618215 1941858 2157620 2589144 2697025 3236430 3883716 4315240 4854645 5394050 6472860 7767432 8091075 9709290 10788100 12945720 16182150 19418580 21576200 24273225 32364300 38837160 48546450 64728600 66778339 97092900 133556678 194185800 200335017 267113356 333891695 400670034 534226712 601005051 667783390 801340068 1001675085 1202010102 1335566780 1602680136 1669458475 2003350170 2404020204 2671133560 3005025255 3338916950 4006700340 4808040408 5008375425 6010050510 6677833900 8013400680 10016750850 12020101020 13355667800 15025126275 20033501700 24040202040 30050252550 40067003400 60100505100 120201010200