Search a number
-
+
201000120120 = 23325619901993
BaseRepresentation
bin1011101100110010001…
…0100110111100111000
3201012211001012001101100
42323030202212330320
511243122012320440
6232201014051400
720343653555052
oct2731442467470
9635731161340
10201000120120
1178275367258
1232b56649b60
1315c5359bc27
149a2ac608d2
15536617b230
hex2ecc8a6f38

201000120120 has 96 divisors (see below), whose sum is σ = 654306447600. Its totient is φ = 53513381376.

The previous prime is 201000120059. The next prime is 201000120127. The reversal of 201000120120 is 21021000102.

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 (201000120127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 228157 + ... + 673836.

Almost surely, 2201000120120 is an apocalyptic number.

201000120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201000120120 is an abundant number, since it is smaller than the sum of its proper divisors (453306327480).

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

201000120120 is a wasteful number, since it uses less digits than its factorization.

201000120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 902629 (or 902622 counting only the distinct ones).

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

Adding to 201000120120 its reverse (21021000102), we get a palindrome (222021120222).

The spelling of 201000120120 in words is "two hundred one billion, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 619 1238 1857 2476 3095 3714 4952 5571 6190 7428 9285 11142 12380 14856 18570 22284 24760 27855 37140 44568 55710 74280 111420 222840 901993 1803986 2705979 3607972 4509965 5411958 7215944 8117937 9019930 10823916 13529895 16235874 18039860 21647832 27059790 32471748 36079720 40589685 54119580 64943496 81179370 108239160 162358740 324717480 558333667 1116667334 1675001001 2233334668 2791668335 3350002002 4466669336 5025003003 5583336670 6700004004 8375005005 10050006006 11166673340 13400008008 16750010010 20100012012 22333346680 25125015015 33500020020 40200024024 50250030030 67000040040 100500060060 201000120120