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201102480 = 2433593103
BaseRepresentation
bin10111111110010…
…01010010010000
3112000102001202000
423333021102100
5402440234410
631542154000
74661225415
oct1377112220
9460361660
10201102480
11a35762a7
1257422900
1332882067
141c9cc10c
15129c5dc0
hexbfc9490

201102480 has 80 divisors (see below), whose sum is σ = 692693760. Its totient is φ = 53626752.

The previous prime is 201102467. The next prime is 201102509. The reversal of 201102480 is 84201102.

201102480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44392 + ... + 48711.

It is an arithmetic number, because the mean of its divisors is an integer number (8658672).

Almost surely, 2201102480 is an apocalyptic number.

201102480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201102480 is an abundant number, since it is smaller than the sum of its proper divisors (491591280).

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

201102480 is a wasteful number, since it uses less digits than its factorization.

201102480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93125 (or 93113 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 201102480 is about 14181.0606091364. The cubic root of 201102480 is about 585.8761362298.

Adding to 201102480 its reverse (84201102), we get a palindrome (285303582).

It can be divided in two parts, 20 and 1102480, that added together give a square (1102500 = 10502).

The spelling of 201102480 in words is "two hundred one million, one hundred two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 93103 186206 279309 372412 465515 558618 744824 837927 931030 1117236 1396545 1489648 1675854 1862060 2234472 2513781 2793090 3351708 3724120 4189635 4468944 5027562 5586180 6703416 7448240 8379270 10055124 11172360 12568905 13406832 16758540 20110248 22344720 25137810 33517080 40220496 50275620 67034160 100551240 201102480