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201200101120 = 2851031526093
BaseRepresentation
bin1011101101100001110…
…1011110011100000000
3201020022222111010202001
42323120131132130000
511244024211213440
6232232520233344
720351632433044
oct2733035363400
9636288433661
10201200101120
1178368236a07
1232bb160b854
1315c85b4a695
149a4963a024
1553789ceb9a
hex2ed875e700

201200101120 has 72 divisors (see below), whose sum is σ = 486616437216. Its totient is φ = 79698628608.

The previous prime is 201200101021. The next prime is 201200101153. The reversal of 201200101120 is 21101002102.

201200101120 is digitally balanced in base 2, 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 (10).

It is a junction number, because it is equal to n+sod(n) for n = 201200101097 and 201200101106.

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 7 ways as a sum of consecutive naturals, for example, 631207 + ... + 894886.

It is an arithmetic number, because the mean of its divisors is an integer number (6758561628).

Almost surely, 2201200101120 is an apocalyptic number.

201200101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201200101120 is an abundant number, since it is smaller than the sum of its proper divisors (285416336096).

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

201200101120 is a wasteful number, since it uses less digits than its factorization.

201200101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1526217 (or 1526203 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 201200101120 its reverse (21101002102), we get a palindrome (222301103222).

The spelling of 201200101120 in words is "two hundred one billion, two hundred million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 103 128 160 206 256 320 412 515 640 824 1030 1280 1648 2060 3296 4120 6592 8240 13184 16480 26368 32960 65920 131840 1526093 3052186 6104372 7630465 12208744 15260930 24417488 30521860 48834976 61043720 97669952 122087440 157187579 195339904 244174880 314375158 390679808 488349760 628750316 785937895 976699520 1257500632 1571875790 1953399040 2515001264 3143751580 5030002528 6287503160 10060005056 12575006320 20120010112 25150012640 40240020224 50300025280 100600050560 201200101120