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201332220120 = 23325559256167
BaseRepresentation
bin1011101110000001010…
…1011110000011011000
3201020200012002110221100
42323200111132003120
511244312022020440
6232254000111400
720355125430453
oct2734025360330
9636605073840
10201332220120
1178425875969
1233029905560
1315ca73287c5
149a5cdcc49a
1553853cb230
hex2ee055e0d8

201332220120 has 48 divisors (see below), whose sum is σ = 654329716560. Its totient is φ = 53688591936.

The previous prime is 201332220109. The next prime is 201332220137. The reversal of 201332220120 is 21022233102.

201332220120 is a `hidden beast` number, since 201 + 3 + 322 + 20 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 201332220093 and 201332220102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 279627724 + ... + 279628443.

It is an arithmetic number, because the mean of its divisors is an integer number (13631869095).

Almost surely, 2201332220120 is an apocalyptic number.

201332220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201332220120 is an abundant number, since it is smaller than the sum of its proper divisors (452997496440).

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

201332220120 is a wasteful number, since it uses less digits than its factorization.

201332220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559256184 (or 559256177 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 201332220120 its reverse (21022233102), we get a palindrome (222354453222).

The spelling of 201332220120 in words is "two hundred one billion, three hundred thirty-two million, two 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 559256167 1118512334 1677768501 2237024668 2796280835 3355537002 4474049336 5033305503 5592561670 6711074004 8388842505 10066611006 11185123340 13422148008 16777685010 20133222012 22370246680 25166527515 33555370020 40266444024 50333055030 67110740040 100666110060 201332220120