Search a number
-
+
20312201120 = 255177467721
BaseRepresentation
bin10010111010101100…
…111001011110100000
31221102120222201200012
4102322230321132200
5313044410413440
613155320544052
71316232601151
oct227254713640
957376881605
1020312201120
118683787382
123b2a622028
131bb9288123
14da9953928
157dd389e65
hex4bab397a0

20312201120 has 48 divisors (see below), whose sum is σ = 50810380488. Its totient is φ = 7646945280.

The previous prime is 20312201111. The next prime is 20312201159. The reversal of 20312201120 is 2110221302.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 16038702736 + 4273498384 = 126644^2 + 65372^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20312201095 and 20312201104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3731141 + ... + 3736580.

Almost surely, 220312201120 is an apocalyptic number.

20312201120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20312201120 is an abundant number, since it is smaller than the sum of its proper divisors (30498179368).

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

20312201120 is a wasteful number, since it uses less digits than its factorization.

20312201120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7467753 (or 7467745 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 20312201120 its reverse (2110221302), we get a palindrome (22422422422).

The spelling of 20312201120 in words is "twenty billion, three hundred twelve million, two hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 7467721 14935442 29870884 37338605 59741768 74677210 119483536 126951257 149354420 238967072 253902514 298708840 507805028 597417680 634756285 1015610056 1194835360 1269512570 2031220112 2539025140 4062440224 5078050280 10156100560 20312201120