Search a number
-
+
2043202120 = 2351722913121
BaseRepresentation
bin111100111001000…
…1100101001001000
312021101122102101121
41321302030221020
513141024431440
6534424525024
7101426634331
oct17162145110
95241572347
102043202120
11959374aa3
12490320774
132673c254b
14155503288
15be59834a
hex79c8ca48

2043202120 has 64 divisors (see below), whose sum is σ = 4889257200. Its totient is φ = 765788160.

The previous prime is 2043202111. The next prime is 2043202127. The reversal of 2043202120 is 212023402.

It can be written as a sum of positive squares in 8 ways, for example, as 1297584484 + 745617636 = 36022^2 + 27306^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2043202094 and 2043202103.

It is not an unprimeable number, because it can be changed into a prime (2043202127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 149160 + ... + 162280.

Almost surely, 22043202120 is an apocalyptic number.

2043202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2043202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2444628600).

2043202120 is an abundant number, since it is smaller than the sum of its proper divisors (2846055080).

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

2043202120 is a wasteful number, since it uses less digits than its factorization.

2043202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13378 (or 13374 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 2043202120 is about 45201.7933272564. The cubic root of 2043202120 is about 1268.9283786828.

Adding to 2043202120 its reverse (212023402), we get a palindrome (2255225522).

The spelling of 2043202120 in words is "two billion, forty-three million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 229 340 458 680 916 1145 1832 2290 3893 4580 7786 9160 13121 15572 19465 26242 31144 38930 52484 65605 77860 104968 131210 155720 223057 262420 446114 524840 892228 1115285 1784456 2230570 3004709 4461140 6009418 8922280 12018836 15023545 24037672 30047090 51080053 60094180 102160106 120188360 204320212 255400265 408640424 510800530 1021601060 2043202120