Search a number
-
+
2002121044 = 2271133719289
BaseRepresentation
bin111011101010101…
…1111000101010100
312011112100021202021
41313111133011110
513100020333134
6530400222524
7100420514410
oct16725370524
95145307667
102002121044
119381661a0
1247a60aa44
1325ba3a911
1414dc8bd40
15bab810b4
hex7755f154

2002121044 has 48 divisors (see below), whose sum is σ = 4381453440. Its totient is φ = 777692160.

The previous prime is 2002121041. The next prime is 2002121063. The reversal of 2002121044 is 4401212002.

It is a super-3 number, since 3×20021210443 (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002121041) 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, 94152 + ... + 113440.

It is an arithmetic number, because the mean of its divisors is an integer number (91280280).

Almost surely, 22002121044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2002121044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2190726720).

2002121044 is an abundant number, since it is smaller than the sum of its proper divisors (2379332396).

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

2002121044 is a wasteful number, since it uses less digits than its factorization.

2002121044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19648 (or 19646 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2002121044 is about 44745.0672588611. The cubic root of 2002121044 is about 1260.3662838690.

Adding to 2002121044 its reverse (4401212002), we get a palindrome (6403333046).

The spelling of 2002121044 in words is "two billion, two million, one hundred twenty-one thousand, forty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 337 674 1348 2359 3707 4718 7414 9436 14828 19289 25949 38578 51898 77156 103796 135023 212179 270046 424358 540092 848716 1485253 2970506 5941012 6500393 13000786 26001572 45502751 71504323 91005502 143008646 182011004 286017292 500530261 1001060522 2002121044