Search a number
-
+
2002131021 = 31117353233
BaseRepresentation
bin111011101010110…
…0001100001001101
312011112100210102210
41313111201201031
513100021143041
6530400341033
7100420555452
oct16725414115
95145323383
102002131021
11938172740
1247a614779
1325ba42317
1414dc91829
15bab84016
hex7756184d

2002131021 has 64 divisors (see below), whose sum is σ = 3166076160. Its totient is φ = 1115678720.

The previous prime is 2002130993. The next prime is 2002131083. The reversal of 2002131021 is 1201312002.

It is not a de Polignac number, because 2002131021 - 214 = 2002114637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002130988 and 2002131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2002131221) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8592721 + ... + 8592953.

It is an arithmetic number, because the mean of its divisors is an integer number (49469940).

Almost surely, 22002131021 is an apocalyptic number.

It is an amenable number.

2002131021 is a deficient number, since it is larger than the sum of its proper divisors (1163945139).

2002131021 is a wasteful number, since it uses less digits than its factorization.

2002131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2002131021 is about 44745.1787458716. The cubic root of 2002131021 is about 1260.3683774244.

Adding to 2002131021 its reverse (1201312002), we get a palindrome (3203443023).

The spelling of 2002131021 in words is "two billion, two million, one hundred thirty-one thousand, twenty-one".

Divisors: 1 3 11 17 33 51 53 159 187 233 289 561 583 699 867 901 1749 2563 2703 3179 3961 4913 7689 9537 9911 11883 12349 14739 15317 29733 37047 43571 45951 54043 67337 130713 135839 162129 168487 202011 209933 260389 407517 505461 629799 740707 781167 1144729 2222121 2309263 2864279 3434187 3568861 6927789 8592837 10706583 12592019 37776057 39257471 60670637 117772413 182011911 667377007 2002131021