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3004201123 = 7211131157271
BaseRepresentation
bin1011001100010000…
…0111100010100011
321202100221020012021
42303010013202203
522123033413443
61214034242311
7134306200600
oct26304074243
97670836167
103004201123
11130187a850
126ba126397
1338b525801
14206dbb6a7
15128b239ed
hexb31078a3

3004201123 has 48 divisors (see below), whose sum is σ = 3880217088. Its totient is φ = 2299752000.

The previous prime is 3004201091. The next prime is 3004201133. The reversal of 3004201123 is 3211024003.

It is a happy number.

It is not a de Polignac number, because 3004201123 - 25 = 3004201091 is a prime.

It is a super-2 number, since 2×30042011232 = 18050448774868922258, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3004201097 and 3004201106.

It is not an unprimeable number, because it can be changed into a prime (3004201133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11085478 + ... + 11085748.

It is an arithmetic number, because the mean of its divisors is an integer number (80837856).

Almost surely, 23004201123 is an apocalyptic number.

3004201123 is a deficient number, since it is larger than the sum of its proper divisors (876015965).

3004201123 is a wasteful number, since it uses less digits than its factorization.

3004201123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 584 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 3004201123 is about 54810.5931640956. The cubic root of 3004201123 is about 1442.9224860539.

Adding to 3004201123 its reverse (3211024003), we get a palindrome (6215225126).

The spelling of 3004201123 in words is "three billion, four million, two hundred one thousand, one hundred twenty-three".

Divisors: 1 7 11 49 77 131 157 271 539 917 1099 1441 1727 1897 2981 6419 7693 10087 12089 13279 20567 20867 35501 42547 70609 84623 143969 146069 226237 248507 297829 390511 468017 1007783 1583659 1739549 2084803 2733577 3276119 5573657 11085613 19135039 22932833 39015599 61310227 273109193 429171589 3004201123