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3042332221131 = 34721589248537
BaseRepresentation
bin101100010001011001001…
…000011001111011001011
3101202211210100210220220000
4230101121020121323023
5344321144022034011
610245343401534043
7432541554125310
oct54213110317313
911684710726800
103042332221131
11a73278252aa5
1241175aaa4323
13190b76b29568
14a736d11cd07
1554210d64356
hex2c459219ecb

3042332221131 has 40 divisors (see below), whose sum is σ = 5194225486560. Its totient is φ = 1738388034432.

The previous prime is 3042332221121. The next prime is 3042332221151. The reversal of 3042332221131 is 1311222332403.

3042332221131 is a `hidden beast` number, since 3 + 0 + 423 + 3 + 2 + 221 + 13 + 1 = 666.

It is not a de Polignac number, because 3042332221131 - 29 = 3042332220619 is a prime.

It is a super-2 number, since 2×30423322211312 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3042332221095 and 3042332221104.

It is not an unprimeable number, because it can be changed into a prime (3042332221111) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12116695 + ... + 12365231.

It is an arithmetic number, because the mean of its divisors is an integer number (129855637164).

Almost surely, 23042332221131 is an apocalyptic number.

3042332221131 is a deficient number, since it is larger than the sum of its proper divisors (2151893265429).

3042332221131 is a wasteful number, since it uses less digits than its factorization.

3042332221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270145 (or 270136 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 3042332221131 its reverse (1311222332403), we get a palindrome (4353554553534).

The spelling of 3042332221131 in words is "three trillion, forty-two billion, three hundred thirty-two million, two hundred twenty-one thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 81 189 567 21589 64767 151123 194301 248537 453369 582903 745611 1360107 1739759 1748709 2236833 4080321 5219277 6710499 12240963 15657831 20131497 46973493 140920479 5365665293 16096995879 37559657051 48290987637 112678971153 144872962911 338036913459 434618888733 1014110740377 3042332221131