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3135103522542 = 23210919931125819
BaseRepresentation
bin101101100111110010101…
…110110101011011101110
3102002201020202101022212100
4231213302232311123232
5402331143000210132
610400125140515530
7442334534151645
oct55476256653356
912081222338770
103135103522542
11aa965422a932
1242772b9abba6
1319983cb3b254
14aba500d035c
155684065c37c
hex2d9f2bb56ee

3135103522542 has 96 divisors (see below), whose sum is σ = 6911910720000. Its totient is φ = 1026891328320.

The previous prime is 3135103522513. The next prime is 3135103522559. The reversal of 3135103522542 is 2452253015313.

3135103522542 is a `hidden beast` number, since 3 + 1 + 3 + 5 + 103 + 5 + 2 + 2 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3135103522497 and 3135103522506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 121413309 + ... + 121439127.

It is an arithmetic number, because the mean of its divisors is an integer number (71999070000).

Almost surely, 23135103522542 is an apocalyptic number.

3135103522542 is an abundant number, since it is smaller than the sum of its proper divisors (3776807197458).

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

3135103522542 is a wasteful number, since it uses less digits than its factorization.

3135103522542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26446 (or 26443 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

Adding to 3135103522542 its reverse (2452253015313), we get a palindrome (5587356537855).

It can be divided in two parts, 3135103522 and 542, that added together give a square (3135104064 = 559922).

The spelling of 3135103522542 in words is "three trillion, one hundred thirty-five billion, one hundred three million, five hundred twenty-two thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 109 199 218 311 327 398 597 622 654 933 981 1194 1791 1866 1962 2799 3582 5598 21691 25819 33899 43382 51638 61889 65073 67798 77457 101697 123778 130146 154914 185667 195219 203394 232371 305091 371334 390438 464742 557001 610182 1114002 2814271 5137981 5628542 6745901 8029709 8442813 10275962 13491802 15413943 16059418 16885626 20237703 24089127 25328439 30827886 40475406 46241829 48178254 50656878 60713109 72267381 92483658 121426218 144534762 560039929 875238281 1120079858 1597912091 1680119787 1750476562 2625714843 3195824182 3360239574 4793736273 5040359361 5251429686 7877144529 9587472546 10080718722 14381208819 15754289058 28762417638 174172417919 348344835838 522517253757 1045034507514 1567551761271 3135103522542