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31032143142 = 237111310151157
BaseRepresentation
bin11100111001101010…
…001110110100100110
32222002200110012120220
4130321222032310212
51002023212040032
622131142305210
72146001602350
oct347152166446
988080405526
1031032143142
11121849214a0
126020728206
132c071778a0
1417055620d0
15c1955912c
hex739a8ed26

31032143142 has 128 divisors (see below), whose sum is σ = 84157774848. Its totient is φ = 7366464000.

The previous prime is 31032143141. The next prime is 31032143147. The reversal of 31032143142 is 24134123013.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31032143141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 581028 + ... + 632184.

It is an arithmetic number, because the mean of its divisors is an integer number (657482616).

Almost surely, 231032143142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31032143142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42078887424).

31032143142 is an abundant number, since it is smaller than the sum of its proper divisors (53125631706).

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

31032143142 is a wasteful number, since it uses less digits than its factorization.

31032143142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51294.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31032143142 its reverse (24134123013), we get a palindrome (55166266155).

The spelling of 31032143142 in words is "thirty-one billion, thirty-two million, one hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 6006 6666 7777 7878 9191 14443 15554 18382 23331 27573 28886 43329 46662 51157 55146 86658 101101 102314 153471 202202 303303 306942 358099 562727 606606 665041 716198 1074297 1125454 1330082 1688181 1995123 2148594 3376362 3939089 3990246 4655287 5166857 7315451 7878178 9310574 10333714 11817267 13965861 14630902 15500571 21946353 23634534 27931722 31001142 36167999 43892706 51208157 56835427 67169141 72335998 102416314 108503997 113670854 134338282 153624471 170506281 201507423 217007994 307248942 341012562 397847989 403014846 470183987 738860551 795695978 940367974 1193543967 1410551961 1477721102 2216581653 2387087934 2821103922 4433163306 5172023857 10344047714 15516071571 31032143142