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31142213112 = 23319557122611
BaseRepresentation
bin11101000000001110…
…000111010111111000
32222101100120100012110
4131000032013113320
51002234401304422
622150113412320
72151506305143
oct350016072770
988340510173
1031142213112
1112230a7070a
12605156a0a0
132c23c05a4a
14171601505a
15c2404c60c
hex7403875f8

31142213112 has 64 divisors (see below), whose sum is σ = 82100995200. Its totient is φ = 9816647040.

The previous prime is 31142213101. The next prime is 31142213143. The reversal of 31142213112 is 21131224113.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192687 + ... + 315297.

It is an arithmetic number, because the mean of its divisors is an integer number (1282828050).

Almost surely, 231142213112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142213112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41050497600).

31142213112 is an abundant number, since it is smaller than the sum of its proper divisors (50958782088).

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

31142213112 is a wasteful number, since it uses less digits than its factorization.

31142213112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123196 (or 123192 counting only the distinct ones).

The product of its digits is 288, while the sum is 21.

Adding to 31142213112 its reverse (21131224113), we get a palindrome (52273437225).

The spelling of 31142213112 in words is "thirty-one billion, one hundred forty-two million, two hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 557 1114 1671 2228 3342 4456 6684 10583 13368 21166 31749 42332 63498 84664 122611 126996 245222 253992 367833 490444 735666 980888 1471332 2329609 2942664 4659218 6988827 9318436 13977654 18636872 27955308 55910616 68294327 136588654 204882981 273177308 409765962 546354616 819531924 1297592213 1639063848 2595184426 3892776639 5190368852 7785553278 10380737704 15571106556 31142213112