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112131034020 = 22335297160347
BaseRepresentation
bin110100001101110000…
…1111100101110100100
3101201102121022201111000
41220123201330232210
53314121021042040
6123302353113300
711046466030425
oct1503341745644
9351377281430
10112131034020
1143611055555
1219894558830
13a75cb62595
1455da22b64c
152db4240130
hex1a1b87cba4

112131034020 has 96 divisors (see below), whose sum is σ = 360881539200. Its totient is φ = 28870515072.

The previous prime is 112131034013. The next prime is 112131034021. The reversal of 112131034020 is 20430131211.

112131034020 is a `hidden beast` number, since 1 + 12 + 1 + 310 + 340 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112131033984 and 112131034002.

It is not an unprimeable number, because it can be changed into a prime (112131034021) 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 31 ways as a sum of consecutive naturals, for example, 3564514 + ... + 3595833.

It is an arithmetic number, because the mean of its divisors is an integer number (3759182700).

Almost surely, 2112131034020 is an apocalyptic number.

112131034020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112131034020 is an abundant number, since it is smaller than the sum of its proper divisors (248750505180).

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

112131034020 is a wasteful number, since it uses less digits than its factorization.

112131034020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7160394 (or 7160386 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 112131034020 its reverse (20430131211), we get a palindrome (132561165231).

The spelling of 112131034020 in words is "one hundred twelve billion, one hundred thirty-one million, thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 29 30 36 45 54 58 60 87 90 108 116 135 145 174 180 261 270 290 348 435 522 540 580 783 870 1044 1305 1566 1740 2610 3132 3915 5220 7830 15660 7160347 14320694 21481041 28641388 35801735 42962082 64443123 71603470 85924164 107405205 128886246 143206940 193329369 207650063 214810410 257772492 322215615 386658738 415300126 429620820 622950189 644431230 773317476 830600252 966646845 1038250315 1245900378 1288862460 1868850567 1933293690 2076500630 2491800756 3114750945 3737701134 3866587380 4153001260 5606551701 6229501890 7475402268 9344252835 11213103402 12459003780 18688505670 22426206804 28032758505 37377011340 56065517010 112131034020