Search a number
-
+
112010131440 = 24325530929303
BaseRepresentation
bin110100001010001010…
…0101111011111110000
3101201010011211020022200
41220110110233133300
53313344043201230
6123242353503200
711043500256654
oct1502424573760
9351104736280
10112010131440
1143559887669
121985bb71b00
13a740ab08ac
1455c8158a64
152da880c160
hex1a1452f7f0

112010131440 has 120 divisors (see below), whose sum is σ = 376251052320. Its totient is φ = 29862723072.

The previous prime is 112010131423. The next prime is 112010131447. The reversal of 112010131440 is 44131010211.

112010131440 is a `hidden beast` number, since 1 + 120 + 101 + 3 + 1 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112010131447) 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 23 ways as a sum of consecutive naturals, for example, 3807829 + ... + 3837131.

It is an arithmetic number, because the mean of its divisors is an integer number (3135425436).

Almost surely, 2112010131440 is an apocalyptic number.

112010131440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112010131440 is an abundant number, since it is smaller than the sum of its proper divisors (264240920880).

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

112010131440 is a wasteful number, since it uses less digits than its factorization.

112010131440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34631 (or 34622 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 112010131440 its reverse (44131010211), we get a palindrome (156141141651).

The spelling of 112010131440 in words is "one hundred twelve billion, ten million, one hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 5309 10618 15927 21236 26545 29303 31854 42472 47781 53090 58606 63708 79635 84944 87909 95562 106180 117212 127416 146515 159270 175818 191124 212360 234424 238905 254832 263727 293030 318540 351636 382248 424720 439545 468848 477810 527454 586060 637080 703272 764496 879090 955620 1054908 1172120 1274160 1318635 1406544 1758180 1911240 2109816 2344240 2637270 3516360 3822480 4219632 5274540 7032720 10549080 21098160 155569627 311139254 466708881 622278508 777848135 933417762 1244557016 1400126643 1555696270 1866835524 2333544405 2489114032 2800253286 3111392540 3733671048 4667088810 5600506572 6222785080 7000633215 7467342096 9334177620 11201013144 12445570160 14001266430 18668355240 22402026288 28002532860 37336710480 56005065720 112010131440