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112422101040 = 24335239217771
BaseRepresentation
bin110100010110011100…
…0010010000000110000
3101202011220000110101000
41220230320102000300
53320220024213130
6123351311442000
711056632043344
oct1505470220060
9352156013330
10112422101040
1143750388507
1219955b26300
13a7a82533a2
145626b57624
152dcea87260
hex1a2ce12030

112422101040 has 160 divisors (see below), whose sum is σ = 388853683200. Its totient is φ = 29853653760.

The previous prime is 112422101021. The next prime is 112422101041. The reversal of 112422101040 is 40101224211.

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

It is not an unprimeable number, because it can be changed into a prime (112422101041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 407355 + ... + 625125.

It is an arithmetic number, because the mean of its divisors is an integer number (2430335520).

Almost surely, 2112422101040 is an apocalyptic number.

112422101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112422101040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194426841600).

112422101040 is an abundant number, since it is smaller than the sum of its proper divisors (276431582160).

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

112422101040 is a wasteful number, since it uses less digits than its factorization.

112422101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218032 (or 218020 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112422101040 its reverse (40101224211), we get a palindrome (152523325251).

The spelling of 112422101040 in words is "one hundred twelve billion, four hundred twenty-two million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 239 240 270 360 432 478 540 717 720 956 1080 1195 1434 1912 2151 2160 2390 2868 3585 3824 4302 4780 5736 6453 7170 8604 9560 10755 11472 12906 14340 17208 19120 21510 25812 28680 32265 34416 43020 51624 57360 64530 86040 103248 129060 172080 217771 258120 435542 516240 653313 871084 1088855 1306626 1742168 1959939 2177710 2613252 3266565 3484336 3919878 4355420 5226504 5879817 6533130 7839756 8710840 9799695 10453008 11759634 13066260 15679512 17421680 19599390 23519268 26132520 29399085 31359024 39198780 47038536 52047269 52265040 58798170 78397560 94077072 104094538 117596340 156141807 156795120 208189076 235192680 260236345 312283614 416378152 468425421 470385360 520472690 624567228 780709035 832756304 936850842 1040945380 1249134456 1405276263 1561418070 1873701684 2081890760 2342127105 2498268912 2810552526 3122836140 3747403368 4163781520 4684254210 5621105052 6245672280 7026381315 7494806736 9368508420 11242210104 12491344560 14052762630 18737016840 22484420208 28105525260 37474033680 56211050520 112422101040