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112012635540 = 223513218161031
BaseRepresentation
bin110100001010001111…
…0010010110110010100
3101201010100112110022010
41220110132102312110
53313400213314130
6123242523304220
711043530456361
oct1502436226624
9351110473263
10112012635540
1143560237a73
121986097b070
13a741479600
1455c860b468
152da8b540b0
hex1a14792d94

112012635540 has 144 divisors (see below), whose sum is σ = 341498941056. Its totient is φ = 27419558400.

The previous prime is 112012635457. The next prime is 112012635557. The reversal of 112012635540 is 45536210211.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 112012635498 and 112012635507.

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 47 ways as a sum of consecutive naturals, for example, 1804825 + ... + 1865855.

It is an arithmetic number, because the mean of its divisors is an integer number (2371520424).

Almost surely, 2112012635540 is an apocalyptic number.

112012635540 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 112012635540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170749470528).

112012635540 is an abundant number, since it is smaller than the sum of its proper divisors (229486305516).

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

112012635540 is a wasteful number, since it uses less digits than its factorization.

112012635540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61250 (or 61235 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 112012635540 its reverse (45536210211), we get a palindrome (157548845751).

The spelling of 112012635540 in words is "one hundred twelve billion, twelve million, six hundred thirty-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 181 195 260 338 362 390 507 543 676 724 780 845 905 1014 1086 1690 1810 2028 2172 2353 2535 2715 3380 3620 4706 5070 5430 7059 9412 10140 10860 11765 14118 23530 28236 30589 35295 47060 61031 61178 70590 91767 122062 122356 141180 152945 183093 183534 244124 305155 305890 366186 367068 458835 610310 611780 732372 793403 915465 917670 1220620 1586806 1830930 1835340 2380209 3173612 3661860 3967015 4760418 7934030 9520836 10314239 11046611 11901045 15868060 20628478 22093222 23802090 30942717 33139833 41256956 44186444 47604180 51571195 55233055 61885434 66279666 103142390 110466110 123770868 132559332 143605943 154713585 165699165 206284780 220932220 287211886 309427170 331398330 430817829 574423772 618854340 662796660 718029715 861635658 1436059430 1723271316 1866877259 2154089145 2872118860 3733754518 4308178290 5600631777 7467509036 8616356580 9334386295 11201263554 18668772590 22402527108 28003158885 37337545180 56006317770 112012635540