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112012220100 = 223521137917381
BaseRepresentation
bin110100001010001110…
…0101101011011000100
3101201010022202100102110
41220110130231123010
53313400112020400
6123242510341020
711043524106234
oct1502434553304
9351108670373
10112012220100
114355aa83930
12198607ba770
13a7413624a1
1455c853dcc4
152da8ac0e50
hex1a1472d6c4

112012220100 has 144 divisors (see below), whose sum is σ = 363107134656. Its totient is φ = 26420544000.

The previous prime is 112012220081. The next prime is 112012220101. The reversal of 112012220100 is 1022210211.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (112012220101) by changing a digit.

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, 336591 + ... + 580790.

It is an arithmetic number, because the mean of its divisors is an integer number (2521577324).

Almost surely, 2112012220100 is an apocalyptic number.

112012220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112012220100 is an abundant number, since it is smaller than the sum of its proper divisors (251094914556).

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

112012220100 is a wasteful number, since it uses less digits than its factorization.

112012220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917446 (or 917439 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 112012220100 its reverse (1022210211), we get a palindrome (113034430311).

The spelling of 112012220100 in words is "one hundred twelve billion, twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 185 220 222 275 300 330 370 407 444 550 555 660 740 814 825 925 1100 1110 1221 1628 1650 1850 2035 2220 2442 2775 3300 3700 4070 4884 5550 6105 8140 10175 11100 12210 20350 24420 30525 40700 61050 122100 917381 1834762 2752143 3669524 4586905 5504286 9173810 10091191 11008572 13760715 18347620 20182382 22934525 27521430 30273573 33943097 40364764 45869050 50455955 55042860 60547146 67886194 68803575 91738100 100911910 101829291 121094292 135772388 137607150 151367865 169715485 201823820 203658582 252279775 275214300 302735730 339430970 373374067 407317164 504559550 509146455 605471460 678861940 746748134 756839325 848577425 1009119100 1018292910 1120122201 1493496268 1513678650 1697154850 1866870335 2036585820 2240244402 2545732275 3027357300 3394309700 3733740670 4480488804 5091464550 5600611005 7467481340 9334351675 10182929100 11201222010 18668703350 22402444020 28003055025 37337406700 56006110050 112012220100