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112210020 = 223251379607
BaseRepresentation
bin1101011000000…
…11000001100100
321211010212012200
412230003001210
5212211210040
615045014500
72531524626
oct654030144
9254125180
10112210020
115838105a
12316b4430
131a32a280
1410c8cc16
159cb7630
hex6b03064

112210020 has 144 divisors (see below), whose sum is σ = 371804160. Its totient is φ = 27226368.

The previous prime is 112210003. The next prime is 112210027. The reversal of 112210020 is 20012211.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 112209984 and 112210011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112210027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184557 + ... + 185163.

Almost surely, 2112210020 is an apocalyptic number.

112210020 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 112210020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185902080).

112210020 is an abundant number, since it is smaller than the sum of its proper divisors (259594140).

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

112210020 is a wasteful number, since it uses less digits than its factorization.

112210020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 714 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 112210020 is about 10592.9231093216. The cubic root of 112210020 is about 482.3295611780.

Adding to 112210020 its reverse (20012211), we get a palindrome (132222231).

The spelling of 112210020 in words is "one hundred twelve million, two hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 79 90 117 130 156 158 180 195 234 237 260 316 390 395 468 474 585 607 711 780 790 948 1027 1170 1185 1214 1422 1580 1821 2054 2340 2370 2428 2844 3035 3081 3555 3642 4108 4740 5135 5463 6070 6162 7110 7284 7891 9105 9243 10270 10926 12140 12324 14220 15405 15782 18210 18486 20540 21852 23673 27315 30810 31564 36420 36972 39455 46215 47346 47953 54630 61620 71019 78910 92430 94692 95906 109260 118365 142038 143859 157820 184860 191812 236730 239765 284076 287718 355095 431577 473460 479530 575436 623389 710190 719295 863154 959060 1246778 1420380 1438590 1726308 1870167 2157885 2493556 2877180 3116945 3740334 4315770 5610501 6233890 7480668 8631540 9350835 11221002 12467780 18701670 22442004 28052505 37403340 56105010 112210020