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112122210420 = 22345116291931
BaseRepresentation
bin110100001101100000…
…0010010100001110100
3101201101222201102210000
41220123000102201310
53314111241213140
6123301440031300
711046331030563
oct1503300224164
9351358642700
10112122210420
1143607079220
1219891602530
13a75b09330c
1455d8db1bda
152db359aa30
hex1a1b012874

112122210420 has 120 divisors (see below), whose sum is σ = 383707181088. Its totient is φ = 27181137600.

The previous prime is 112122210401. The next prime is 112122210439. The reversal of 112122210420 is 24012221211.

112122210420 is a `hidden beast` number, since 1 + 1 + 21 + 2 + 221 + 0 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (112122210401) and next prime (112122210439).

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

It is a junction number, because it is equal to n+sod(n) for n = 112122210393 and 112122210402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3128146 + ... + 3163785.

Almost surely, 2112122210420 is an apocalyptic number.

112122210420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112122210420 is an abundant number, since it is smaller than the sum of its proper divisors (271584970668).

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

112122210420 is a wasteful number, since it uses less digits than its factorization.

112122210420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6291963 (or 6291952 counting only the distinct ones).

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

Adding to 112122210420 its reverse (24012221211), we get a palindrome (136134431631).

The spelling of 112122210420 in words is "one hundred twelve billion, one hundred twenty-two million, two hundred ten thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 8910 17820 6291931 12583862 18875793 25167724 31459655 37751586 56627379 62919310 69211241 75503172 94378965 113254758 125838620 138422482 169882137 188757930 207633723 226509516 276844964 283136895 339764274 346056205 377515860 415267446 509646411 566273790 622901169 679528548 692112410 830534892 849410685 1019292822 1038168615 1132547580 1245802338 1384224820 1698821370 1868703507 2038585644 2076337230 2491604676 2548232055 3114505845 3397642740 3737407014 4152674460 5096464110 5606110521 6229011690 7474814028 9343517535 10192928220 11212221042 12458023380 18687035070 22424442084 28030552605 37374070140 56061105210 112122210420