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1020110112200 = 235246164317207
BaseRepresentation
bin11101101100000110100…
…11010000010111001000
310121112002020010222021102
432312003103100113020
5113203141142042300
62100344312000532
7133462164612524
oct16660323202710
93545066128242
101020110112200
11363698622933
12145854990148
137527171790a
14375331d2d84
151b806ed30d5
hexed834d05c8

1020110112200 has 96 divisors (see below), whose sum is σ = 2380735748160. Its totient is φ = 406502073600.

The previous prime is 1020110112187. The next prime is 1020110112283. The reversal of 1020110112200 is 22110110201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59275997 + ... + 59293203.

It is an arithmetic number, because the mean of its divisors is an integer number (24799330710).

Almost surely, 21020110112200 is an apocalyptic number.

1020110112200 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 1020110112200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190367874080).

1020110112200 is an abundant number, since it is smaller than the sum of its proper divisors (1360625635960).

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

1020110112200 is a wasteful number, since it uses less digits than its factorization.

1020110112200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18327 (or 18318 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1020110112200 its reverse (22110110201), we get a palindrome (1042220222401).

The spelling of 1020110112200 in words is "one trillion, twenty billion, one hundred ten million, one hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 461 643 922 1286 1844 2305 2572 3215 3688 4610 5144 6430 9220 11525 12860 16075 17207 18440 23050 25720 32150 34414 46100 64300 68828 86035 92200 128600 137656 172070 296423 344140 430175 592846 688280 860350 1185692 1482115 1720700 2371384 2964230 3441400 5928460 7410575 7932427 11064101 11856920 14821150 15864854 22128202 29642300 31729708 39662135 44256404 55320505 59284600 63459416 79324270 88512808 110641010 158648540 198310675 221282020 276602525 317297080 396621350 442564040 553205050 793242700 1106410100 1586485400 2212820200 5100550561 10201101122 20402202244 25502752805 40804404488 51005505610 102011011220 127513764025 204022022440 255027528050 510055056100 1020110112200