Search a number
-
+
210314042100 = 223252376315737
BaseRepresentation
bin1100001111011110110…
…0011001101011110100
3202002212010222022101200
43003313230121223310
511421210343321400
6240341131452500
721123530601411
oct3036754315364
9662763868350
10210314042100
1181214880738
12349158b7130
1316aa90b2a76
14a271c31108
15570dbb6b00
hex30f7b19af4

210314042100 has 108 divisors (see below), whose sum is σ = 677034482124. Its totient is φ = 54567959040.

The previous prime is 210314042089. The next prime is 210314042123. The reversal of 210314042100 is 1240413012.

210314042100 is a `hidden beast` number, since 2 + 103 + 140 + 421 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1112089104 + 209201952996 = 33348^2 + 457386^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3124569 + ... + 3191168.

Almost surely, 2210314042100 is an apocalyptic number.

210314042100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210314042100 is an abundant number, since it is smaller than the sum of its proper divisors (466720440024).

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

210314042100 is a wasteful number, since it uses less digits than its factorization.

210314042100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6315794 (or 6315784 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 210314042100 its reverse (1240413012), we get a palindrome (211554455112).

The spelling of 210314042100 in words is "two hundred ten billion, three hundred fourteen million, forty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 6315737 12631474 18947211 25262948 31578685 37894422 56841633 63157370 75788844 94736055 113683266 126314740 157893425 189472110 227366532 233682269 284208165 315786850 378944220 467364538 473680275 568416330 631573700 701046807 934729076 947360550 1136832660 1168411345 1402093614 1421040825 1894721100 2103140421 2336822690 2804187228 2842081650 3505234035 4206280842 4673645380 5684163300 5842056725 7010468070 8412561684 10515702105 11684113450 14020936140 17526170175 21031404210 23368226900 35052340350 42062808420 52578510525 70104680700 105157021050 210314042100