Search a number
-
+
120022222211010 = 23257263209723803
BaseRepresentation
bin11011010010100011011001…
…111010111000011111000010
3120201222000100000210022121200
4123102203121322320133002
5111212421002341223020
61103133240412002030
734165214360645310
oct3322433172703702
9521860300708550
10120022222211010
1135274158513259
121156513b460316
1351c807c311862
14218d16c5350b0
15dd20c0529590
hex6d28d9eb87c2

120022222211010 has 96 divisors (see below), whose sum is σ = 356639307972480. Its totient is φ = 27433508661504.

The previous prime is 120022222210973. The next prime is 120022222211093. The reversal of 120022222211010 is 10112222220021.

It is a happy number.

120022222211010 is a `hidden beast` number, since 1 + 200 + 2 + 222 + 221 + 10 + 10 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165459769 + ... + 166183571.

It is an arithmetic number, because the mean of its divisors is an integer number (3714992791380).

Almost surely, 2120022222211010 is an apocalyptic number.

120022222211010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

120022222211010 is an abundant number, since it is smaller than the sum of its proper divisors (236617085761470).

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

120022222211010 is a wasteful number, since it uses less digits than its factorization.

120022222211010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 987032 (or 987029 counting only the distinct ones).

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

Adding to 120022222211010 its reverse (10112222220021), we get a palindrome (130134444431031).

The spelling of 120022222211010 in words is "one hundred twenty trillion, twenty-two billion, two hundred twenty-two million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 263209 526418 723803 789627 1316045 1447606 1579254 1842463 2171409 2368881 2632090 3619015 3684926 3948135 4342818 4737762 5066621 5527389 6514227 7238030 7896270 9212315 10133242 10857045 11054778 11844405 13028454 15199863 16582167 18424630 21714090 23688810 25333105 27636945 30399726 32571135 33164334 45599589 50666210 55273890 65142270 75999315 82910835 91199178 151998630 165821670 227997945 455995890 190511463827 381022927654 571534391481 952557319135 1143068782962 1333580246789 1714603174443 1905114638270 2667160493578 2857671957405 3429206348886 4000740740367 5715343914810 6667901233945 8001481480734 8573015872215 12002222221101 13335802467890 17146031744430 20003703701835 24004444442202 40007407403670 60011111105505 120022222211010