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1102220000020 = 2251372331726481
BaseRepresentation
bin10000000010100001011…
…011100111101100010100
310220101000121101110020201
4100002201123213230110
5121024321310000040
62202204115510244
7142430016262546
oct20024133475424
93811017343221
101102220000020
113954a3500957
1215974b2b8384
137cc289c0059
143b4c226d696
151da1081da9a
hex100a16e7b14

1102220000020 has 48 divisors (see below), whose sum is σ = 2341565383248. Its totient is φ = 435791175680.

The previous prime is 1102219999999. The next prime is 1102220000023. The reversal of 1102220000020 is 200000222011.

It can be written as a sum of positive squares in 8 ways, for example, as 4075290244 + 1098144709776 = 63838^2 + 1047924^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1102219999961 and 1102220000006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1102220000023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224821 + ... + 1501660.

It is an arithmetic number, because the mean of its divisors is an integer number (48782612151).

Almost surely, 21102220000020 is an apocalyptic number.

1102220000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102220000020 is an abundant number, since it is smaller than the sum of its proper divisors (1239345383228).

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

1102220000020 is a wasteful number, since it uses less digits than its factorization.

1102220000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726860 (or 1726858 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1102220000020 its reverse (200000222011), we get a palindrome (1302220222031).

The spelling of 1102220000020 in words is "one trillion, one hundred two billion, two hundred twenty million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 137 233 274 466 548 685 932 1165 1370 2330 2740 4660 31921 63842 127684 159605 319210 638420 1726481 3452962 6905924 8632405 17264810 34529620 236527897 402270073 473055794 804540146 946111588 1182639485 1609080292 2011350365 2365278970 4022700730 4730557940 8045401460 55111000001 110222000002 220444000004 275555000005 551110000010 1102220000020