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1102010220 = 2232537337491
BaseRepresentation
bin100000110101111…
…0101011101101100
32211210121220211100
41001223311131230
54224103311340
6301203523100
736210634533
oct10153653554
92753556740
101102010220
11516068653
12269089490
1314740596c
14a650331a
1566b31830
hex41af576c

1102010220 has 144 divisors (see below), whose sum is σ = 3450309408. Its totient is φ = 284497920.

The previous prime is 1102010213. The next prime is 1102010249. The reversal of 1102010220 is 220102011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 2244175 + ... + 2244665.

It is an arithmetic number, because the mean of its divisors is an integer number (23960482).

Almost surely, 21102010220 is an apocalyptic number.

1102010220 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 1102010220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1725154704).

1102010220 is an abundant number, since it is smaller than the sum of its proper divisors (2348299188).

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

1102010220 is a wasteful number, since it uses less digits than its factorization.

1102010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 1102010220 is about 33196.5392774608. The cubic root of 1102010220 is about 1032.9085540462.

Adding to 1102010220 its reverse (220102011), we get a palindrome (1322112231).

The spelling of 1102010220 in words is "one billion, one hundred two million, ten thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 337 370 444 491 555 666 674 740 982 1011 1110 1332 1348 1473 1665 1685 1964 2022 2220 2455 2946 3033 3330 3370 4044 4419 4910 5055 5892 6066 6660 6740 7365 8838 9820 10110 12132 12469 14730 15165 17676 18167 20220 22095 24938 29460 30330 36334 37407 44190 49876 54501 60660 62345 72668 74814 88380 90835 109002 112221 124690 149628 163503 165467 181670 187035 218004 224442 249380 272505 327006 330934 363340 374070 448884 496401 545010 561105 654012 661868 748140 817515 827335 992802 1090020 1122210 1489203 1635030 1654670 1985604 2244420 2482005 2978406 3270060 3309340 4964010 5956812 6122279 7446015 9928020 12244558 14892030 18366837 24489116 29784060 30611395 36733674 55100511 61222790 73467348 91834185 110201022 122445580 183668370 220402044 275502555 367336740 551005110 1102010220