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1102213420 = 2257111076689
BaseRepresentation
bin100000110110010…
…0111000100101100
32211211000020120021
41001230213010230
54224131312140
6301212131524
736212442130
oct10154470454
92754006507
101102213420
11516197290
12269166ba4
131474772b9
14a65573c0
1566b71b4a
hex41b2712c

1102213420 has 96 divisors (see below), whose sum is σ = 2913200640. Its totient is φ = 340285440.

The previous prime is 1102213417. The next prime is 1102213423. The reversal of 1102213420 is 243122011.

It is an interprime number because it is at equal distance from previous prime (1102213417) and next prime (1102213423).

It is a junction number, because it is equal to n+sod(n) for n = 1102213394 and 1102213403.

It is not an unprimeable number, because it can be changed into a prime (1102213423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 161436 + ... + 168124.

It is an arithmetic number, because the mean of its divisors is an integer number (30345840).

Almost surely, 21102213420 is an apocalyptic number.

1102213420 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 1102213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456600320).

1102213420 is an abundant number, since it is smaller than the sum of its proper divisors (1810987220).

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

1102213420 is a wasteful number, since it uses less digits than its factorization.

1102213420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6823 (or 6821 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1102213420 is about 33199.5996963819. The cubic root of 1102213420 is about 1032.9720362521.

Adding to 1102213420 its reverse (243122011), we get a palindrome (1345335431).

It can be divided in two parts, 11022 and 13420, that added together give a palindrome (24442).

The spelling of 1102213420 in words is "one billion, one hundred two million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 107 110 140 154 214 220 308 385 428 535 749 770 1070 1177 1498 1540 2140 2354 2996 3745 4708 5885 6689 7490 8239 11770 13378 14980 16478 23540 26756 32956 33445 41195 46823 66890 73579 82390 93646 133780 147158 164780 187292 234115 294316 367895 468230 515053 715723 735790 936460 1030106 1431446 1471580 2060212 2575265 2862892 3578615 5010061 5150530 7157230 7872953 10020122 10301060 14314460 15745906 20040244 25050305 31491812 39364765 50100610 55110671 78729530 100201220 110221342 157459060 220442684 275553355 551106710 1102213420