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11302220320 = 255537916871
BaseRepresentation
bin10101000011010101…
…00011001000100000
31002011200010021120121
422201222203020200
5141121332022240
65105301450024
7550036200436
oct124152431040
932150107517
1011302220320
11487a899456
122235110914
1310b1721c41
147930a0d56
1546238b04a
hex2a1aa3220

11302220320 has 96 divisors (see below), whose sum is σ = 27551301120. Its totient is φ = 4379182080.

The previous prime is 11302220317. The next prime is 11302220353. The reversal of 11302220320 is 2302220311.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11302220294 and 11302220303.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 661485 + ... + 678355.

It is an arithmetic number, because the mean of its divisors is an integer number (286992720).

Almost surely, 211302220320 is an apocalyptic number.

11302220320 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 11302220320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13775650560).

11302220320 is an abundant number, since it is smaller than the sum of its proper divisors (16249080800).

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

11302220320 is a wasteful number, since it uses less digits than its factorization.

11302220320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17018 (or 17010 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 11302220320 its reverse (2302220311), we get a palindrome (13604440631).

Subtracting from 11302220320 its reverse (2302220311), we obtain a palindrome (9000000009).

The spelling of 11302220320 in words is "eleven billion, three hundred two million, two hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 79 80 106 158 160 212 265 316 395 424 530 632 790 848 1060 1264 1580 1696 2120 2528 3160 4187 4240 6320 8374 8480 12640 16748 16871 20935 33496 33742 41870 66992 67484 83740 84355 133984 134968 167480 168710 269936 334960 337420 539872 669920 674840 894163 1332809 1349680 1788326 2665618 2699360 3576652 4470815 5331236 6664045 7153304 8941630 10662472 13328090 14306608 17883260 21324944 26656180 28613216 35766520 42649888 53312360 70638877 71533040 106624720 141277754 143066080 213249440 282555508 353194385 565111016 706388770 1130222032 1412777540 2260444064 2825555080 5651110160 11302220320