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11101130320 = 2457223123127
BaseRepresentation
bin10100101011010110…
…11100111001010000
31001122122201211221211
422111223130321100
5140213342132240
65033315425504
7542045023300
oct122553347120
931578654854
1011101130320
114787331575
1221998b5294
13107bb75787
147744b7600
1544e8b8bea
hex295adce50

11101130320 has 120 divisors (see below), whose sum is σ = 31329673344. Its totient is φ = 3640589568.

The previous prime is 11101130263. The next prime is 11101130351. The reversal of 11101130320 is 2303110111.

11101130320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11101130320.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 28597 + ... + 151723.

Almost surely, 211101130320 is an apocalyptic number.

11101130320 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 11101130320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15664836672).

11101130320 is an abundant number, since it is smaller than the sum of its proper divisors (20228543024).

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

11101130320 is a wasteful number, since it uses less digits than its factorization.

11101130320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123177 (or 123164 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11101130320 its reverse (2303110111), we get a palindrome (13404240431).

The spelling of 11101130320 in words is "eleven billion, one hundred one million, one hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 49 56 70 80 92 98 112 115 140 161 184 196 230 245 280 322 368 392 460 490 560 644 784 805 920 980 1127 1288 1610 1840 1960 2254 2576 3220 3920 4508 5635 6440 9016 11270 12880 18032 22540 45080 90160 123127 246254 492508 615635 861889 985016 1231270 1723778 1970032 2462540 2831921 3447556 4309445 4925080 5663842 6033223 6895112 8618890 9850160 11327684 12066446 13790224 14159605 17237780 19823447 22655368 24132892 28319210 30166115 34475560 39646894 45310736 48265784 56638420 60332230 68951120 79293788 96531568 99117235 113276840 120664460 138764129 158587576 198234470 226553680 241328920 277528258 317175152 396468940 482657840 555056516 693820645 792937880 1110113032 1387641290 1585875760 2220226064 2775282580 5550565160 11101130320