Search a number
-
+
11320156228360 = 23571429162717389
BaseRepresentation
bin1010010010111010110111…
…1001000000101100001000
31111002012022011002012022211
42210232231321000230020
52440432134443301420
640024224042354504
72245566011213110
oct244565571005410
944065264065284
1011320156228360
113674940090981
121329b094bba34
136416420ca3b5
142b1c8162a040
151496e3693e5a
hexa4bade40b08

11320156228360 has 128 divisors (see below), whose sum is σ = 29148923232000. Its totient is φ = 3875873670144.

The previous prime is 11320156228319. The next prime is 11320156228361. The reversal of 11320156228360 is 6382265102311.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (11320156228361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 650986546 + ... + 651003934.

It is an arithmetic number, because the mean of its divisors is an integer number (227725962750).

Almost surely, 211320156228360 is an apocalyptic number.

11320156228360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11320156228360 is an abundant number, since it is smaller than the sum of its proper divisors (17828767003640).

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

11320156228360 is a wasteful number, since it uses less digits than its factorization.

11320156228360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20463 (or 20459 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

The spelling of 11320156228360 in words is "eleven trillion, three hundred twenty billion, one hundred fifty-six million, two hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 1429 1627 2858 3254 5716 6508 7145 8135 10003 11389 11432 13016 14290 16270 17389 20006 22778 28580 32540 34778 40012 45556 50015 56945 57160 65080 69556 80024 86945 91112 100030 113890 121723 139112 173890 200060 227780 243446 347780 400120 455560 486892 608615 695560 973784 1217230 2324983 2434460 4649966 4868920 9299932 11624915 16274881 18599864 23249830 24848881 28291903 32549762 46499660 49697762 56583806 65099524 81374405 92999320 99395524 113167612 124244405 130199048 141459515 162748810 173942167 198043321 198791048 226335224 248488810 282919030 325497620 347884334 396086642 496977620 565838060 650995240 695768668 792173284 869710835 990216605 993955240 1131676120 1391537336 1584346568 1739421670 1980433210 3478843340 3960866420 6957686680 7921732840 40429129387 80858258774 161716517548 202145646935 283003905709 323433035096 404291293870 566007811418 808582587740 1132015622836 1415019528545 1617165175480 2264031245672 2830039057090 5660078114180 11320156228360