Search a number
-
+
112223073160 = 235111514313919
BaseRepresentation
bin110100010000100000…
…1000011001110001000
3101201200000111210110001
41220201001003032020
53314313101320120
6123315441532344
711051664245212
oct1504101031610
9351600453401
10112223073160
1143658aa9960
12198bb3440b4
13a775c49703
1456085495b2
152dbc370e0a
hex1a21043388

112223073160 has 128 divisors (see below), whose sum is σ = 277995110400. Its totient is φ = 40433760000.

The previous prime is 112223073107. The next prime is 112223073181. The reversal of 112223073160 is 61370322211.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28633681 + ... + 28637599.

It is an arithmetic number, because the mean of its divisors is an integer number (2171836800).

Almost surely, 2112223073160 is an apocalyptic number.

112223073160 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 112223073160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138997555200).

112223073160 is an abundant number, since it is smaller than the sum of its proper divisors (165772037240).

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

112223073160 is a wasteful number, since it uses less digits than its factorization.

112223073160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4523 (or 4519 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

Adding to 112223073160 its reverse (61370322211), we get a palindrome (173593395371).

The spelling of 112223073160 in words is "one hundred twelve billion, two hundred twenty-three million, seventy-three thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 151 220 302 431 440 604 755 862 1208 1510 1661 1724 2155 3020 3322 3448 3919 4310 4741 6040 6644 7838 8305 8620 9482 13288 15676 16610 17240 18964 19595 23705 31352 33220 37928 39190 43109 47410 65081 66440 78380 86218 94820 130162 156760 172436 189640 215545 260324 325405 344872 431090 520648 591769 650810 715891 862180 1183538 1301620 1431782 1689089 1724360 2367076 2603240 2863564 2958845 3378178 3579455 4734152 5727128 5917690 6509459 6756356 7158910 8445445 11835380 13018918 13512712 14317820 16890890 18579979 23670760 26037836 28635640 32547295 33781780 37159958 52075672 65094590 67563560 74319916 92899895 130189180 148639832 185799790 255052439 260378360 371599580 510104878 743199160 1020209756 1275262195 2040419512 2550524390 2805576829 5101048780 5611153658 10202097560 11222307316 14027884145 22444614632 28055768290 56111536580 112223073160