Search a number
-
+
111424121120 = 25513101530389
BaseRepresentation
bin110011111000101100…
…1010010100100100000
3101122121100010211021202
41213301121102210200
53311144033333440
6123104301340332
711023123255034
oct1476131224440
9348540124252
10111424121120
1143289014414
12197178676a8
13a679572820
1455703b41c4
152d72154615
hex19f1652920

111424121120 has 96 divisors (see below), whose sum is σ = 286296035760. Its totient is φ = 40733798400.

The previous prime is 111424121111. The next prime is 111424121143. The reversal of 111424121120 is 21121424111.

It can be written as a sum of positive squares in 8 ways, for example, as 66104523664 + 45319597456 = 257108^2 + 212884^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 111424121092 and 111424121101.

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, 55115 + ... + 475274.

Almost surely, 2111424121120 is an apocalyptic number.

111424121120 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 111424121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143148017880).

111424121120 is an abundant number, since it is smaller than the sum of its proper divisors (174871914640).

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

111424121120 is a wasteful number, since it uses less digits than its factorization.

111424121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530518 (or 530510 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 111424121120 its reverse (21121424111), we get a palindrome (132545545231).

The spelling of 111424121120 in words is "one hundred eleven billion, four hundred twenty-four million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 101 104 130 160 202 208 260 404 416 505 520 808 1010 1040 1313 1616 2020 2080 2626 3232 4040 5252 6565 8080 10504 13130 16160 21008 26260 42016 52520 105040 210080 530389 1060778 2121556 2651945 4243112 5303890 6895057 8486224 10607780 13790114 16972448 21215560 27580228 34475285 42431120 53569289 55160456 68950570 84862240 107138578 110320912 137901140 214277156 220641824 267846445 275802280 428554312 535692890 551604560 696400757 857108624 1071385780 1103209120 1392801514 1714217248 2142771560 2785603028 3482003785 4285543120 5571206056 6964007570 8571086240 11142412112 13928015140 22284824224 27856030280 55712060560 111424121120