Search a number
-
+
1122050124 = 2233132334747
BaseRepresentation
bin100001011100001…
…0010000001001100
32220012100001102000
41002320102001030
54244221100444
6303201232300
736543161106
oct10270220114
92805301360
101122050124
11526405958
12273932690
1314b6012b0
14a903c576
156878e469
hex42e1204c

1122050124 has 96 divisors (see below), whose sum is σ = 3269091840. Its totient is φ = 330225984.

The previous prime is 1122050113. The next prime is 1122050131. The reversal of 1122050124 is 4210502211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1122050097 and 1122050106.

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, 14919 + ... + 49665.

It is an arithmetic number, because the mean of its divisors is an integer number (34053040).

Almost surely, 21122050124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122050124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1634545920).

1122050124 is an abundant number, since it is smaller than the sum of its proper divisors (2147041716).

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

1122050124 is a wasteful number, since it uses less digits than its factorization.

1122050124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34796 (or 34788 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 1122050124 is about 33497.0166432774. The cubic root of 1122050124 is about 1039.1320803767.

Adding to 1122050124 its reverse (4210502211), we get a palindrome (5332552335).

The spelling of 1122050124 in words is "one billion, one hundred twenty-two million, fifty thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 23 26 27 36 39 46 52 54 69 78 92 108 117 138 156 207 234 276 299 351 414 468 598 621 702 828 897 1196 1242 1404 1794 2484 2691 3588 5382 8073 10764 16146 32292 34747 69494 104241 138988 208482 312723 416964 451711 625446 799181 903422 938169 1250892 1355133 1598362 1806844 1876338 2397543 2710266 3196724 3752676 4065399 4795086 5420532 7192629 8130798 9590172 10389353 12196197 14385258 16261596 20778706 21577887 24392394 28770516 31168059 41557412 43155774 48784788 62336118 86311548 93504177 124672236 187008354 280512531 374016708 561025062 1122050124