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1123211034 = 232113125903
BaseRepresentation
bin100001011110010…
…1101011100011010
32220021112000212200
41002330231130122
54300020223114
6303242151030
736556064511
oct10274553432
92807460780
101123211034
11527029090
122741b2476
1314b91981a
14a9261678
156891d409
hex42f2d71a

1123211034 has 72 divisors (see below), whose sum is σ = 2743730496. Its totient is φ = 329331600.

The previous prime is 1123210969. The next prime is 1123211039. The reversal of 1123211034 is 4301123211.

1123211034 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×11232110343 (a number of 28 digits) contains 333 as substring.

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 = 1123210998 and 1123211016.

It is not an unprimeable number, because it can be changed into a prime (1123211039) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 187327 + ... + 193229.

It is an arithmetic number, because the mean of its divisors is an integer number (38107368).

Almost surely, 21123211034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123211034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1371865248).

1123211034 is an abundant number, since it is smaller than the sum of its proper divisors (1620519462).

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

1123211034 is a wasteful number, since it uses less digits than its factorization.

1123211034 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5984 (or 5950 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 1123211034 is about 33514.3407215478. The cubic root of 1123211034 is about 1039.4903302734.

Adding to 1123211034 its reverse (4301123211), we get a palindrome (5424334245).

The spelling of 1123211034 in words is "one billion, one hundred twenty-three million, two hundred eleven thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 93 99 186 198 279 341 558 682 961 1023 1922 2046 2883 3069 5766 5903 6138 8649 10571 11806 17298 17709 21142 31713 35418 53127 63426 64933 95139 106254 129866 182993 190278 194799 365986 389598 548979 584397 1097958 1168794 1646937 2012923 3293874 4025846 5672783 6038769 11345566 12077538 17018349 18116307 34036698 36232614 51055047 62400613 102110094 124801226 187201839 374403678 561605517 1123211034