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1120130004 = 223724197479
BaseRepresentation
bin100001011000011…
…1101001111010100
32220001201111111110
41002300331033110
54243223130004
6303052135020
736520643100
oct10260751724
92801644443
101120130004
11525314284
12273167470
1314b0ab326
14a8a9c900
1568510589
hex42c3d3d4

1120130004 has 144 divisors (see below), whose sum is σ = 3153185280. Its totient is φ = 308367360.

The previous prime is 1120129993. The next prime is 1120130023. The reversal of 1120130004 is 4000310211.

It is a happy number.

It is a super-2 number, since 2×11201300042 = 2509382451722080032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2338237 + ... + 2338715.

It is an arithmetic number, because the mean of its divisors is an integer number (21897120).

Almost surely, 21120130004 is an apocalyptic number.

1120130004 is a gapful number since it is divisible by the number (14) 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 1120130004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576592640).

1120130004 is an abundant number, since it is smaller than the sum of its proper divisors (2033055276).

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

1120130004 is a wasteful number, since it uses less digits than its factorization.

1120130004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 1120130004 is about 33468.3433112546. The cubic root of 1120130004 is about 1038.5390000658.

Adding to 1120130004 its reverse (4000310211), we get a palindrome (5120440215).

The spelling of 1120130004 in words is "one billion, one hundred twenty million, one hundred thirty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 97 98 123 147 164 194 196 246 287 291 294 388 479 492 574 582 588 679 861 958 1148 1164 1358 1437 1722 1916 2009 2037 2716 2874 3353 3444 3977 4018 4074 4753 5748 6027 6706 7954 8036 8148 9506 10059 11931 12054 13412 14259 15908 19012 19639 20118 23471 23862 24108 27839 28518 39278 40236 46463 46942 47724 55678 57036 58917 70413 78556 83517 92926 93884 111356 117834 137473 139389 140826 167034 185852 194873 235668 274946 278778 281652 325241 334068 389746 412419 549892 557556 584619 650482 779492 824838 962311 975723 1169238 1300964 1649676 1904983 1924622 1951446 2276687 2338476 2886933 3809966 3849244 3902892 4553374 5714949 5773866 6830061 7619932 9106748 11429898 11547732 13334881 13660122 22859796 26669762 27320244 40004643 53339524 80009286 93344167 160018572 186688334 280032501 373376668 560065002 1120130004