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1130200128 = 2634239479
BaseRepresentation
bin100001101011101…
…0111110001000000
32220202200010010000
41003113113301000
54303312401003
6304052040000
740002354051
oct10327276100
92822603100
101130200128
1152aa720a2
12276603000
131501c5a95
14aa160728
156934e1a3
hex435d7c40

1130200128 has 140 divisors (see below), whose sum is σ = 3496299840. Its totient is φ = 360315648.

The previous prime is 1130200121. The next prime is 1130200147. The reversal of 1130200128 is 8210020311.

It is a super-3 number, since 3×11302001283 (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 self number, because there is not a number n which added to its sum of digits gives 1130200128.

It is not an unprimeable number, because it can be changed into a prime (1130200121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114493 + ... + 123971.

Almost surely, 21130200128 is an apocalyptic number.

1130200128 is a gapful number since it is divisible by the number (18) 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 1130200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1748149920).

1130200128 is an abundant number, since it is smaller than the sum of its proper divisors (2366099712).

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

1130200128 is an equidigital number, since it uses as much as digits as its factorization.

1130200128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9526 (or 9507 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1130200128 is about 33618.4492206288. The cubic root of 1130200128 is about 1041.6419231783.

Adding to 1130200128 its reverse (8210020311), we get a palindrome (9340220439).

The spelling of 1130200128 in words is "one billion, one hundred thirty million, two hundred thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 64 69 72 81 92 96 108 138 144 162 184 192 207 216 276 288 324 368 414 432 552 576 621 648 736 828 864 1104 1242 1296 1472 1656 1728 1863 2208 2484 2592 3312 3726 4416 4968 5184 6624 7452 9479 9936 13248 14904 18958 19872 28437 29808 37916 39744 56874 59616 75832 85311 113748 119232 151664 170622 218017 227496 255933 303328 341244 436034 454992 511866 606656 654051 682488 767799 872068 909984 1023732 1308102 1364976 1535598 1744136 1819968 1962153 2047464 2616204 2729952 3071196 3488272 3924306 4094928 5232408 5459904 5886459 6142392 6976544 7848612 8189856 10464816 11772918 12284784 13953088 15697224 16379712 17659377 20929632 23545836 24569568 31394448 35318754 41859264 47091672 49139136 62788896 70637508 94183344 125577792 141275016 188366688 282550032 376733376 565100064 1130200128