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1130004434130 = 2351113220261869
BaseRepresentation
bin10000011100011001100…
…000110100110011010010
311000000201221200221120220
4100130121200310303102
5122003222113343010
62223041124413510
7144432364131615
oct20343140646322
94000657627526
101130004434130
113a62610534a0
12163004247296
1382736063700
143c99a34817c
151e5d9ba3970
hex10719834cd2

1130004434130 has 96 divisors (see below), whose sum is σ = 3203644789440. Its totient is φ = 252868112640.

The previous prime is 1130004434129. The next prime is 1130004434131. The reversal of 1130004434130 is 314344000311.

It is an interprime number because it is at equal distance from previous prime (1130004434129) and next prime (1130004434131).

It is a self number, because there is not a number n which added to its sum of digits gives 1130004434130.

It is not an unprimeable number, because it can be changed into a prime (1130004434131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10075165 + ... + 10186704.

It is an arithmetic number, because the mean of its divisors is an integer number (33371299890).

Almost surely, 21130004434130 is an apocalyptic number.

1130004434130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1130004434130 is an abundant number, since it is smaller than the sum of its proper divisors (2073640355310).

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

1130004434130 is a wasteful number, since it uses less digits than its factorization.

1130004434130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20261916 (or 20261903 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1130004434130 its reverse (314344000311), we get a palindrome (1444348434441).

The spelling of 1130004434130 in words is "one trillion, one hundred thirty billion, four million, four hundred thirty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 169 195 286 330 338 390 429 507 715 845 858 1014 1430 1690 1859 2145 2535 3718 4290 5070 5577 9295 11154 18590 27885 55770 20261869 40523738 60785607 101309345 121571214 202618690 222880559 263404297 303928035 445761118 526808594 607856070 668641677 790212891 1114402795 1317021485 1337283354 1580425782 2228805590 2634042970 2897447267 3343208385 3424255861 3951064455 5794894534 6686416770 6848511722 7902128910 8692341801 10272767583 14487236335 17121279305 17384683602 20545535166 28974472670 34242558610 37666814471 43461709005 51363837915 75333628942 86923418010 102727675830 113000443413 188334072355 226000886826 376668144710 565002217065 1130004434130