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1054120130 = 2572329107211
BaseRepresentation
bin111110110101001…
…001100011000010
32201110111211222022
4332311021203002
54124323321010
6252333241442
735056605350
oct7665114302
92643454868
101054120130
114a1029068
12255033282
1313a508a2b
149ddd87d0
1562821d55
hex3ed498c2

1054120130 has 128 divisors (see below), whose sum is σ = 2373857280. Its totient is φ = 329091840.

The previous prime is 1054120117. The next prime is 1054120141. The reversal of 1054120130 is 310214501.

1054120130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10541201302 = 2222338496942433800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1054120099 and 1054120108.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4995725 + ... + 4995935.

It is an arithmetic number, because the mean of its divisors is an integer number (18545760).

Almost surely, 21054120130 is an apocalyptic number.

1054120130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1054120130 is an abundant number, since it is smaller than the sum of its proper divisors (1319737150).

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

1054120130 is a wasteful number, since it uses less digits than its factorization.

1054120130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 1054120130 is about 32467.2162342262. The cubic root of 1054120130 is about 1017.7240455869.

Adding to 1054120130 its reverse (310214501), we get a palindrome (1364334631).

The spelling of 1054120130 in words is "one billion, fifty-four million, one hundred twenty thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 23 29 35 46 58 70 107 115 145 161 203 211 214 230 290 322 406 422 535 667 749 805 1015 1055 1070 1334 1477 1498 1610 2030 2110 2461 2954 3103 3335 3745 4669 4853 4922 6119 6206 6670 7385 7490 9338 9706 12238 12305 14770 15515 17227 21721 22577 23345 24265 24610 30595 31030 33971 34454 42833 43442 45154 46690 48530 61190 67942 71369 85666 86135 108605 112885 140737 142738 158039 169855 172270 214165 217210 225770 281474 316078 339710 356845 428330 499583 519271 654733 703685 713690 790195 985159 999166 1038542 1309466 1407370 1580390 1970318 2497915 2596355 3273665 3634897 4583131 4925795 4995830 5192710 6547330 7269794 9166262 9851590 15058859 18174485 22915655 30117718 36348970 45831310 75294295 105412013 150588590 210824026 527060065 1054120130