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7130021000 = 2353171972129
BaseRepresentation
bin1101010001111101…
…10111110010001000
3200101220101121001212
412220332313302020
5104100241133000
63135301032252
7341455115144
oct65076676210
920356347055
107130021000
113029790343
12146b9b5688
1389822b14b
144b8d24224
152bae4dc35
hex1a8fb7c88

7130021000 has 128 divisors (see below), whose sum is σ = 17763688800. Its totient is φ = 2669363200.

The previous prime is 7130020969. The next prime is 7130021011. The reversal of 7130021000 is 1200317.

It can be written as a sum of positive squares in 16 ways, for example, as 114618436 + 7015402564 = 10706^2 + 83758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3347936 + ... + 3350064.

Almost surely, 27130021000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7130021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8881844400).

7130021000 is an abundant number, since it is smaller than the sum of its proper divisors (10633667800).

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

7130021000 is a wasteful number, since it uses less digits than its factorization.

7130021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 14.

The square root of 7130021000 is about 84439.4516798872. The cubic root of 7130021000 is about 1924.7024670863.

Adding to 7130021000 its reverse (1200317), we get a palindrome (7131221317).

The spelling of 7130021000 in words is "seven billion, one hundred thirty million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 170 197 200 250 340 394 425 500 680 788 850 985 1000 1576 1700 1970 2125 2129 3349 3400 3940 4250 4258 4925 6698 7880 8500 8516 9850 10645 13396 16745 17000 17032 19700 21290 24625 26792 33490 36193 39400 42580 49250 53225 66980 72386 83725 85160 98500 106450 133960 144772 167450 180965 197000 212900 266125 289544 334900 361930 418625 419413 425800 532250 669800 723860 837250 838826 904825 1064500 1447720 1674500 1677652 1809650 2097065 2129000 3349000 3355304 3619300 4194130 4524125 7130021 7238600 8388260 9048250 10485325 14260042 16776520 18096500 20970650 28520084 35650105 36193000 41941300 52426625 57040168 71300210 83882600 104853250 142600420 178250525 209706500 285200840 356501050 419413000 713002100 891252625 1426004200 1782505250 3565010500 7130021000