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1070109000 = 233253118901
BaseRepresentation
bin111111110010001…
…001000101001000
32202120121011120200
4333302021011020
54142421442000
6254104052200
735342530212
oct7762110510
92676534520
101070109000
114aa059804
1225a464060
131409164bc
14a219b5b2
1563e2e500
hex3fc89148

1070109000 has 96 divisors (see below), whose sum is σ = 3616998840. Its totient is φ = 285360000.

The previous prime is 1070108989. The next prime is 1070109011. The reversal of 1070109000 is 9010701.

It is an interprime number because it is at equal distance from previous prime (1070108989) and next prime (1070109011).

It can be written as a sum of positive squares in 4 ways, for example, as 256832676 + 813276324 = 16026^2 + 28518^2 .

It is a super-2 number, since 2×10701090002 = 2290266543762000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50451 + ... + 68450.

Almost surely, 21070109000 is an apocalyptic number.

1070109000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1070109000 is an abundant number, since it is smaller than the sum of its proper divisors (2546889840).

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

1070109000 is a wasteful number, since it uses less digits than its factorization.

1070109000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118928 (or 118911 counting only the distinct ones).

The product of its (nonzero) digits is 63, while the sum is 18.

The square root of 1070109000 is about 32712.5205387784. The cubic root of 1070109000 is about 1022.8438514920.

Adding to 1070109000 its reverse (9010701), we get a palindrome (1079119701).

The spelling of 1070109000 in words is "one billion, seventy million, one hundred nine thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 9000 118901 237802 356703 475604 594505 713406 951208 1070109 1189010 1426812 1783515 2140218 2378020 2853624 2972525 3567030 4280436 4756040 5350545 5945050 7134060 8560872 8917575 10701090 11890100 14268120 14862625 17835150 21402180 23780200 26752725 29725250 35670300 42804360 44587875 53505450 59450500 71340600 89175750 107010900 118901000 133763625 178351500 214021800 267527250 356703000 535054500 1070109000