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10922522000 = 245313420097
BaseRepresentation
bin10100010110000100…
…00111010110010000
31001012012122121101212
422023002013112100
5134332131201000
65003455315252
7534445622315
oct121302072620
931165577355
1010922522000
1146a552a495
122149b1bb28
131050b6b190
147588a2d0c
1543dd87c35
hex28b087590

10922522000 has 80 divisors (see below), whose sum is σ = 28442314992. Its totient is φ = 4032921600.

The previous prime is 10922521993. The next prime is 10922522011. The reversal of 10922522000 is 22522901.

It can be written as a sum of positive squares in 8 ways, for example, as 3050573824 + 7871948176 = 55232^2 + 88724^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184049 + ... + 236048.

Almost surely, 210922522000 is an apocalyptic number.

10922522000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10922522000 is an abundant number, since it is smaller than the sum of its proper divisors (17519792992).

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

10922522000 is a wasteful number, since it uses less digits than its factorization.

10922522000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420133 (or 420117 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 10922522000 in words is "ten billion, nine hundred twenty-two million, five hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 125 130 200 208 250 260 325 400 500 520 650 1000 1040 1300 1625 2000 2600 3250 5200 6500 13000 26000 420097 840194 1680388 2100485 3360776 4200970 5461261 6721552 8401940 10502425 10922522 16803880 21004850 21845044 27306305 33607760 42009700 43690088 52512125 54612610 84019400 87380176 105024250 109225220 136531525 168038800 210048500 218450440 273063050 420097000 436900880 546126100 682657625 840194000 1092252200 1365315250 2184504400 2730630500 5461261000 10922522000