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1009275321110 = 257157604715187
BaseRepresentation
bin11101010111111010111…
…11110011101100010110
310120111010010120120001112
432223331133303230112
5113013443440233420
62051353224455022
7132626532452360
oct16537537635426
93514103516045
101009275321110
1135a038674a31
1214373031a472
1374235ab5924
1436bc6249d30
151b3c0bc98c5
hexeafd7f3b16

1009275321110 has 64 divisors (see below), whose sum is σ = 2089931010048. Its totient is φ = 343753697664.

The previous prime is 1009275321101. The next prime is 1009275321133. The reversal of 1009275321110 is 111235729001.

It is a happy number.

It is a super-2 number, since 2×10092753211102 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

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, 66448937 + ... + 66464123.

It is an arithmetic number, because the mean of its divisors is an integer number (32655172032).

Almost surely, 21009275321110 is an apocalyptic number.

1009275321110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1009275321110 is an abundant number, since it is smaller than the sum of its proper divisors (1080655688938).

1009275321110 is a wasteful number, since it uses less digits than its factorization.

1009275321110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21405.

The product of its (nonzero) digits is 3780, while the sum is 32.

The spelling of 1009275321110 in words is "one trillion, nine billion, two hundred seventy-five million, three hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 14 35 70 157 314 785 1099 1570 2198 5495 6047 10990 12094 15187 30235 30374 42329 60470 75935 84658 106309 151870 211645 212618 423290 531545 949379 1063090 1898758 2384359 4746895 4768718 6645653 9493790 11921795 13291306 16690513 23843590 33228265 33381026 66456530 83452565 91835789 166905130 183671578 459178945 642850523 918357890 1285701046 3214252615 6428505230 14418218873 28836437746 72091094365 100927532111 144182188730 201855064222 504637660555 1009275321110