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1010169410112 = 26333591628381
BaseRepresentation
bin11101011001100101100…
…10011111001001000000
310120120102102221222121000
432230302302133021000
5113022311332110422
62052022044132000
7132660640212012
oct16546262371100
93516372858530
101010169410112
1135a45732a265
1214393b837000
13743490bc985
1436c6cca81b2
151b424439cac
hexeb32c9f240

1010169410112 has 112 divisors (see below), whose sum is σ = 2977985001600. Its totient is φ = 335784983040.

The previous prime is 1010169410077. The next prime is 1010169410137. The reversal of 1010169410112 is 2110149610101.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193839 + ... + 1434542.

It is an arithmetic number, because the mean of its divisors is an integer number (26589151800).

Almost surely, 21010169410112 is an apocalyptic number.

1010169410112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010169410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488992500800).

1010169410112 is an abundant number, since it is smaller than the sum of its proper divisors (1967815591488).

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

1010169410112 is a wasteful number, since it uses less digits than its factorization.

1010169410112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1628761 (or 1628745 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The spelling of 1010169410112 in words is "one trillion, ten billion, one hundred sixty-nine million, four hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 359 432 576 718 864 1077 1436 1728 2154 2872 3231 4308 5744 6462 8616 9693 11488 12924 17232 19386 22976 25848 34464 38772 51696 68928 77544 103392 155088 206784 310176 620352 1628381 3256762 4885143 6513524 9770286 13027048 14655429 19540572 26054096 29310858 39081144 43966287 52108192 58621716 78162288 87932574 104216384 117243432 156324576 175865148 234486864 312649152 351730296 468973728 584588779 703460592 937947456 1169177558 1406921184 1753766337 2338355116 2813842368 3507532674 4676710232 5261299011 7015065348 9353420464 10522598022 14030130696 15783897033 18706840928 21045196044 28060261392 31567794066 37413681856 42090392088 56120522784 63135588132 84180784176 112241045568 126271176264 168361568352 252542352528 336723136704 505084705056 1010169410112