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1001010022012 = 2271113369167733
BaseRepresentation
bin11101001000100001101…
…10001100011001111100
310112200210002221212012201
432210100312030121330
5112400032031201022
62043505130441244
7132214650540430
oct16442066143174
93480702855181
101001010022012
11356587074430
12142004293224
13735196045c0
14366406429c0
151b08a277127
hexe910d8c67c

1001010022012 has 96 divisors (see below), whose sum is σ = 2352695514624. Its totient is φ = 359900755200.

The previous prime is 1001010021989. The next prime is 1001010022087. The reversal of 1001010022012 is 2102200101001.

It is a self number, because there is not a number n which added to its sum of digits gives 1001010022012.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14744898 + ... + 14812630.

It is an arithmetic number, because the mean of its divisors is an integer number (24507244944).

Almost surely, 21001010022012 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 1001010022012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176347757312).

1001010022012 is an abundant number, since it is smaller than the sum of its proper divisors (1351685492612).

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

1001010022012 is a wasteful number, since it uses less digits than its factorization.

1001010022012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71459 (or 71457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001010022012 its reverse (2102200101001), we get a palindrome (3103210123013).

The spelling of 1001010022012 in words is "one trillion, one billion, ten million, twenty-two thousand, twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 2002 3691 4004 7382 14764 25837 40601 47983 51674 67733 81202 95966 103348 135466 162404 191932 270932 284207 335881 474131 527813 568414 671762 745063 880529 948262 1055626 1136828 1343524 1490126 1761058 1896524 2111252 2980252 3522116 3694691 5215441 6163703 7389382 9685819 10430882 12327406 14778764 19371638 20861764 24654812 38743276 67800733 135601466 250002503 271202932 500005006 1000010012 1750017521 2750027533 3250032539 3500035042 5500055066 6500065078 7000070084 11000110132 13000130156 19250192731 22750227773 35750357929 38500385462 45500455546 71500715858 77000770924 91000911092 143001431716 250252505503 500505011006 1001010022012