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1022033331012 = 2231949923513821
BaseRepresentation
bin11101101111101011110…
…11110000001101000100
310121201001021000121111210
432313311323300031010
5113221111013043022
62101303213131420
7133560636655461
oct16676573601504
93551037017453
101022033331012
11364495197671
121460b0a89b70
13754b9cbaa05
14376767c2668
151b8bac7aa0c
hexedf5ef0344

1022033331012 has 96 divisors (see below), whose sum is σ = 2517016320000. Its totient is φ = 321879312000.

The previous prime is 1022033331001. The next prime is 1022033331037. The reversal of 1022033331012 is 2101333302201.

It is a self number, because there is not a number n which added to its sum of digits gives 1022033331012.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267476062 + ... + 267479882.

It is an arithmetic number, because the mean of its divisors is an integer number (26218920000).

Almost surely, 21022033331012 is an apocalyptic number.

1022033331012 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 1022033331012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1258508160000).

1022033331012 is an abundant number, since it is smaller than the sum of its proper divisors (1494982988988).

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

1022033331012 is a wasteful number, since it uses less digits than its factorization.

1022033331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6697 (or 6695 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 1022033331012 its reverse (2101333302201), we get a palindrome (3123366633213).

The spelling of 1022033331012 in words is "one trillion, twenty-two billion, thirty-three million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 499 998 1497 1996 2351 2994 3821 4702 5988 7053 7642 9404 9481 11463 14106 15284 18962 22926 28212 28443 37924 44669 45852 56886 72599 89338 113772 134007 145198 178676 217797 268014 290396 435594 536028 871188 1173149 1906679 2346298 3519447 3813358 4692596 5720037 7038894 7626716 8983171 11440074 14077788 17966342 22289831 22880148 26949513 35932684 36226901 44579662 53899026 66869493 72453802 89159324 107798052 108680703 133738986 144907604 170680249 217361406 267477972 341360498 434722812 512040747 682720996 1024081494 2048162988 4482602329 8965204658 13447806987 17930409316 26895613974 53791227948 85169444251 170338888502 255508332753 340677777004 511016665506 1022033331012