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1101333320020 = 225192877173933
BaseRepresentation
bin10000000001101100100…
…101001101000101010100
310220021201210221102221201
4100001230211031011110
5121021012312220040
62201540123122244
7142366031521633
oct20015445150524
93807653842851
101101333320020
11395088a4706a
12159542373384
137cb170ab42b
143b43a5bd51a
151d9aca73a9a
hex1006c94d154

1101333320020 has 72 divisors (see below), whose sum is σ = 2443730260104. Its totient is φ = 416869085952.

The previous prime is 1101333320011. The next prime is 1101333320029. The reversal of 1101333320020 is 200233331011.

It is an interprime number because it is at equal distance from previous prime (1101333320011) and next prime (1101333320029).

It can be written as a sum of positive squares in 4 ways, for example, as 526675324176 + 574657995844 = 725724^2 + 758062^2 .

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 1101333320020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101333320029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6244974 + ... + 6418906.

It is an arithmetic number, because the mean of its divisors is an integer number (33940698057).

Almost surely, 21101333320020 is an apocalyptic number.

1101333320020 is a gapful number since it is divisible by the number (10) 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 1101333320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221865130052).

1101333320020 is an abundant number, since it is smaller than the sum of its proper divisors (1342396940084).

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

1101333320020 is a wasteful number, since it uses less digits than its factorization.

1101333320020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174857 (or 174836 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 1101333320020 its reverse (200233331011), we get a palindrome (1301566651031).

The spelling of 1101333320020 in words is "one trillion, one hundred one billion, three hundred thirty-three million, three hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 877 1444 1754 1805 3508 3610 4385 7220 8770 16663 17540 33326 66652 83315 166630 173933 316597 333260 347866 633194 695732 869665 1266388 1582985 1739330 3165970 3304727 3478660 6331940 6609454 13218908 16523635 33047270 62789813 66094540 125579626 152539241 251159252 305078482 313949065 610156964 627898130 762696205 1255796260 1525392410 2898245579 3050784820 5796491158 11592982316 14491227895 28982455790 55066666001 57964911580 110133332002 220266664004 275333330005 550666660010 1101333320020