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61101008802 = 2342961213209
BaseRepresentation
bin111000111001111001…
…110110011110100010
312211201020022211220000
4320321321312132202
52000113324240202
644022554400430
74262066001621
oct707171663642
9184636284800
1061101008802
1123a04a21299
12ba12730116
1359b98a20a2
142d58bb56b8
1518c923791c
hexe39e767a2

61101008802 has 80 divisors (see below), whose sum is σ = 143955127800. Its totient is φ = 19342229760.

The previous prime is 61101008797. The next prime is 61101008809. The reversal of 61101008802 is 20880010116.

It can be written as a sum of positive squares in 4 ways, for example, as 14051494521 + 47049514281 = 118539^2 + 216909^2 .

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

It is not an unprimeable number, because it can be changed into a prime (61101008809) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179974 + ... + 393182.

Almost surely, 261101008802 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61101008802, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71977563900).

61101008802 is an abundant number, since it is smaller than the sum of its proper divisors (82854118998).

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

61101008802 is a wasteful number, since it uses less digits than its factorization.

61101008802 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213313 (or 213304 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 61101008802 its reverse (20880010116), we get a palindrome (81981018918).

The spelling of 61101008802 in words is "sixty-one billion, one hundred one million, eight thousand, eight hundred two".

Divisors: 1 2 3 6 9 18 27 29 54 58 61 81 87 122 162 174 183 261 366 522 549 783 1098 1566 1647 1769 2349 3294 3538 4698 4941 5307 9882 10614 15921 31842 47763 95526 143289 213209 286578 426418 639627 1279254 1918881 3837762 5756643 6183061 11513286 12366122 13005749 17269929 18549183 26011498 34539858 37098366 39017247 55647549 78034494 111295098 117051741 166942647 234103482 333885294 351155223 377166721 500827941 702310446 754333442 1001655882 1053465669 1131500163 2106931338 2263000326 3394500489 6789000978 10183501467 20367002934 30550504401 61101008802