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22144103030300 = 22521766119706419
BaseRepresentation
bin1010000100011110100110…
…11001010001111000011100
32220101221210121120202211012
411002033103121101320130
510400302110333432200
6115032505511114352
74443600342045506
oct502172331217034
986357717522735
1022144103030300
117068296957399
1225978133729b8
13c48245493674
14567acd22cd76
15286043daca35
hex1423d3651e1c

22144103030300 has 72 divisors (see below), whose sum is σ = 50956309056240. Its totient is φ = 8323990963200.

The previous prime is 22144103030297. The next prime is 22144103030303. The reversal of 22144103030300 is 303030144122.

It is an interprime number because it is at equal distance from previous prime (22144103030297) and next prime (22144103030303).

It is a super-3 number, since 3×221441030303003 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22144103030303) 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, 8729510 + ... + 10976909.

It is an arithmetic number, because the mean of its divisors is an integer number (707726514670).

Almost surely, 222144103030300 is an apocalyptic number.

22144103030300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144103030300 is an abundant number, since it is smaller than the sum of its proper divisors (28812206025940).

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

22144103030300 is a wasteful number, since it uses less digits than its factorization.

22144103030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19707111 (or 19707104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

Adding to 22144103030300 its reverse (303030144122), we get a palindrome (22447133174422).

The spelling of 22144103030300 in words is "twenty-two trillion, one hundred forty-four billion, one hundred three million, thirty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 661 850 1322 1700 2644 3305 6610 11237 13220 16525 22474 33050 44948 56185 66100 112370 224740 280925 561850 1123700 19706419 39412838 78825676 98532095 197064190 335009123 394128380 492660475 670018246 985320950 1340036492 1675045615 1970641900 3350091230 6700182460 8375228075 13025942959 16750456150 26051885918 33500912300 52103771836 65129714795 130259429590 221441030303 260518859180 325648573975 442882060606 651297147950 885764121212 1107205151515 1302594295900 2214410303030 4428820606060 5536025757575 11072051515150 22144103030300