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1020222200304 = 2432101174740153
BaseRepresentation
bin11101101100010011111…
…10110101100111110000
310121112101001001122020200
432312021332311213300
5113203403340402204
62100403354235200
7133465025422146
oct16661176654760
93545331048220
101020222200304
1136374592032a
12145886425b00
137528ba01538
143754404d596
151b811c74539
hexed89fb59f0

1020222200304 has 120 divisors (see below), whose sum is σ = 2885196926352. Its totient is φ = 336505881600.

The previous prime is 1020222200303. The next prime is 1020222200419. The reversal of 1020222200304 is 4030022220201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020222200303) 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, 25388292 + ... + 25428444.

Almost surely, 21020222200304 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 1020222200304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442598463176).

1020222200304 is an abundant number, since it is smaller than the sum of its proper divisors (1864974726048).

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

1020222200304 is a wasteful number, since it uses less digits than its factorization.

1020222200304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42015 (or 42006 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 1020222200304 its reverse (4030022220201), we get a palindrome (5050244420505).

The spelling of 1020222200304 in words is "one trillion, twenty billion, two hundred twenty-two million, two hundred thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 101 144 202 303 404 606 808 909 1212 1616 1747 1818 2424 3494 3636 4848 5241 6988 7272 10482 13976 14544 15723 20964 27952 31446 40153 41928 62892 80306 83856 120459 125784 160612 176447 240918 251568 321224 352894 361377 481836 529341 642448 705788 722754 963672 1058682 1411576 1445508 1588023 1927344 2117364 2823152 2891016 3176046 4055453 4234728 5782032 6352092 8110906 8469456 12166359 12704184 16221812 24332718 25408368 32443624 36499077 48665436 64887248 70147291 72998154 97330872 140294582 145996308 194661744 210441873 280589164 291992616 420883746 561178328 583985232 631325619 841767492 1122356656 1262651238 1683534984 2525302476 3367069968 5050604952 7084876391 10101209904 14169752782 21254629173 28339505564 42509258346 56679011128 63763887519 85018516692 113358022256 127527775038 170037033384 255055550076 340074066768 510111100152 1020222200304