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22213304001300 = 223523671050119213
BaseRepresentation
bin1010000110011111100000…
…00110000010001100010100
32220122120102100102022222010
411003033300012002030110
510402420321311020200
6115124352340104220
74451600244434526
oct503176006021424
986576370368863
1022213304001300
117094678011115
1225a9106695070
13c51923208099
1456b1b5a8da16
15287c44289150
hex1433f0182314

22213304001300 has 144 divisors (see below), whose sum is σ = 64455108553472. Its totient is φ = 5906537280000.

The previous prime is 22213304001269. The next prime is 22213304001347. The reversal of 22213304001300 is 310040331222.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1156150494 + ... + 1156169706.

Almost surely, 222213304001300 is an apocalyptic number.

22213304001300 is a gapful number since it is divisible by the number (20) 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 22213304001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32227554276736).

22213304001300 is an abundant number, since it is smaller than the sum of its proper divisors (42241804552172).

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

22213304001300 is a wasteful number, since it uses less digits than its factorization.

22213304001300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30098 (or 30091 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 22213304001300 its reverse (310040331222), we get a palindrome (22523344332522).

The spelling of 22213304001300 in words is "twenty-two trillion, two hundred thirteen billion, three hundred four million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 367 734 1101 1468 1835 2202 3670 4404 5505 7340 9175 10501 11010 18350 19213 21002 22020 27525 31503 36700 38426 42004 52505 55050 57639 63006 76852 96065 105010 110100 115278 126012 157515 192130 210020 230556 262525 288195 315030 384260 480325 525050 576390 630060 787575 960650 1050100 1152780 1440975 1575150 1921300 2881950 3150300 3853867 5763900 7051171 7707734 11561601 14102342 15415468 19269335 21153513 23123202 28204684 35255855 38538670 42307026 46246404 57808005 70511710 77077340 84614052 96346675 105767565 115616010 141023420 176279275 192693350 201755713 211535130 231232020 289040025 352558550 385386700 403511426 423070260 528837825 578080050 605267139 705117100 807022852 1008778565 1057675650 1156160100 1210534278 2017557130 2115351300 2421068556 3026335695 4035114260 5043892825 6052671390 10087785650 12105342780 15131678475 20175571300 30263356950 60526713900 74044346671 148088693342 222133040013 296177386684 370221733355 444266080026 740443466710 888532160052 1110665200065 1480886933420 1851108666775 2221330400130 3702217333550 4442660800260 5553326000325 7404434667100 11106652000650 22213304001300