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23022003000100 = 225213371792673899
BaseRepresentation
bin1010011110000001110100…
…10011111001001100100100
310000111212210222020222221111
411033000322103321030210
511004143030232000400
6120544055010154404
74564166460501226
oct517007223711444
9100455728228844
1023022003000100
117376638569415
1226b999a282a04
13cacc72476310
145983b1476416
1529dcc60ec3ba
hex14f03a4f9324

23022003000100 has 144 divisors (see below), whose sum is σ = 55563428088000. Its totient is φ = 8224482424320.

The previous prime is 23022003000091. The next prime is 23022003000107. The reversal of 23022003000100 is 100030022032.

It is a happy number.

It is a super-2 number, since 2×230220030001002 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (23022003000107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7272951 + ... + 9946849.

It is an arithmetic number, because the mean of its divisors is an integer number (385857139500).

Almost surely, 223022003000100 is an apocalyptic number.

23022003000100 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 23022003000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27781714044000).

23022003000100 is an abundant number, since it is smaller than the sum of its proper divisors (32541425087900).

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

23022003000100 is a wasteful number, since it uses less digits than its factorization.

23022003000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2674142 (or 2674135 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 23022003000100 its reverse (100030022032), we get a palindrome (23122033022132).

The spelling of 23022003000100 in words is "twenty-three trillion, twenty-two billion, three million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 13 20 25 26 37 50 52 65 74 100 130 148 179 185 260 325 358 370 481 650 716 740 895 925 962 1300 1790 1850 1924 2327 2405 3580 3700 4475 4654 4810 6623 8950 9308 9620 11635 12025 13246 17900 23270 24050 26492 33115 46540 48100 58175 66230 86099 116350 132460 165575 172198 232700 331150 344396 430495 662300 860990 1721980 2152475 2673899 4304950 5347798 8609900 10695596 13369495 26738990 34760687 53477980 66847475 69521374 98934263 133694950 139042748 173803435 197868526 267389900 347606870 395737052 478627921 494671315 695213740 869017175 957255842 989342630 1286145419 1738034350 1914511684 1978685260 2393139605 2473356575 2572290838 3476068700 4786279210 4946713150 5144581676 6222162973 6430727095 9572558420 9893426300 11965698025 12444325946 12861454190 17709233077 23931396050 24888651892 25722908380 31110814865 32153635475 35418466154 47862792100 62221629730 64307270950 70836932308 88546165385 124443259460 128614541900 155554074325 177092330770 230220030001 311108148650 354184661540 442730826925 460440060002 622216297300 885461653850 920880120004 1151100150005 1770923307700 2302200300010 4604400600020 5755500750025 11511001500050 23022003000100