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23030200030320 = 2432574569484133
BaseRepresentation
bin1010011110010001000101…
…11001000101010001110000
310000112122222020102021111100
411033020202321011101300
511004311322201432240
6120551532225044400
74564606553216430
oct517104271052160
9100478866367440
1023030200030320
11737a06458055a
1226bb4a7486700
13cb097a773a62
1459894bd8c2c0
1529e105a66e30
hex14f222e45470

23030200030320 has 120 divisors (see below), whose sum is σ = 88392101088096. Its totient is φ = 5264045720064.

The previous prime is 23030200030303. The next prime is 23030200030361. The reversal of 23030200030320 is 2303000203032.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×230302000303202 (a number of 28 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23030200030293 and 23030200030302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2284737027 + ... + 2284747106.

Almost surely, 223030200030320 is an apocalyptic number.

23030200030320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23030200030320 is an abundant number, since it is smaller than the sum of its proper divisors (65361901057776).

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

23030200030320 is a wasteful number, since it uses less digits than its factorization.

23030200030320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569484159 (or 4569484150 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 23030200030320 its reverse (2303000203032), we get a palindrome (25333200233352).

The spelling of 23030200030320 in words is "twenty-three trillion, thirty billion, two hundred million, thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 4569484133 9138968266 13708452399 18277936532 22847420665 27416904798 31986388931 36555873064 41125357197 45694841330 54833809596 63972777862 68542261995 73111746128 82250714394 91389682660 95959166793 109667619192 127945555724 137084523990 159931944655 164501428788 182779365320 191918333586 205626785985 219335238384 255891111448 274169047980 287877500379 319863889310 329002857576 365558730640 383836667172 411253571970 479795833965 511782222896 548338095960 575755000758 639727778620 658005715152 767673334344 822507143940 959591667930 1096676191920 1151510001516 1279455557240 1439387501895 1535346668688 1645014287880 1919183335860 2303020003032 2558911114480 2878775003790 3290028575760 3838366671720 4606040006064 5757550007580 7676733343440 11515100015160 23030200030320