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2300122030232 = 231331716934547
BaseRepresentation
bin100001011110001001111…
…101001110000010011000
322010220000110101122201102
4201132021331032002120
5300141122214431412
64520354513410532
7325115111445605
oct41361175160230
98126013348642
102300122030232
11807526a16214
12311942269a48
13138b9274b000
147d47dcb96ac
153ec712438c2
hex21789f4e098

2300122030232 has 128 divisors (see below), whose sum is σ = 4950790891200. Its totient is φ = 998338258944.

The previous prime is 2300122030231. The next prime is 2300122030253. The reversal of 2300122030232 is 2320302210032.

It is a super-2 number, since 2×23001220302322 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300122030231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 505852583 + ... + 505857129.

Almost surely, 22300122030232 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 2300122030232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475395445600).

2300122030232 is an abundant number, since it is smaller than the sum of its proper divisors (2650668860968).

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

2300122030232 is a wasteful number, since it uses less digits than its factorization.

2300122030232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6302 (or 6272 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 20.

Adding to 2300122030232 its reverse (2320302210032), we get a palindrome (4620424240264).

The spelling of 2300122030232 in words is "two trillion, three hundred billion, one hundred twenty-two million, thirty thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 17 26 34 52 68 104 136 169 221 338 442 676 884 1352 1693 1768 2197 2873 3386 4394 4547 5746 6772 8788 9094 11492 13544 17576 18188 22009 22984 28781 36376 37349 44018 57562 59111 74698 77299 88036 115124 118222 149396 154598 176072 230248 236444 286117 298792 309196 374153 472888 572234 618392 748306 768443 1004887 1144468 1496612 1536886 2009774 2288936 2993224 3073772 3719521 4019548 4863989 6147544 7439042 7698071 8039096 9727978 9989759 13063531 14878084 15396142 19455956 19979518 26127062 29756168 30792284 38911912 39959036 52254124 61584568 63231857 79918072 100074923 104508248 126463714 130867207 169825903 200149846 252927428 261734414 339651806 400299692 505854856 523468828 679303612 800599384 1046937656 1300973999 1358607224 1701273691 2601947998 3402547382 5203895996 6805094764 10407791992 13610189528 16912661987 22116557983 33825323974 44233115966 67650647948 88466231932 135301295896 176932463864 287515253779 575030507558 1150061015116 2300122030232