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23012311122300 = 22352434737955321
BaseRepresentation
bin1010011101101111110001…
…01000010100000101111100
310000110221210112021121000110
411032313320220110011330
511004013203121403200
6120535413151430020
74563404344054563
oct516677050240574
9100427715247013
1023012311122300
117372514776155
1226b7b34525310
13cac08956b896
14597b321dcbda
1529d90a304b50
hex14edf8a1417c

23012311122300 has 144 divisors (see below), whose sum is σ = 69580303575552. Its totient is φ = 5866374259200.

The previous prime is 23012311122223. The next prime is 23012311122337. The reversal of 23012311122300 is 322111321032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18371361 + ... + 19583960.

It is an arithmetic number, because the mean of its divisors is an integer number (483196552608).

Almost surely, 223012311122300 is an apocalyptic number.

23012311122300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23012311122300 is an abundant number, since it is smaller than the sum of its proper divisors (46567992453252).

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

23012311122300 is a wasteful number, since it uses less digits than its factorization.

23012311122300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37955428 (or 37955421 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 23012311122300 its reverse (322111321032), we get a palindrome (23334422443332).

The spelling of 23012311122300 in words is "twenty-three trillion, twelve billion, three hundred eleven million, one hundred twenty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 43 47 50 60 75 86 94 100 129 141 150 172 188 215 235 258 282 300 430 470 516 564 645 705 860 940 1075 1175 1290 1410 2021 2150 2350 2580 2820 3225 3525 4042 4300 4700 6063 6450 7050 8084 10105 12126 12900 14100 20210 24252 30315 40420 50525 60630 101050 121260 151575 202100 303150 606300 37955321 75910642 113865963 151821284 189776605 227731926 379553210 455463852 569329815 759106420 948883025 1138659630 1632078803 1783900087 1897766050 2277319260 2846649075 3264157606 3567800174 3795532100 4896236409 5351700261 5693298150 6528315212 7135600348 8160394015 8919500435 9792472818 10703400522 11386596300 16320788030 17839000870 19584945636 21406801044 24481182045 26758501305 32641576060 35678001740 40801970075 44597502175 48962364090 53517002610 76707703741 81603940150 89195004350 97924728180 107034005220 122405910225 133792506525 153415407482 163207880300 178390008700 230123111223 244811820450 267585013050 306830814964 383538518705 460246222446 489623640900 535170026100 767077037410 920492444892 1150615556115 1534154074820 1917692593525 2301231112230 3835385187050 4602462224460 5753077780575 7670770374100 11506155561150 23012311122300