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12322021233030 = 23523139334338431
BaseRepresentation
bin1011001101001111000110…
…1100101101000110000110
31121121222021211211200020220
42303103301230231012012
53103340444413424110
642112354114405210
72411144113226415
oct263236154550606
947558254750226
1012322021233030
113a2081582a443
12147010bb90806
136b4c66895ba2
1430856362b47c
151657cda04370
hexb34f1b2d186

12322021233030 has 128 divisors (see below), whose sum is σ = 31090737807360. Its totient is φ = 3119382161280.

The previous prime is 12322021233029. The next prime is 12322021233037. The reversal of 12322021233030 is 3033212022321.

12322021233030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12322021233037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 320607915 + ... + 320646345.

It is an arithmetic number, because the mean of its divisors is an integer number (242896389120).

Almost surely, 212322021233030 is an apocalyptic number.

12322021233030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12322021233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15545368903680).

12322021233030 is an abundant number, since it is smaller than the sum of its proper divisors (18768716574330).

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

12322021233030 is a wasteful number, since it uses less digits than its factorization.

12322021233030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41946.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 12322021233030 its reverse (3033212022321), we get a palindrome (15355233255351).

The spelling of 12322021233030 in words is "twelve trillion, three hundred twenty-two billion, twenty-one million, two hundred thirty-three thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 139 230 278 345 417 690 695 834 1390 2085 3197 3343 4170 6394 6686 9591 10029 15985 16715 19182 20058 31970 33430 38431 47955 50145 76862 76889 95910 100290 115293 153778 192155 230586 230667 384310 384445 461334 464677 576465 768890 883913 929354 1152930 1153335 1394031 1767826 2306670 2323385 2651739 2788062 4419565 4646770 5303478 5341909 6970155 8839130 10683818 10687571 13258695 13940310 16025727 21375142 26517390 26709545 32051454 32062713 53419090 53437855 64125426 80128635 106875710 122863907 128474833 160257270 160313565 245727814 256949666 320627130 368591721 385424499 614319535 642374165 737183442 770848998 1228639070 1284748330 1842958605 1927122495 2954921159 3685917210 3854244990 5909842318 8864763477 14774605795 17729526954 17858001787 29549211590 35716003574 44323817385 53574005361 88647634770 89290008935 107148010722 178580017870 267870026805 410734041101 535740053610 821468082202 1232202123303 2053670205505 2464404246606 4107340411010 6161010616515 12322021233030