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10023303213312 = 28347293947729
BaseRepresentation
bin1001000111011011101101…
…1011010111000100000000
31022111012220020100010212220
42101312323123113010000
52303210211110311222
633152350353451040
72053105540365564
oct221667333270400
938435806303786
1010023303213312
11321494a3a20a4
12115a6bbb70a80
13579268c9bc3c
142691b7dc96a4
15125ae0b98b5c
hex91dbb6d7100

10023303213312 has 144 divisors (see below), whose sum is σ = 27337203613440. Its totient is φ = 3258849918976.

The previous prime is 10023303213293. The next prime is 10023303213331. The reversal of 10023303213312 is 21331230332001.

It is an interprime number because it is at equal distance from previous prime (10023303213293) and next prime (10023303213331).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10102264 + ... + 11049992.

It is an arithmetic number, because the mean of its divisors is an integer number (189841691760).

Almost surely, 210023303213312 is an apocalyptic number.

10023303213312 is a gapful number since it is divisible by the number (12) 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 10023303213312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13668601806720).

10023303213312 is an abundant number, since it is smaller than the sum of its proper divisors (17313900400128).

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

10023303213312 is an equidigital number, since it uses as much as digits as its factorization.

10023303213312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948088 (or 948074 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 10023303213312 its reverse (21331230332001), we get a palindrome (31354533545313).

The spelling of 10023303213312 in words is "ten trillion, twenty-three billion, three hundred three million, two hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 128 141 188 192 256 282 293 376 384 564 586 752 768 879 1128 1172 1504 1758 2256 2344 3008 3516 4512 4688 6016 7032 9024 9376 12032 13771 14064 18048 18752 27542 28128 36096 37504 41313 55084 56256 75008 82626 110168 112512 165252 220336 225024 330504 440672 661008 881344 947729 1322016 1762688 1895458 2644032 2843187 3525376 3790916 5288064 5686374 7581832 10576128 11372748 15163664 22745496 30327328 44543263 45490992 60654656 89086526 90981984 121309312 133629789 178173052 181963968 242618624 267259578 277684597 356346104 363927936 534519156 555369194 712692208 727855872 833053791 1069038312 1110738388 1425384416 1666107582 2138076624 2221476776 2850768832 3332215164 4276153248 4442953552 5701537664 6664430328 8552306496 8885907104 11403075328 13051176059 13328860656 17104612992 17771814208 26102352118 26657721312 34209225984 35543628416 39153528177 52204704236 53315442624 71087256832 78307056354 104409408472 106630885248 156614112708 208818816944 213261770496 313228225416 417637633888 626456450832 835275267776 1252912901664 1670550535552 2505825803328 3341101071104 5011651606656 10023303213312