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10231013103232 = 274718125213727
BaseRepresentation
bin1001010011100001011111…
…1001101101011010000000
31100020002000220010211001211
42110320113321231122000
52320111103323300412
633432021301335504
72104111020334015
oct224702771553200
940202026124054
1010231013103232
113294a481a1749
121192a09707594
13592a1b6b6b4c
1427528001770c
1512b1eae0eca7
hex94e17e6d680

10231013103232 has 128 divisors (see below), whose sum is σ = 20944683002880. Its totient is φ = 4975694438400.

The previous prime is 10231013103217. The next prime is 10231013103239. The reversal of 10231013103232 is 23230131013201.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (10231013103239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2745104953 + ... + 2745108679.

It is an arithmetic number, because the mean of its divisors is an integer number (163630335960).

Almost surely, 210231013103232 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 10231013103232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10472341501440).

10231013103232 is an abundant number, since it is smaller than the sum of its proper divisors (10713669899648).

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

10231013103232 is a wasteful number, since it uses less digits than its factorization.

10231013103232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6490 (or 6478 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 10231013103232 its reverse (23230131013201), we get a palindrome (33461144116433).

The spelling of 10231013103232 in words is "ten trillion, two hundred thirty-one billion, thirteen million, one hundred three thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 181 188 362 376 724 752 1448 1504 2521 2896 3008 3727 5042 5792 6016 7454 8507 10084 11584 14908 17014 20168 23168 29816 34028 40336 59632 68056 80672 118487 119264 136112 161344 175169 236974 238528 272224 322688 350338 456301 473948 477056 544448 674587 700676 912602 947896 1088896 1349174 1401352 1825204 1895792 2698348 2802704 3650408 3791584 5396696 5605408 7300816 7583168 9395767 10793392 11210816 14601632 15166336 18791534 21446147 21586784 22421632 29203264 31705589 37583068 42892294 43173568 58406528 63411178 75166136 85784588 86347136 126822356 150332272 171569176 253644712 300664544 343138352 441601049 507289424 601329088 686276704 883202098 1014578848 1202658176 1372553408 1700633827 1766404196 2029157696 2745106816 3401267654 3532808392 4058315392 6802535308 7065616784 13605070616 14131233568 27210141232 28262467136 54420282464 56524934272 79929789869 108840564928 159859579738 217681129856 319719159476 639438318952 1278876637904 2557753275808 5115506551616 10231013103232