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10141104132312 = 2334323814127111
BaseRepresentation
bin1001001110010010100011…
…1010001101000011011000
31022220110221222112212100220
42103210220322031003120
52312122440124213222
633322431532200040
72064446004600246
oct223445072150330
938813858485326
1010141104132312
11325a8aa9a50aa
1211794b7309020
135873c06b703a
14270b91253796
15128bd7a64b5c
hex93928e8d0d8

10141104132312 has 64 divisors (see below), whose sum is σ = 25953261269760. Its totient is φ = 3300367324800.

The previous prime is 10141104132301. The next prime is 10141104132317. The reversal of 10141104132312 is 21323140114101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10141104132317) 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 15 ways as a sum of consecutive naturals, for example, 393637 + ... + 4520747.

It is an arithmetic number, because the mean of its divisors is an integer number (405519707340).

Almost surely, 210141104132312 is an apocalyptic number.

10141104132312 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 10141104132312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12976630634880).

10141104132312 is an abundant number, since it is smaller than the sum of its proper divisors (15812157137448).

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

10141104132312 is a wasteful number, since it uses less digits than its factorization.

10141104132312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129544 (or 4129540 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 10141104132312 its reverse (21323140114101), we get a palindrome (31464244246413).

The spelling of 10141104132312 in words is "ten trillion, one hundred forty-one billion, one hundred four million, one hundred thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 2381 4762 7143 9524 14286 19048 28572 57144 102383 204766 307149 409532 614298 819064 1228596 2457192 4127111 8254222 12381333 16508444 24762666 33016888 49525332 99050664 177465773 354931546 532397319 709863092 1064794638 1419726184 2129589276 4259178552 9826651291 19653302582 29479953873 39306605164 58959907746 78613210328 117919815492 235839630984 422546005513 845092011026 1267638016539 1690184022052 2535276033078 3380368044104 5070552066156 10141104132312