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10323213021 = 3311733111531
BaseRepresentation
bin10011001110100111…
…11011101011011101
3222122102221120001000
421213103323223131
5132120220304041
64424210140513
7513550601652
oct114723735335
928572846030
1010323213021
114418203810
122001281739
13c86954c94
146dd059c29
15406454bb6
hex2674fbadd

10323213021 has 64 divisors (see below), whose sum is σ = 16977991680. Its totient is φ = 6146928000.

The previous prime is 10323213013. The next prime is 10323213071. The reversal of 10323213021 is 12031232301.

10323213021 is a `hidden beast` number, since 10 + 32 + 321 + 302 + 1 = 666.

It is not a de Polignac number, because 10323213021 - 23 = 10323213013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10323212985 and 10323213003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10323213071) 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, 6742026 + ... + 6743556.

It is an arithmetic number, because the mean of its divisors is an integer number (265281120).

Almost surely, 210323213021 is an apocalyptic number.

10323213021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10323213021 is a deficient number, since it is larger than the sum of its proper divisors (6654778659).

10323213021 is a wasteful number, since it uses less digits than its factorization.

10323213021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10323213021 its reverse (12031232301), we get a palindrome (22354445322).

It can be divided in two parts, 103 and 23213021, that added together give a square (23213124 = 48182).

The spelling of 10323213021 in words is "ten billion, three hundred twenty-three million, two hundred thirteen thousand, twenty-one".

Divisors: 1 3 9 11 27 33 73 99 219 297 311 657 803 933 1531 1971 2409 2799 3421 4593 7227 8397 10263 13779 16841 21681 22703 30789 41337 50523 68109 92367 111763 151569 204327 249733 335289 454707 476141 612981 749199 1005867 1229393 1428423 2247597 3017601 3688179 4285269 5237551 6742791 11064537 12855807 15712653 33193611 34758293 47137959 104274879 141413877 312824637 382341223 938473911 1147023669 3441071007 10323213021