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10413223212 = 2237897011987
BaseRepresentation
bin10011011001010110…
…10010110100101100
3222212201022112210210
421230223102310230
5132311241120322
64441143302420
7516022636230
oct115453226454
928781275723
1010413223212
114463aa17a7
12202744aa10
13c9c4ab752
1470adaa5c0
1540e2d470c
hex26cad2d2c

10413223212 has 96 divisors (see below), whose sum is σ = 28134812160. Its totient is φ = 2936102400.

The previous prime is 10413223207. The next prime is 10413223213. The reversal of 10413223212 is 21232231401.

10413223212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (10413223213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5239683 + ... + 5241669.

It is an arithmetic number, because the mean of its divisors is an integer number (293070960).

Almost surely, 210413223212 is an apocalyptic number.

10413223212 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 10413223212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14067406080).

10413223212 is an abundant number, since it is smaller than the sum of its proper divisors (17721588948).

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

10413223212 is a wasteful number, since it uses less digits than its factorization.

10413223212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2791 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10413223212 its reverse (21232231401), we get a palindrome (31645454613).

The spelling of 10413223212 in words is "ten billion, four hundred thirteen million, two hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 89 178 267 356 534 623 701 1068 1246 1402 1869 1987 2103 2492 2804 3738 3974 4206 4907 5961 7476 7948 8412 9814 11922 13909 14721 19628 23844 27818 29442 41727 55636 58884 62389 83454 124778 166908 176843 187167 249556 353686 374334 436723 530529 707372 748668 873446 1061058 1237901 1310169 1392887 1746892 2122116 2475802 2620338 2785774 3713703 4178661 4951604 5240676 5571548 7427406 8357322 9750209 14854812 16714644 19500418 29250627 39000836 58501254 117002508 123966943 247933886 371900829 495867772 743801658 867768601 1487603316 1735537202 2603305803 3471074404 5206611606 10413223212