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10123212 = 22311531447
BaseRepresentation
bin100110100111…
…011111001100
3201001022102210
4212213133030
510042420322
61000550420
7152021511
oct46473714
921038383
1010123212
1157947a0
123482410
132135988
1414b7308
15d4e70c
hex9a77cc

10123212 has 48 divisors (see below), whose sum is σ = 26272512. Its totient is φ = 3007680.

The previous prime is 10123207. The next prime is 10123241. The reversal of 10123212 is 21232101.

10123212 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an alternating number because its digits alternate between odd and even.

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, 6273 + ... + 7719.

It is an arithmetic number, because the mean of its divisors is an integer number (547344).

Almost surely, 210123212 is an apocalyptic number.

10123212 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 10123212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13136256).

10123212 is an abundant number, since it is smaller than the sum of its proper divisors (16149300).

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

10123212 is a wasteful number, since it uses less digits than its factorization.

10123212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 10123212 is about 3181.6995458402. The cubic root of 10123212 is about 216.3247002669.

Adding to 10123212 its reverse (21232101), we get a palindrome (31355313).

Subtracting 10123212 from its reverse (21232101), we obtain a square (11108889 = 33332).

It can be divided in two parts, 1012 and 3212, that added together give a palindrome (4224).

The spelling of 10123212 in words is "ten million, one hundred twenty-three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1447 1749 2332 2894 3498 4341 5788 6996 8682 15917 17364 31834 47751 63668 76691 95502 153382 191004 230073 306764 460146 843601 920292 1687202 2530803 3374404 5061606 10123212