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122103312 = 2435574567
BaseRepresentation
bin1110100011100…
…10011000010000
322111202111020220
413101302120100
5222224301222
620041033040
73011601222
oct721623020
9274674226
10122103312
1162a19031
1234a85780
131c3b23a6
1412306412
15aabdb5c
hex7472610

122103312 has 40 divisors (see below), whose sum is σ = 316069056. Its totient is φ = 40619136.

The previous prime is 122103301. The next prime is 122103337. The reversal of 122103312 is 213301221.

It is a junction number, because it is equal to n+sod(n) for n = 122103291 and 122103300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24453 + ... + 29019.

Almost surely, 2122103312 is an apocalyptic number.

122103312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

122103312 is an abundant number, since it is smaller than the sum of its proper divisors (193965744).

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

122103312 is a wasteful number, since it uses less digits than its factorization.

122103312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5135 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 122103312 is about 11050.0367420204. The cubic root of 122103312 is about 496.1075252490.

Adding to 122103312 its reverse (213301221), we get a palindrome (335404533).

The spelling of 122103312 in words is "one hundred twenty-two million, one hundred three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 557 1114 1671 2228 3342 4456 4567 6684 8912 9134 13368 13701 18268 26736 27402 36536 54804 73072 109608 219216 2543819 5087638 7631457 10175276 15262914 20350552 30525828 40701104 61051656 122103312