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123313420 = 225191911699
BaseRepresentation
bin1110101100110…
…01110100001100
322121000222012201
413112121310030
5223032012140
620123011244
73025101226
oct726316414
9277028181
10123313420
116367521a
1235369b24
131c717129
141253d416
15ac5c49a
hex7599d0c

123313420 has 48 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 46457280.

The previous prime is 123313417. The next prime is 123313441. The reversal of 123313420 is 24313321.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 71731 + ... + 73429.

It is an arithmetic number, because the mean of its divisors is an integer number (5712000).

Almost surely, 2123313420 is an apocalyptic number.

123313420 is a gapful number since it is divisible by the number (10) 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 123313420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

123313420 is an abundant number, since it is smaller than the sum of its proper divisors (150862580).

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

123313420 is a wasteful number, since it uses less digits than its factorization.

123313420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1916 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 123313420 is about 11104.6575813935. The cubic root of 123313420 is about 497.7410362015.

Adding to 123313420 its reverse (24313321), we get a palindrome (147626741).

Subtracting from 123313420 its reverse (24313321), we obtain a palindrome (99000099).

It can be divided in two parts, 12331 and 3420, that added together give a palindrome (15751).

The spelling of 123313420 in words is "one hundred twenty-three million, three hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 191 380 382 764 955 1699 1910 3398 3629 3820 6796 7258 8495 14516 16990 18145 32281 33980 36290 64562 72580 129124 161405 322810 324509 645620 649018 1298036 1622545 3245090 6165671 6490180 12331342 24662684 30828355 61656710 123313420