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123213020 = 22576411373
BaseRepresentation
bin1110101100000…
…01010011011100
322120211212111012
413112001103130
5223020304040
620120514352
73024202430
oct726012334
9276755435
10123213020
1163606847
123531b9b8
131c6b0518
14125149c0
15ac3c865
hex75814dc

123213020 has 48 divisors (see below), whose sum is σ = 296388288. Its totient is φ = 42147840.

The previous prime is 123213019. The next prime is 123213037. The reversal of 123213020 is 20312321.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 123212986 and 123213004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 89054 + ... + 90426.

It is an arithmetic number, because the mean of its divisors is an integer number (6174756).

Almost surely, 2123213020 is an apocalyptic number.

123213020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123213020 is an abundant number, since it is smaller than the sum of its proper divisors (173175268).

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

123213020 is a wasteful number, since it uses less digits than its factorization.

123213020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2030 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 123213020 is about 11100.1360352025. The cubic root of 123213020 is about 497.6059150102.

Adding to 123213020 its reverse (20312321), we get a palindrome (143525341).

The spelling of 123213020 in words is "one hundred twenty-three million, two hundred thirteen thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 641 1282 1373 2564 2746 3205 4487 5492 6410 6865 8974 9611 12820 13730 17948 19222 22435 27460 38444 44870 48055 89740 96110 192220 880093 1760186 3520372 4400465 6160651 8800930 12321302 17601860 24642604 30803255 61606510 123213020