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103213420 = 22523593803
BaseRepresentation
bin1100010011011…
…10100101101100
321012012210012021
412021232211230
5202410312140
614124115524
72362204522
oct611564554
9235183167
10103213420
1153296852
122a695ba4
13184ca33b
14d9ca312
1590dbb4a
hex626e96c

103213420 has 48 divisors (see below), whose sum is σ = 230065920. Its totient is φ = 38810816.

The previous prime is 103213381. The next prime is 103213423. The reversal of 103213420 is 24312301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103213394 and 103213403.

It is not an unprimeable number, because it can be changed into a prime (103213423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25239 + ... + 29041.

It is an arithmetic number, because the mean of its divisors is an integer number (4793040).

Almost surely, 2103213420 is an apocalyptic number.

103213420 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 103213420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115032960).

103213420 is an abundant number, since it is smaller than the sum of its proper divisors (126852500).

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

103213420 is a wasteful number, since it uses less digits than its factorization.

103213420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3894 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 103213420 is about 10159.4005728685. The cubic root of 103213420 is about 469.0783508018.

Adding to 103213420 its reverse (24312301), we get a palindrome (127525721).

The spelling of 103213420 in words is "one hundred three million, two hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 23 46 59 92 115 118 230 236 295 460 590 1180 1357 2714 3803 5428 6785 7606 13570 15212 19015 27140 38030 76060 87469 174938 224377 349876 437345 448754 874690 897508 1121885 1749380 2243770 4487540 5160671 10321342 20642684 25803355 51606710 103213420