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103213220 = 22511617691
BaseRepresentation
bin1100010011011…
…10100010100100
321012012202220212
412021232202210
5202410310340
614124114552
72362204115
oct611564244
9235182825
10103213220
1153296690
122a695a58
13184ca216
14d9ca20c
1590dba65
hex626e8a4

103213220 has 48 divisors (see below), whose sum is σ = 240359616. Its totient is φ = 36912000.

The previous prime is 103213219. The next prime is 103213223. The reversal of 103213220 is 22312301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103213195 and 103213204.

It is not an unprimeable number, because it can be changed into a prime (103213223) 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, 9575 + ... + 17265.

It is an arithmetic number, because the mean of its divisors is an integer number (5007492).

Almost surely, 2103213220 is an apocalyptic number.

103213220 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 103213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120179808).

103213220 is an abundant number, since it is smaller than the sum of its proper divisors (137146396).

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

103213220 is a wasteful number, since it uses less digits than its factorization.

103213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7772 (or 7770 counting only the distinct ones).

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

The square root of 103213220 is about 10159.3907297633. The cubic root of 103213220 is about 469.0780478188.

Adding to 103213220 its reverse (22312301), we get a palindrome (125525521).

The spelling of 103213220 in words is "one hundred three million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 6710 7691 13420 15382 30764 38455 76910 84601 153820 169202 338404 423005 469151 846010 938302 1692020 1876604 2345755 4691510 5160661 9383020 10321322 20642644 25803305 51606610 103213220