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103114220 = 22511835647
BaseRepresentation
bin1100010010101…
…10010111101100
321012000202010012
412021112113230
5202344123340
614122032352
72361312356
oct611262754
9235022105
10103114220
1153229270
122a6486b8
1318494141
14d9a20d6
1590bc565
hex62565ec

103114220 has 48 divisors (see below), whose sum is σ = 239113728. Its totient is φ = 37037760.

The previous prime is 103114213. The next prime is 103114229. The reversal of 103114220 is 22411301.

It is a junction number, because it is equal to n+sod(n) for n = 103114195 and 103114204.

It is not an unprimeable number, because it can be changed into a prime (103114229) 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, 15437 + ... + 21083.

It is an arithmetic number, because the mean of its divisors is an integer number (4981536).

Almost surely, 2103114220 is an apocalyptic number.

103114220 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 103114220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119556864).

103114220 is an abundant number, since it is smaller than the sum of its proper divisors (135999508).

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

103114220 is a wasteful number, since it uses less digits than its factorization.

103114220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5750 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 103114220 is about 10154.5172214143. The cubic root of 103114220 is about 468.9280231665.

Adding to 103114220 its reverse (22411301), we get a palindrome (125525521).

It can be divided in two parts, 1031 and 14220, that added together give a palindrome (15251).

The spelling of 103114220 in words is "one hundred three million, one hundred fourteen thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 220 332 415 830 913 1660 1826 3652 4565 5647 9130 11294 18260 22588 28235 56470 62117 112940 124234 248468 310585 468701 621170 937402 1242340 1874804 2343505 4687010 5155711 9374020 10311422 20622844 25778555 51557110 103114220