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10103022 = 2331943229
BaseRepresentation
bin100110100010…
…100011101110
3201000021202000
4212202203232
510041244042
61000313130
7151605606
oct46424356
921007660
1010103022
115780606
1234727a6
132129727
1414adc06
15d4874c
hex9a28ee

10103022 has 64 divisors (see below), whose sum is σ = 24288000. Its totient is φ = 3102624.

The previous prime is 10103017. The next prime is 10103029. The reversal of 10103022 is 22030101.

It is a happy number.

10103022 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102995 and 10103013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10103029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44004 + ... + 44232.

It is an arithmetic number, because the mean of its divisors is an integer number (379500).

Almost surely, 210103022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10103022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12144000).

10103022 is an abundant number, since it is smaller than the sum of its proper divisors (14184978).

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

10103022 is a wasteful number, since it uses less digits than its factorization.

10103022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 10103022 is about 3178.5251296789. The cubic root of 10103022 is about 216.1807899963.

Adding to 10103022 its reverse (22030101), we get a palindrome (32133123).

The spelling of 10103022 in words is "ten million, one hundred three thousand, twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 43 54 57 86 114 129 171 229 258 342 387 458 513 687 774 817 1026 1161 1374 1634 2061 2322 2451 4122 4351 4902 6183 7353 8702 9847 12366 13053 14706 19694 22059 26106 29541 39159 44118 59082 78318 88623 117477 177246 187093 234954 265869 374186 531738 561279 1122558 1683837 3367674 5051511 10103022