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10112310 = 2335134367
BaseRepresentation
bin100110100100…
…110100110110
3201000202111000
4212210310312
510042043220
61000424130
7151644645
oct46446466
921022430
1010112310
11578758a
123478046
132130a20
1414b335c
15d4b390
hex9a4d36

10112310 has 128 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 2395008.

The previous prime is 10112299. The next prime is 10112321. The reversal of 10112310 is 1321101.

10112310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10112299) and next prime (10112321).

It is a super-2 number, since 2×101123102 = 204517627072200, which contains 22 as substring.

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

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10112292 and 10112301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 150897 + ... + 150963.

It is an arithmetic number, because the mean of its divisors is an integer number (235620).

Almost surely, 210112310 is an apocalyptic number.

10112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

10112310 is an abundant number, since it is smaller than the sum of its proper divisors (20047050).

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

10112310 is a wasteful number, since it uses less digits than its factorization.

10112310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 10112310 is about 3179.9858490251. The cubic root of 10112310 is about 216.2470167876.

Adding to 10112310 its reverse (1321101), we get a palindrome (11433411).

It can be divided in two parts, 1011 and 2310, that added together give a triangular number (3321 = T81).

The spelling of 10112310 in words is "ten million, one hundred twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 43 45 54 65 67 78 86 90 117 129 130 134 135 195 201 215 234 258 270 335 351 387 390 402 430 559 585 603 645 670 702 774 871 1005 1118 1161 1170 1206 1290 1677 1742 1755 1809 1935 2010 2322 2613 2795 2881 3015 3354 3510 3618 3870 4355 5031 5226 5590 5762 5805 6030 7839 8385 8643 8710 9045 10062 11610 13065 14405 15093 15678 16770 17286 18090 23517 25155 25929 26130 28810 30186 37453 39195 43215 47034 50310 51858 74906 75465 77787 78390 86430 112359 117585 129645 150930 155574 187265 224718 235170 259290 337077 374530 388935 561795 674154 777870 1011231 1123590 1685385 2022462 3370770 5056155 10112310