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10113012 = 22347413
BaseRepresentation
bin100110100100…
…111111110100
3201000210110000
4212210333310
510042104022
61000431300
7151650000
oct46447764
921023400
1010113012
115788068
123478530
132131140
1414b3700
15d4b6ac
hex9a4ff4

10113012 has 150 divisors (see below), whose sum is σ = 33214258. Its totient is φ = 2667168.

The previous prime is 10113001. The next prime is 10113017. The reversal of 10113012 is 21031101.

It can be written as a sum of positive squares in only one way, i.e., 7001316 + 3111696 = 2646^2 + 1764^2 .

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 = 10112985 and 10113003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113017) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 777918 + ... + 777930.

Almost surely, 210113012 is an apocalyptic number.

10113012 is a gapful number since it is divisible by the number (12) 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 10113012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16607129).

10113012 is an abundant number, since it is smaller than the sum of its proper divisors (23101246).

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

10113012 is an equidigital number, since it uses as much as digits as its factorization.

10113012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 25 counting only the distinct ones).

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

The square root of 10113012 is about 3180.0962249592. The cubic root of 10113012 is about 216.2520206523.

Adding to 10113012 its reverse (21031101), we get a palindrome (31144113).

The spelling of 10113012 in words is "ten million, one hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 49 52 54 63 78 81 84 91 98 108 117 126 147 156 162 182 189 196 234 252 273 294 324 343 351 364 378 441 468 546 567 588 637 686 702 756 819 882 1029 1053 1092 1134 1274 1323 1372 1404 1638 1764 1911 2058 2106 2268 2401 2457 2548 2646 3087 3276 3822 3969 4116 4212 4459 4802 4914 5292 5733 6174 7203 7371 7644 7938 8918 9261 9604 9828 11466 12348 13377 14406 14742 15876 17199 17836 18522 21609 22932 26754 27783 28812 29484 31213 34398 37044 40131 43218 51597 53508 55566 62426 64827 68796 80262 86436 93639 103194 111132 120393 124852 129654 160524 187278 194481 206388 240786 259308 280917 361179 374556 388962 481572 561834 722358 777924 842751 1123668 1444716 1685502 2528253 3371004 5056506 10113012