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10010112 = 2937319
BaseRepresentation
bin100110001011…
…111000000000
3200211120021220
4212023320000
510030310422
6554315040
7151041000
oct46137000
920746256
1010010112
115717822
123428a80
1320c6358
141488000
15d2ae5c
hex98be00

10010112 has 160 divisors (see below), whose sum is σ = 32736000. Its totient is φ = 2709504.

The previous prime is 10010101. The next prime is 10010113. The reversal of 10010112 is 21101001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10010112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10010113) 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, 526839 + ... + 526857.

It is an arithmetic number, because the mean of its divisors is an integer number (204600).

Almost surely, 210010112 is an apocalyptic number.

10010112 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 10010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16368000).

10010112 is an abundant number, since it is smaller than the sum of its proper divisors (22725888).

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

10010112 is an frugal number, since it uses more digits than its factorization.

10010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 10010112 is about 3163.8761037689. The cubic root of 10010112 is about 215.5160633515.

Adding to 10010112 its reverse (21101001), we get a palindrome (31111113).

Multiplying 10010112 by its reverse (21101001), we get a palindrome (211223383322112).

The spelling of 10010112 in words is "ten million, ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 32 38 42 48 49 56 57 64 76 84 96 98 112 114 128 133 147 152 168 192 196 224 228 256 266 294 304 336 343 384 392 399 448 456 512 532 588 608 672 686 768 784 798 896 912 931 1029 1064 1176 1216 1344 1372 1536 1568 1596 1792 1824 1862 2058 2128 2352 2432 2688 2744 2793 3136 3192 3584 3648 3724 4116 4256 4704 4864 5376 5488 5586 6272 6384 6517 7296 7448 8232 8512 9408 9728 10752 10976 11172 12544 12768 13034 14592 14896 16464 17024 18816 19551 21952 22344 25088 25536 26068 29184 29792 32928 34048 37632 39102 43904 44688 51072 52136 59584 65856 68096 75264 78204 87808 89376 102144 104272 119168 131712 156408 175616 178752 204288 208544 238336 263424 312816 357504 417088 476672 526848 625632 715008 834176 1251264 1430016 1668352 2502528 3336704 5005056 10010112