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10011100212 = 22323743277631
BaseRepresentation
bin10010101001011010…
…10100010000110100
3221211200122120202100
421110231110100310
5131000320201322
64333220342100
7503040643041
oct112455242064
927750576670
1010011100212
114278006843
121b34844930
13c370a5a49
146ad8121c8
153d8d51dac
hex254b54434

10011100212 has 144 divisors (see below), whose sum is σ = 26732497792. Its totient is φ = 3154878720.

The previous prime is 10011100189. The next prime is 10011100219. The reversal of 10011100212 is 21200111001.

It is a happy number.

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 = 10011100194 and 10011100203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011100219) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15865137 + ... + 15865767.

Almost surely, 210011100212 is an apocalyptic number.

10011100212 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 10011100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13366248896).

10011100212 is an abundant number, since it is smaller than the sum of its proper divisors (16721397580).

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

10011100212 is a wasteful number, since it uses less digits than its factorization.

10011100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 998 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011100212 its reverse (21200111001), we get a palindrome (31211211213).

The spelling of 10011100212 in words is "ten billion, eleven million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 37 43 74 86 111 129 148 172 222 258 277 333 387 444 516 554 631 666 774 831 1108 1262 1332 1548 1591 1662 1893 2493 2524 3182 3324 3786 4773 4986 5679 6364 7572 9546 9972 10249 11358 11911 14319 19092 20498 22716 23347 23822 27133 28638 30747 35733 40996 46694 47644 54266 57276 61494 70041 71466 81399 92241 93388 107199 108532 122988 140082 142932 162798 174787 184482 210123 214398 244197 280164 325596 349574 368964 420246 428796 440707 488394 524361 699148 840492 881414 976788 1003921 1048722 1322121 1573083 1762828 2007842 2097444 2644242 3011763 3146166 3966363 4015684 5288484 6023526 6292332 6467119 7515841 7932726 9035289 12047052 12934238 15031682 15865452 18070578 19401357 22547523 25868476 30063364 36141156 38802714 45095046 58204071 67642569 77605428 90190092 116408142 135285138 232816284 270570276 278086117 556172234 834258351 1112344468 1668516702 2502775053 3337033404 5005550106 10011100212