Search a number
-
+
11100121000212 = 22319371737775721
BaseRepresentation
bin1010000110000111001011…
…0001001110100100010100
31110022011100111222110122110
42201201302301032210110
52423331021434001322
635335154124031020
72223646226510166
oct241416261164424
943264314873573
1011100121000212
11359a597a1a292
1212b3340092470
1362697701aa4a
142a536a6d2936
15143b16345c0c
hexa1872c4e914

11100121000212 has 96 divisors (see below), whose sum is σ = 28002286372480. Its totient is φ = 3410322186240.

The previous prime is 11100121000201. The next prime is 11100121000217. The reversal of 11100121000212 is 21200012100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11100121000217) 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, 146554512 + ... + 146630232.

Almost surely, 211100121000212 is an apocalyptic number.

11100121000212 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 11100121000212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14001143186240).

11100121000212 is an abundant number, since it is smaller than the sum of its proper divisors (16902165372268).

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

11100121000212 is a wasteful number, since it uses less digits than its factorization.

11100121000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93161 (or 93159 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11100121000212 its reverse (21200012100111), we get a palindrome (32300133100323).

The spelling of 11100121000212 in words is "eleven trillion, one hundred billion, one hundred twenty-one million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 19 37 38 57 74 76 111 114 148 222 228 444 703 1406 2109 2812 4218 8436 17377 34754 52131 69508 75721 104262 151442 208524 227163 302884 330163 454326 642949 660326 908652 990489 1285898 1320652 1438699 1928847 1980978 2571796 2801677 2877398 3857694 3961956 4316097 5603354 5754796 7715388 8405031 8632194 11206708 12216031 16810062 17264388 24432062 33620124 36648093 48864124 53231863 73296186 106463726 146592372 159695589 212927452 319391178 638782356 1315803817 2631607634 3947411451 5263215268 7894822902 15789645804 25000272523 48684741229 50000545046 75000817569 97369482458 100001090092 146054223687 150001635138 194738964916 292108447374 300003270276 584216894748 925010083351 1850020166702 2775030250053 3700040333404 5550060500106 11100121000212