Search a number
-
+
11010212112 = 24317191514703
BaseRepresentation
bin10100100000100001…
…01000000100010000
31001102022122201121210
422100100220010100
5140022103241422
65020311020120
7536562154524
oct122020500420
931368581553
1011010212112
11473aa83359
12217336a640
131066091913
147663abd84
1544690a10c
hex290428110

11010212112 has 160 divisors (see below), whose sum is σ = 31917957120. Its totient is φ = 3250022400.

The previous prime is 11010212071. The next prime is 11010212149. The reversal of 11010212112 is 21121201011.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2338753 + ... + 2343455.

It is an arithmetic number, because the mean of its divisors is an integer number (199487232).

Almost surely, 211010212112 is an apocalyptic number.

11010212112 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 11010212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15958978560).

11010212112 is an abundant number, since it is smaller than the sum of its proper divisors (20907745008).

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

11010212112 is a wasteful number, since it uses less digits than its factorization.

11010212112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4901 (or 4895 counting only the distinct ones).

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

Adding to 11010212112 its reverse (21121201011), we get a palindrome (32131413123).

The spelling of 11010212112 in words is "eleven billion, ten million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 34 38 48 51 57 68 76 102 114 136 151 152 204 228 272 302 304 323 408 453 456 604 646 816 906 912 969 1208 1292 1812 1938 2416 2567 2584 2869 3624 3876 4703 5134 5168 5738 7248 7701 7752 8607 9406 10268 11476 14109 15402 15504 17214 18812 20536 22952 28218 30804 34428 37624 41072 45904 48773 56436 61608 68856 75248 79951 89357 97546 112872 123216 137712 146319 159902 178714 195092 225744 239853 268071 292638 319804 357428 390184 479706 536142 585276 639608 710153 714856 780368 959412 1072284 1170552 1279216 1420306 1429712 1519069 1918824 2130459 2144568 2341104 2840612 3038138 3837648 4260918 4289136 4557207 5681224 6076276 8521836 9114414 11362448 12072601 12152552 13492907 17043672 18228828 24145202 24305104 26985814 34087344 36217803 36457656 40478721 48290404 53971628 72435606 72915312 80957442 96580808 107943256 144871212 161914884 193161616 215886512 229379419 289742424 323829768 458758838 579484848 647659536 688138257 917517676 1376276514 1835035352 2752553028 3670070704 5505106056 11010212112