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11210121210112 = 2811131151201247
BaseRepresentation
bin1010001100100000111101…
…0010101110100100000000
31110200200021121210002221121
42203020033102232210000
52432131312012210422
635501505242202024
72234622153043456
oct243101722564400
943620247702847
1011210121210112
1136322051a3070
12131071aab3314
1363415758c346
142aa80392c9d6
151469034808c7
hexa320f4ae900

11210121210112 has 144 divisors (see below), whose sum is σ = 24760034095104. Its totient is φ = 5023100160000.

The previous prime is 11210121210109. The next prime is 11210121210163. The reversal of 11210121210112 is 21101212101211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 55602673 + ... + 55803919.

It is an arithmetic number, because the mean of its divisors is an integer number (171944681216).

Almost surely, 211210121210112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11210121210112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12380017047552).

11210121210112 is an abundant number, since it is smaller than the sum of its proper divisors (13549912884992).

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

11210121210112 is a wasteful number, since it uses less digits than its factorization.

11210121210112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 201556 (or 201542 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 16.

Adding to 11210121210112 its reverse (21101212101211), we get a palindrome (32311333311323).

The spelling of 11210121210112 in words is "eleven trillion, two hundred ten billion, one hundred twenty-one million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 131 151 176 256 262 302 352 524 604 704 1048 1208 1408 1441 1661 2096 2416 2816 2882 3322 4192 4832 5764 6644 8384 9664 11528 13288 16768 19328 19781 23056 26576 33536 38656 39562 46112 53152 79124 92224 106304 158248 184448 201247 212608 217591 316496 368896 402494 425216 435182 632992 804988 870364 1265984 1609976 1740728 2213717 2531968 3219952 3481456 4427434 5063936 6439904 6962912 8854868 12879808 13925824 17709736 25759616 26363357 27851648 30388297 35419472 51519232 52726714 55703296 60776594 70838944 105453428 121553188 141677888 210906856 243106376 283355776 289996927 334271267 421813712 486212752 566711552 579993854 668542534 843627424 972425504 1159987708 1337085068 1687254848 1944851008 2319975416 2674170136 3374509696 3889702016 3980866907 4639950832 5348340272 6749019392 7779404032 7961733814 9279901664 10696680544 15923467628 18559803328 21393361088 31846935256 37119606656 42786722176 43789535977 63693870512 74239213312 85573444352 87579071954 127387741024 175158143908 254775482048 350316287816 509550964096 700632575632 1019101928192 1401265151264 2802530302528 5605060605056 11210121210112