Search a number
-
+
112021212210210 = 232517928612430451
BaseRepresentation
bin11001011110000111111000…
…100011111010010000100010
3112200122010022212220120010100
4121132013320203322100202
5104140323420311211320
61034125500124043230
732411160032033232
oct3136077043722042
9480563285816110
10112021212210210
1132769a249a6516
1210692565393516
134a6772a3bb4b4
141d93bd9aa3cc2
15ce3ddeaa9790
hex65e1f88fa422

112021212210210 has 96 divisors (see below), whose sum is σ = 292984766642880. Its totient is φ = 29695043664000.

The previous prime is 112021212210151. The next prime is 112021212210241. The reversal of 112021212210210 is 12012212120211.

112021212210210 is a `hidden beast` number, since 1 + 1 + 20 + 212 + 1 + 221 + 0 + 210 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44875485 + ... + 47305935.

It is an arithmetic number, because the mean of its divisors is an integer number (3051924652530).

Almost surely, 2112021212210210 is an apocalyptic number.

112021212210210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112021212210210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146492383321440).

112021212210210 is an abundant number, since it is smaller than the sum of its proper divisors (180963554432670).

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

112021212210210 is a wasteful number, since it uses less digits than its factorization.

112021212210210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433504 (or 2433501 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112021212210210 its reverse (12012212120211), we get a palindrome (124033424330421).

The spelling of 112021212210210 in words is "one hundred twelve trillion, twenty-one billion, two hundred twelve million, two hundred ten thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 179 358 537 895 1074 1611 1790 2685 2861 3222 5370 5722 8055 8583 14305 16110 17166 25749 28610 42915 51498 85830 128745 257490 512119 1024238 1536357 2430451 2560595 3072714 4609071 4860902 5121190 7291353 7681785 9218142 12152255 14582706 15363570 21874059 23045355 24304510 36456765 43748118 46090710 72913530 109370295 218740590 435050729 870101458 1305152187 2175253645 2610304374 3915456561 4350507290 6525760935 6953520311 7830913122 13051521870 13907040622 19577282805 20860560933 34767601555 39154565610 41721121866 62581682799 69535203110 104302804665 125163365598 208605609330 312908413995 625816827990 1244680135669 2489360271338 3734040407007 6223400678345 7468080814014 11202121221021 12446801356690 18670202035035 22404242442042 37340404070070 56010606105105 112021212210210