Search a number
-
+
211112134100021 = 7111747273009241
BaseRepresentation
bin110000000000000101011111…
…110000101100010000110101
31000200111010022121101020010102
4300000011133300230100311
5210132330122312200041
62024555324152003445
762316230325601430
oct6000053760542065
91020433277336112
10211112134100021
11612a31760212a0
121b816b42690585
1390a4a34079bbb
143a1bc4b984817
15196179ed9209b
hexc0015fc2c435

211112134100021 has 48 divisors (see below), whose sum is σ = 284743052687232. Its totient is φ = 151532137804800.

The previous prime is 211112134099991. The next prime is 211112134100033. The reversal of 211112134100021 is 120001431211112.

It is a happy number.

It is not a de Polignac number, because 211112134100021 - 242 = 206714087588917 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211112134099966 and 211112134100002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211112134102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33613040 + ... + 39396201.

It is an arithmetic number, because the mean of its divisors is an integer number (5932146930984).

Almost surely, 2211112134100021 is an apocalyptic number.

It is an amenable number.

211112134100021 is a deficient number, since it is larger than the sum of its proper divisors (73630918587211).

211112134100021 is a wasteful number, since it uses less digits than its factorization.

211112134100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73009370 (or 73009323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 211112134100021 its reverse (120001431211112), we get a palindrome (331113565311133).

The spelling of 211112134100021 in words is "two hundred eleven trillion, one hundred twelve billion, one hundred thirty-four million, one hundred thousand, twenty-one".

Divisors: 1 7 11 17 47 77 119 187 329 517 799 1309 2209 3619 5593 8789 15463 24299 37553 61523 170093 262871 413083 2891581 73009241 511064687 803101651 1241157097 3431434327 5621711557 8688099679 13652728067 24020040289 37745777597 58334383559 95569096469 161277413369 264220443179 408340684913 641678219149 1128941893583 1774051547059 2741716027273 4491747534043 12418360829413 19192012190911 30158876300003 211112134100021