Search a number
-
+
10212111120211 = 7111321088372109
BaseRepresentation
bin1001010010011011000101…
…0000010111011101010011
31100011021020120201120221121
42110212301100113131103
52314303400421321321
633415213514303111
72102541430203550
oct224466120273523
940137216646847
1010212111120211
113287a28553080
12118b213427a97
13590cc8647400
142743a98b5a27
1512a991787441
hex949b1417753

10212111120211 has 48 divisors (see below), whose sum is σ = 13788161176320. Its totient is φ = 7344597836160.

The previous prime is 10212111120193. The next prime is 10212111120251. The reversal of 10212111120211 is 11202111121201.

It is not a de Polignac number, because 10212111120211 - 211 = 10212111118163 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10212111120251) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 141584425 + ... + 141656533.

It is an arithmetic number, because the mean of its divisors is an integer number (287253357840).

Almost surely, 210212111120211 is an apocalyptic number.

10212111120211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10212111120211 is a deficient number, since it is larger than the sum of its proper divisors (3576050056109).

10212111120211 is a wasteful number, since it uses less digits than its factorization.

10212111120211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83036 (or 83023 counting only the distinct ones).

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

Adding to 10212111120211 its reverse (11202111121201), we get a palindrome (21414222241412).

The spelling of 10212111120211 in words is "ten trillion, two hundred twelve billion, one hundred eleven million, one hundred twenty thousand, two hundred eleven".

Divisors: 1 7 11 13 77 91 143 169 1001 1183 1859 10883 13013 72109 76181 119713 141479 504763 793199 837991 937417 990353 1556269 1839227 5552393 6561919 10311587 10893883 12186421 12874589 20231497 72181109 85304947 134050631 141620479 784762247 938354417 5493335729 8632384717 10201909211 60426693019 71413364477 112221001321 132624819743 785547009247 928373738201 1458873017173 10212111120211