Search a number
-
+
11112101010010 = 25711136311759271
BaseRepresentation
bin1010000110110011110011…
…0101010101101001011010
31110100022021102111000121001
42201230330311111221122
52424030040324310020
635344455001135214
72224552136065360
oct241547465255132
943308242430531
1011112101010010
1135a4685367a30
1212b572418a50a
13627b35ca3740
142a5b857c9630
151440b7e6850a
hexa1b3cd55a5a

11112101010010 has 128 divisors (see below), whose sum is σ = 26898114797568. Its totient is φ = 3192019488000.

The previous prime is 11112101009957. The next prime is 11112101010037. The reversal of 11112101010010 is 1001010121111.

It is a Harshad number since it is a multiple of its sum of digits (10).

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 63 ways as a sum of consecutive naturals, for example, 5436675 + ... + 7195945.

It is an arithmetic number, because the mean of its divisors is an integer number (210141521856).

Almost surely, 211112101010010 is an apocalyptic number.

11112101010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11112101010010 is an abundant number, since it is smaller than the sum of its proper divisors (15786013787558).

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

11112101010010 is a wasteful number, since it uses less digits than its factorization.

11112101010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759940.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 11112101010010 its reverse (1001010121111), we get a palindrome (12113111131121).

It can be divided in two parts, 111 and 12101010010, that added together give a palindrome (12101010121).

The spelling of 11112101010010 in words is "eleven trillion, one hundred twelve billion, one hundred one million, ten thousand, ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 631 715 770 910 1001 1262 1430 2002 3155 4417 5005 6310 6941 8203 8834 10010 13882 16406 22085 34705 41015 44170 48587 57421 69410 82030 90233 97174 114842 180466 242935 287105 451165 485870 574210 631631 902330 1263262 1759271 3158155 3518542 6316310 8796355 12314897 17592710 19351981 22870523 24629794 38703962 45741046 61574485 96759905 114352615 123148970 135463867 160093661 193519810 228705230 251575753 270927734 320187322 503151506 677319335 800468305 1110100001 1257878765 1354638670 1600936610 1761030271 2220200002 2515757530 3522060542 5550500005 7770700007 8805151355 11101000010 12211100011 14431300013 15541400014 17610302710 24422200022 28862600026 38853500035 61055500055 72156500065 77707000070 85477700077 101019100091 122111000110 144313000130 158744300143 170955400154 202038200182 317488600286 427388500385 505095500455 793721500715 854777000770 1010191000910 1111210101001 1587443001430 2222420202002 5556050505005 11112101010010