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11011211000010 = 2335133137097151
BaseRepresentation
bin1010000000111011111101…
…0100011111100011001010
31102222122212020010111011000
42200032333110133203022
52420401430004000020
635230251442115430
72214351034126464
oct240167724374312
942878766114130
1011011211000010
113565912603181
12129a06834bb76
1361b477c87780
142a0d3448d134
15141660a27090
hexa03bf51f8ca

11011211000010 has 64 divisors (see below), whose sum is σ = 31621939292160. Its totient is φ = 2710451937600.

The previous prime is 11011210999973. The next prime is 11011211000039. The reversal of 11011211000010 is 1000011211011.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 11011210999956 and 11011211000001.

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 31 ways as a sum of consecutive naturals, for example, 1568545066 + ... + 1568552085.

It is an arithmetic number, because the mean of its divisors is an integer number (494092801440).

Almost surely, 211011211000010 is an apocalyptic number.

11011211000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11011211000010 is an abundant number, since it is smaller than the sum of its proper divisors (20610728292150).

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

11011211000010 is a wasteful number, since it uses less digits than its factorization.

11011211000010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3137097180 (or 3137097174 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 11011211000010 its reverse (1000011211011), we get a palindrome (12011222211021).

The spelling of 11011211000010 in words is "eleven trillion, eleven billion, two hundred eleven million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 3137097151 6274194302 9411291453 15685485755 18822582906 28233874359 31370971510 40782262963 47056457265 56467748718 81564525926 84701623077 94112914530 122346788889 141169371795 169403246154 203911314815 244693577778 282338743590 367040366667 407822629630 423508115385 611733944445 734080733334 847016230770 1101121100001 1223467888890 1835201833335 2202242200002 3670403666670 5505605500005 11011211000010