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11022220101101 = 1133760120992357
BaseRepresentation
bin1010000001100100111110…
…0000111000010111101101
31110000201021110200202201212
42200121033200320113231
52421042001321213401
635235312113244205
72215220614006226
oct240311740702755
943021243622655
1011022220101101
11356a551997830
1212a021b263665
1361c510a4a781
142a169a64c24d
15141aa72b2dbb
hexa064f8385ed

11022220101101 has 32 divisors (see below), whose sum is σ = 12090869481600. Its totient is φ = 9964862208000.

The previous prime is 11022220101089. The next prime is 11022220101107. The reversal of 11022220101101 is 10110102222011.

It is a cyclic number.

It is not a de Polignac number, because 11022220101101 - 222 = 11022215906797 is a prime.

It is a super-2 number, since 2×110222201011012 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022220101107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4676375615 + ... + 4676377971.

It is an arithmetic number, because the mean of its divisors is an integer number (377839671300).

Almost surely, 211022220101101 is an apocalyptic number.

11022220101101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

11022220101101 is a deficient number, since it is larger than the sum of its proper divisors (1068649380499).

11022220101101 is a wasteful number, since it uses less digits than its factorization.

11022220101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 11022220101101 its reverse (10110102222011), we get a palindrome (21132322323112).

The spelling of 11022220101101 in words is "eleven trillion, twenty-two billion, two hundred twenty million, one hundred one thousand, one hundred one".

Divisors: 1 11 337 601 2099 2357 3707 6611 23089 25927 202537 707363 794309 1261499 1416557 2227907 4947343 7780993 8737399 13876489 15582127 54420773 425125163 477379709 1667254591 2973353143 4676376793 5251176799 18339800501 32706884573 1002020009191 11022220101101