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11102112120 = 2335118410691
BaseRepresentation
bin10100101011011110…
…01100100101111000
31001122201120201201210
422111233030211320
5140214120041440
65033352443120
7542056252551
oct122557144570
931581521653
1011102112120
114787942180
12219a0a94a0
13107c12a618
14774691328
1544ea0ea80
hex295bcc978

11102112120 has 64 divisors (see below), whose sum is σ = 36334189440. Its totient is φ = 2691420800.

The previous prime is 11102112107. The next prime is 11102112127. The reversal of 11102112120 is 2121120111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 11102112096 and 11102112105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11102112127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4204026 + ... + 4206665.

It is an arithmetic number, because the mean of its divisors is an integer number (567721710).

Almost surely, 211102112120 is an apocalyptic number.

11102112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11102112120 is an abundant number, since it is smaller than the sum of its proper divisors (25232077320).

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

11102112120 is a wasteful number, since it uses less digits than its factorization.

11102112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8410716 (or 8410712 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11102112120 its reverse (2121120111), we get a palindrome (13223232231).

The spelling of 11102112120 in words is "eleven billion, one hundred two million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 8410691 16821382 25232073 33642764 42053455 50464146 67285528 84106910 92517601 100928292 126160365 168213820 185035202 201856584 252320730 277552803 336427640 370070404 462588005 504641460 555105606 740140808 925176010 1009282920 1110211212 1387764015 1850352020 2220422424 2775528030 3700704040 5551056060 11102112120