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11012100122112 = 29312795605423
BaseRepresentation
bin1010000000111111010001…
…0100001110011000000000
31102222202011012011120101020
42200033310110032120000
52420410240112401422
635230520003105440
72214412051421265
oct240176424163000
942882135146336
1011012100122112
113566229485831
12129a276072280
1361b58a242b1b
142a0dba5b726c
151416b3b0595c
hexa03f450e600

11012100122112 has 80 divisors (see below), whose sum is σ = 29359865610240. Its totient is φ = 3667829409792.

The previous prime is 11012100122087. The next prime is 11012100122119. The reversal of 11012100122112 is 21122100121011.

It is a happy number.

It is a super-2 number, since 2×110121001221122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11012100122091 and 11012100122100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11012100122119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 838168 + ... + 4767255.

It is an arithmetic number, because the mean of its divisors is an integer number (366998320128).

Almost surely, 211012100122112 is an apocalyptic number.

11012100122112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11012100122112 is an abundant number, since it is smaller than the sum of its proper divisors (18347765488128).

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

11012100122112 is an equidigital number, since it uses as much as digits as its factorization.

11012100122112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5606723 (or 5606707 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 11012100122112 its reverse (21122100121011), we get a palindrome (32134200243123).

The spelling of 11012100122112 in words is "eleven trillion, twelve billion, one hundred million, one hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1279 1536 2558 3837 5116 7674 10232 15348 20464 30696 40928 61392 81856 122784 163712 245568 327424 491136 654848 982272 1964544 5605423 11210846 16816269 22421692 33632538 44843384 67265076 89686768 134530152 179373536 269060304 358747072 538120608 717494144 1076241216 1434988288 2152482432 2869976576 4304964864 7169336017 8609929728 14338672034 21508008051 28677344068 43016016102 57354688136 86032032204 114709376272 172064064408 229418752544 344128128816 458837505088 688256257632 917675010176 1376512515264 1835350020352 2753025030528 3670700040704 5506050061056 11012100122112