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1121100112110 = 2351137101909091
BaseRepresentation
bin10000010100000110110…
…001100010000011101110
310222011202101122112002110
4100110012301202003232
5121332003112041420
62215005402104450
7143665622502246
oct20240661420356
93864671575073
101121100112110
113a2501871580
1216133a1ab126
1381947372904
143c39391ab26
151e2680c5ee0
hex10506c620ee

1121100112110 has 128 divisors (see below), whose sum is σ = 3044425471488. Its totient is φ = 261817920000.

The previous prime is 1121100112109. The next prime is 1121100112141. The reversal of 1121100112110 is 112110011211.

It is a super-2 number, since 2×11211001121102 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 778665 + ... + 1687755.

It is an arithmetic number, because the mean of its divisors is an integer number (23784573996).

Almost surely, 21121100112110 is an apocalyptic number.

1121100112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1121100112110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1522212735744).

1121100112110 is an abundant number, since it is smaller than the sum of its proper divisors (1923325359378).

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

1121100112110 is a wasteful number, since it uses less digits than its factorization.

1121100112110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 909250.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1121100112110 its reverse (112110011211), we get a palindrome (1233210123321).

The spelling of 1121100112110 in words is "one trillion, one hundred twenty-one billion, one hundred million, one hundred twelve thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 101 110 111 165 185 202 222 303 330 370 407 505 555 606 814 1010 1110 1111 1221 1515 2035 2222 2442 3030 3333 3737 4070 5555 6105 6666 7474 11110 11211 12210 16665 18685 22422 33330 37370 41107 56055 82214 112110 123321 205535 246642 411070 616605 909091 1233210 1818182 2727273 4545455 5454546 9090910 10000001 13636365 20000002 27272730 30000003 33636367 50000005 60000006 67272734 91818191 100000010 100909101 150000015 168181835 183636382 201818202 275454573 300000030 336363670 370000037 459090955 504545505 550909146 740000074 918181910 1009091010 1010000101 1110000111 1377272865 1850000185 2020000202 2220000222 2754545730 3030000303 3397273067 3700000370 5050000505 5550000555 6060000606 6794546134 10100001010 10191819201 11100001110 15150001515 16986365335 20383638402 30300003030 33972730670 37370003737 50959096005 74740007474 101918192010 112110011211 186850018685 224220022422 373700037370 560550056055 1121100112110