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110200102122020 = 225101137398208073
BaseRepresentation
bin11001000011100111110101…
…111100001111001000100100
3112110012000201120222210200112
4121003213311330033020210
5103421004302120401040
61030213121130432152
732132460155504441
oct3103476574171044
9473160646883615
10110200102122020
1132127667812159
1210439627292658
134964a957c7c61
141d2d9db8069c8
15cb1856b0a365
hex6439f5f0f224

110200102122020 has 48 divisors (see below), whose sum is σ = 235417427684208. Its totient is φ = 43325038233600.

The previous prime is 110200102122013. The next prime is 110200102122023. The reversal of 110200102122020 is 20221201002011.

110200102122020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4063417387264 + 106136684734756 = 2015792^2 + 10302266^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110200102121986 and 110200102122004.

It is not an unprimeable number, because it can be changed into a prime (110200102122023) 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, 198827297 + ... + 199380776.

It is an arithmetic number, because the mean of its divisors is an integer number (4904529743421).

Almost surely, 2110200102122020 is an apocalyptic number.

110200102122020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110200102122020 is an abundant number, since it is smaller than the sum of its proper divisors (125217325562188).

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

110200102122020 is a wasteful number, since it uses less digits than its factorization.

110200102122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398208320 (or 398208318 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 110200102122020 its reverse (20221201002011), we get a palindrome (130421303124031).

The spelling of 110200102122020 in words is "one hundred ten trillion, two hundred billion, one hundred two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 101 137 202 274 404 505 548 685 1010 1370 2020 2740 13837 27674 55348 69185 138370 276740 398208073 796416146 1592832292 1991040365 3982080730 7964161460 40219015373 54554506001 80438030746 109109012002 160876061492 201095076865 218218024004 272772530005 402190153730 545545060010 804380307460 1091090120020 5510005106101 11020010212202 22040020424404 27550025530505 55100051061010 110200102122020