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110000111012020 = 225101108457502093
BaseRepresentation
bin11001000000101101100101…
…100010101100100010110100
3112102110220111212102202222101
4121000231211202230202310
5103404220211404341040
61025541204155111444
732112150203225005
oct3100554542544264
9472426455382871
10110000111012020
113205a86aa73169
1210406912742584
13494bc7329c348
141d2406899b1ac
15cab54e34009a
hex640b658ac8b4

110000111012020 has 48 divisors (see below), whose sum is σ = 233289979746768. Its totient is φ = 43563911961600.

The previous prime is 110000111011969. The next prime is 110000111012023. The reversal of 110000111012020 is 20210111000011.

It can be written as a sum of positive squares in 8 ways, for example, as 2826393091344 + 107173717920676 = 1681188^2 + 10352474^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 110000111011988 and 110000111012006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110000111012023) 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, 218832094 + ... + 219334186.

It is an arithmetic number, because the mean of its divisors is an integer number (4860207911391).

Almost surely, 2110000111012020 is an apocalyptic number.

110000111012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110000111012020 is an abundant number, since it is smaller than the sum of its proper divisors (123289868734748).

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

110000111012020 is a wasteful number, since it uses less digits than its factorization.

110000111012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610660 (or 610658 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 110000111012020 its reverse (20210111000011), we get a palindrome (130210222012031).

The spelling of 110000111012020 in words is "one hundred ten trillion, one hundred eleven million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 108457 216914 433828 502093 542285 1004186 1084570 2008372 2169140 2510465 5020930 10041860 10954157 21908314 43816628 50711393 54770785 101422786 109541570 202845572 219083140 253556965 507113930 1014227860 54455500501 108911001002 217822002004 272277502505 544555005010 1089110010020 5500005550601 11000011101202 22000022202404 27500027753005 55000055506010 110000111012020