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110202120021220 = 225291011881224309
BaseRepresentation
bin11001000011101001101110…
…001101111010010011100100
3112110012012221020000200222221
4121003221232031322103210
5103421022420211134340
61030214053253202124
732132561160405463
oct3103515615722344
9473165836020887
10110202120021220
1132128502874747
1210439aab030344
13496502789b456
141d2db4d8009da
15cb1923d5644a
hex643a6e37a4e4

110202120021220 has 48 divisors (see below), whose sum is σ = 241774948321200. Its totient is φ = 42139424499200.

The previous prime is 110202120021193. The next prime is 110202120021221. The reversal of 110202120021220 is 22120021202011.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 21782401134244 + 88419718886976 = 4667162^2 + 9403176^2 .

It is a junction number, because it is equal to n+sod(n) for n = 110202120021194 and 110202120021203.

It is not an unprimeable number, because it can be changed into a prime (110202120021221) 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, 940553575 + ... + 940670734.

It is an arithmetic number, because the mean of its divisors is an integer number (5036978090025).

Almost surely, 2110202120021220 is an apocalyptic number.

110202120021220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

110202120021220 is an abundant number, since it is smaller than the sum of its proper divisors (131572828299980).

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

110202120021220 is a wasteful number, since it uses less digits than its factorization.

110202120021220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881224448 (or 1881224446 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 110202120021220 its reverse (22120021202011), we get a palindrome (132322141223231).

The spelling of 110202120021220 in words is "one hundred ten trillion, two hundred two billion, one hundred twenty million, twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 101 116 145 202 290 404 505 580 1010 2020 2929 5858 11716 14645 29290 58580 1881224309 3762448618 7524897236 9406121545 18812243090 37624486180 54555504961 109111009922 190003655209 218222019844 272777524805 380007310418 545555049610 760014620836 950018276045 1091110099220 1900036552090 3800073104180 5510106001061 11020212002122 22040424004244 27550530005305 55101060010610 110202120021220