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20220202010120 = 2357210316429597
BaseRepresentation
bin1001001100011111000011…
…11101010100011000001000
32122121000212122101122012012
410212033201331110120020
510122241433203310440
6111001011011235052
74154601312151400
oct446174175243010
978530778348165
1020220202010120
116496380993472
1223269888a8a88
13b389abab9a48
144dc93d3ab800
15250e91b7ae65
hex1263e1f54608

20220202010120 has 48 divisors (see below), whose sum is σ = 52923283837740. Its totient is φ = 6932640688512.

The previous prime is 20220202010093. The next prime is 20220202010123. The reversal of 20220202010120 is 2101020202202.

20220202010120 is digitally balanced in base 5, 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 2 ways, for example, as 18694053090244 + 1526148919876 = 4323662^2 + 1235374^2 .

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 20220202010095 and 20220202010104.

It is not an unprimeable number, because it can be changed into a prime (20220202010123) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5158212839 + ... + 5158216758.

Almost surely, 220220202010120 is an apocalyptic number.

20220202010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20220202010120 is an abundant number, since it is smaller than the sum of its proper divisors (32703081827620).

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

20220202010120 is a wasteful number, since it uses less digits than its factorization.

20220202010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10316429622 (or 10316429611 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20220202010120 its reverse (2101020202202), we get a palindrome (22321222212322).

The spelling of 20220202010120 in words is "twenty trillion, two hundred twenty billion, two hundred two million, ten thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 10316429597 20632859194 41265718388 51582147985 72215007179 82531436776 103164295970 144430014358 206328591940 288860028716 361075035895 412657183880 505505050253 577720057432 722150071790 1011010100506 1444300143580 2022020201012 2527525251265 2888600287160 4044040402024 5055050502530 10110101005060 20220202010120