| Base | Representation |
|---|---|
| bin | 10011000001001111… |
| … | …11010100111001100 |
| 3 | 222100121211002211100 |
| 4 | 21200213322213030 |
| 5 | 131403004323040 |
| 6 | 4405121223100 |
| 7 | 511016106300 |
| oct | 114047724714 |
| 9 | 28317732740 |
| 10 | 10211011020 |
| 11 | 436a938791 |
| 12 | 1b8b791a90 |
| 13 | c6962b572 |
| 14 | 6cc1add00 |
| 15 | 3eb68eb30 |
| hex | 2609fa9cc |
10211011020 has 108 divisors (see below), whose sum is σ = 36030312864. Its totient is φ = 2333943360.
The previous prime is 10211010967. The next prime is 10211011021. The reversal of 10211011020 is 2011011201.
It is a happy number.
10211011020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×102110110202 (a number of 21 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 10211010993 and 10211011011.
It is not an unprimeable number, because it can be changed into a prime (10211011021) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 570036 + ... + 587675.
It is an arithmetic number, because the mean of its divisors is an integer number (333614008).
Almost surely, 210211011020 is an apocalyptic number.
10211011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
10211011020 is an abundant number, since it is smaller than the sum of its proper divisors (25819301844).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10211011020 is a wasteful number, since it uses less digits than its factorization.
10211011020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1157740 (or 1157728 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 9.
Adding to 10211011020 its reverse (2011011201), we get a palindrome (12222022221).
It can be divided in two parts, 1021101 and 1020, that added together give a square (1022121 = 10112).
The spelling of 10211011020 in words is "ten billion, two hundred eleven million, eleven thousand, twenty".
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