| Base | Representation |
|---|---|
| bin | 111011101110110… |
| … | …010011100111100 |
| 3 | 2120211200000121100 |
| 4 | 323232302130330 |
| 5 | 4023020333040 |
| 6 | 243234533100 |
| 7 | 33555613425 |
| oct | 7356623474 |
| 9 | 2524600540 |
| 10 | 1002121020 |
| 11 | 47474239a |
| 12 | 23b737190 |
| 13 | 12c800724 |
| 14 | 9714064c |
| 15 | 5ce9eb30 |
| hex | 3bbb273c |
1002121020 has 108 divisors (see below), whose sum is σ = 3113136936. Its totient is φ = 260930880.
The previous prime is 1002121007. The next prime is 1002121031. The reversal of 1002121020 is 201212001.
It is a super-4 number, since 4×10021210204 (a number of 37 digits) contains 4444 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 = 1002120993 and 1002121011.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (19) of ones.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 331315 + ... + 334325.
It is an arithmetic number, because the mean of its divisors is an integer number (28825342).
Almost surely, 21002121020 is an apocalyptic number.
1002121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 1002121020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1556568468).
1002121020 is an abundant number, since it is smaller than the sum of its proper divisors (2111015916).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1002121020 is a wasteful number, since it uses less digits than its factorization.
1002121020 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3112 (or 3064 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 1002121020 is about 31656.2951085562. The cubic root of 1002121020 is about 1000.7065073964.
Adding to 1002121020 its reverse (201212001), we get a palindrome (1203333021).
The spelling of 1002121020 in words is "one billion, two million, one hundred twenty-one thousand, twenty".
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