Base | Representation |
---|---|
bin | 11100110111111110… |
… | …111101011010010100 |
3 | 2222000201112112012200 |
4 | 130313332331122110 |
5 | 1001444012204140 |
6 | 22124255444500 |
7 | 2145210561630 |
oct | 346776753224 |
9 | 88021475180 |
10 | 31004022420 |
11 | 1216aa64a28 |
12 | 6013226730 |
13 | 2c013b00c7 |
14 | 1701921dc0 |
15 | c16d52030 |
hex | 737fbd694 |
31004022420 has 144 divisors (see below), whose sum is σ = 108841474560. Its totient is φ = 6996907008.
The previous prime is 31004022383. The next prime is 31004022451. The reversal of 31004022420 is 2422040013.
It is a super-2 number, since 2×310040224202 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a junction number, because it is equal to n+sod(n) for n = 31004022393 and 31004022402.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (23) of ones.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56197 + ... + 255276.
Almost surely, 231004022420 is an apocalyptic number.
31004022420 is a gapful number since it is divisible by the number (30) 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 31004022420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54420737280).
31004022420 is an abundant number, since it is smaller than the sum of its proper divisors (77837452140).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31004022420 is a wasteful number, since it uses less digits than its factorization.
31004022420 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 311574 (or 311569 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 18.
Adding to 31004022420 its reverse (2422040013), we get a palindrome (33426062433).
The spelling of 31004022420 in words is "thirty-one billion, four million, twenty-two thousand, four hundred twenty".
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