| Base | Representation |
|---|---|
| bin | 1110000110010000000100… |
| … | …10001010011001111011100 |
| 3 | 11001202200021210121021101200 |
| 4 | 13003020002101103033130 |
| 5 | 13030410234140012340 |
| 6 | 145533414140235500 |
| 7 | 6346520312303541 |
| oct | 703100221231734 |
| 9 | 131680253537350 |
| 10 | 31001112032220 |
| 11 | 99725525aa240 |
| 12 | 358828183bb90 |
| 13 | 143b513c0c305 |
| 14 | 792667384bc8 |
| 15 | 38b623ea1330 |
| hex | 1c32024533dc |
31001112032220 has 576 divisors, whose sum is σ = 113375902348800. Its totient is φ = 6771741419520.
The previous prime is 31001112032171. The next prime is 31001112032237. The reversal of 31001112032220 is 2223021110013.
31001112032220 is a `hidden beast` number, since 310 + 0 + 1 + 1 + 12 + 0 + 322 + 20 = 666.
It is a super-2 number, since 2×310011120322202 (a number of 28 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 = 31001112032193 and 31001112032202.
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 191 ways as a sum of consecutive naturals, for example, 72883602 + ... + 73307718.
It is an arithmetic number, because the mean of its divisors is an integer number (196833163800).
Almost surely, 231001112032220 is an apocalyptic number.
31001112032220 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 31001112032220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56687951174400).
31001112032220 is an abundant number, since it is smaller than the sum of its proper divisors (82374790316580).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31001112032220 is a wasteful number, since it uses less digits than its factorization.
31001112032220 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 424258 (or 424253 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 18.
Adding to 31001112032220 its reverse (2223021110013), we get a palindrome (33224133142233).
The spelling of 31001112032220 in words is "thirty-one trillion, one billion, one hundred twelve million, thirty-two thousand, two hundred twenty".
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