| Base | Representation |
|---|---|
| bin | 1001001101001111001110… |
| … | …1010110000001000000000 |
| 3 | 1022211202022102210122011000 |
| 4 | 2103103303222300020000 |
| 5 | 2311323431420120112 |
| 6 | 33310242314452000 |
| 7 | 2063236100636640 |
| oct | 223236352601000 |
| 9 | 38752272718130 |
| 10 | 10123031020032 |
| 11 | 3253176116377 |
| 12 | 1175ab2734000 |
| 13 | 5857a0298468 |
| 14 | 26dd58c34520 |
| 15 | 1284cb0687dc |
| hex | 934f3ab0200 |
10123031020032 has 320 divisors, whose sum is σ = 34323020328960. Its totient is φ = 2885753475072.
The previous prime is 10123031020009. The next prime is 10123031020043. The reversal of 10123031020032 is 23002013032101.
10123031020032 is a `hidden beast` number, since 1 + 0 + 123 + 0 + 310 + 200 + 32 = 666.
It is a super-2 number, since 2×101230310200322 (a number of 27 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 = 10123031019987 and 10123031020014.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 42750153 + ... + 42986295.
It is an arithmetic number, because the mean of its divisors is an integer number (107259438528).
Almost surely, 210123031020032 is an apocalyptic number.
10123031020032 is a gapful number since it is divisible by the number (12) 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 10123031020032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17161510164480).
10123031020032 is an abundant number, since it is smaller than the sum of its proper divisors (24199989308928).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10123031020032 is an equidigital number, since it uses as much as digits as its factorization.
10123031020032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 236620 (or 236598 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 10123031020032 its reverse (23002013032101), we get a palindrome (33125044052133).
The spelling of 10123031020032 in words is "ten trillion, one hundred twenty-three billion, thirty-one million, twenty thousand, thirty-two".
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