Base | Representation |
---|---|
bin | 101111100000110000… |
… | …1011101101110011000 |
3 | 100202100201101000000210 |
4 | 1133001201131232120 |
5 | 3132424420214000 |
6 | 114512234531120 |
7 | 10241265246234 |
oct | 1370141355630 |
9 | 322321330023 |
10 | 102031023000 |
11 | 3a2a8941805 |
12 | 17935b96aa0 |
13 | 98105295ba |
14 | 4d1cab35c4 |
15 | 29c26c9350 |
hex | 17c185db98 |
102031023000 has 128 divisors (see below), whose sum is σ = 318598038720. Its totient is φ = 27185945600.
The previous prime is 102031022983. The next prime is 102031023047. The reversal of 102031023000 is 320130201.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (12).
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 31 ways as a sum of consecutive naturals, for example, 3817684 + ... + 3844316.
Almost surely, 2102031023000 is an apocalyptic number.
102031023000 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 102031023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159299019360).
102031023000 is an abundant number, since it is smaller than the sum of its proper divisors (216567015720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102031023000 is a wasteful number, since it uses less digits than its factorization.
102031023000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 27934 (or 27920 counting only the distinct ones).
The product of its (nonzero) digits is 36, while the sum is 12.
Adding to 102031023000 its reverse (320130201), we get a palindrome (102351153201).
It can be divided in two parts, 10203 and 1023000, that added together give a triangular number (1033203 = T1437).
The spelling of 102031023000 in words is "one hundred two billion, thirty-one million, twenty-three thousand".
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