Base | Representation |
---|---|
bin | 10111010000101101001100… |
… | …101001101100101111011000 |
3 | 111102020002012202220120000000 |
4 | 113100231030221230233120 |
5 | 101402113233134214000 |
6 | 1001325222330213000 |
7 | 30356104325264220 |
oct | 2720551451545730 |
9 | 442202182816000 |
10 | 102303112023000 |
11 | 2a662562778199 |
12 | b583041284160 |
13 | 45111b0183535 |
14 | 1b396d5c4b080 |
15 | bc621327c000 |
hex | 5d0b4ca6cbd8 |
102303112023000 has 3072 divisors, whose sum is σ = 459193093632000. Its totient is φ = 20832613171200.
The previous prime is 102303112022989. The next prime is 102303112023001. The reversal of 102303112023000 is 320211303201.
102303112023000 is a `hidden beast` number, since 1 + 0 + 2 + 30 + 311 + 20 + 2 + 300 + 0 = 666.
102303112023000 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (102303112023001) by changing a digit.
It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 84061718392 + ... + 84061719608.
It is an arithmetic number, because the mean of its divisors is an integer number (149476918500).
Almost surely, 2102303112023000 is an apocalyptic number.
102303112023000 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 102303112023000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229596546816000).
102303112023000 is an abundant number, since it is smaller than the sum of its proper divisors (356889981609000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
102303112023000 is a wasteful number, since it uses less digits than its factorization.
102303112023000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1319 (or 1270 counting only the distinct ones).
The product of its (nonzero) digits is 216, while the sum is 18.
Adding to 102303112023000 its reverse (320211303201), we get a palindrome (102623323326201).
The spelling of 102303112023000 in words is "one hundred two trillion, three hundred three billion, one hundred twelve million, twenty-three thousand".
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