Search a number
-
+
10202303121120 = 2534511219932693
BaseRepresentation
bin1001010001110110100010…
…1001110100011011100000
31100010022221001020121120000
42110131220221310123200
52314123304044333440
633410512351020000
72102043403452165
oct224355051643340
940108831217500
1010202303121120
113283855158200
12118933680a600
135900c4673356
14273b1905206c
1512a5ba6a3730
hex94768a746e0

10202303121120 has 720 divisors, whose sum is σ = 39776527375200. Its totient is φ = 2460781762560.

The previous prime is 10202303121091. The next prime is 10202303121137. The reversal of 10202303121120 is 2112130320201.

10202303121120 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 230 + 312 + 1 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 = 10202303121093 and 10202303121102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 312047494 + ... + 312080186.

It is an arithmetic number, because the mean of its divisors is an integer number (55245176910).

Almost surely, 210202303121120 is an apocalyptic number.

10202303121120 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 10202303121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19888263687600).

10202303121120 is an abundant number, since it is smaller than the sum of its proper divisors (29574224254080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10202303121120 is a wasteful number, since it uses less digits than its factorization.

10202303121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32941 (or 32913 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 10202303121120 its reverse (2112130320201), we get a palindrome (12314433441321).

The spelling of 10202303121120 in words is "ten trillion, two hundred two billion, three hundred three million, one hundred twenty-one thousand, one hundred twenty".