Search a number
-
+
10202321144232 = 23327172234370823
BaseRepresentation
bin1001010001110110100110…
…1110100100100110101000
31100010022222022011021121200
42110131221232210212220
52314123323203103412
633410514233204200
72102044012605540
oct224355156444650
940108868137550
1010202321144232
113283864348238
121189340860660
135900c8313a09
14273b1b5c4320
1512a5bc0639dc
hex94769ba49a8

10202321144232 has 576 divisors, whose sum is σ = 35818495764480. Its totient is φ = 2563135432704.

The previous prime is 10202321144207. The next prime is 10202321144237. The reversal of 10202321144232 is 23244112320201.

10202321144232 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 2 + 3 + 211 + 442 + 3 + 2 = 666.

It is a super-3 number, since 3×102023211442323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10202321144196 and 10202321144205.

It is not an unprimeable number, because it can be changed into a prime (10202321144237) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 144018373 + ... + 144089195.

It is an arithmetic number, because the mean of its divisors is an integer number (62184888480).

Almost surely, 210202321144232 is an apocalyptic number.

10202321144232 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 10202321144232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909247882240).

10202321144232 is an abundant number, since it is smaller than the sum of its proper divisors (25616174620248).

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

10202321144232 is a wasteful number, since it uses less digits than its factorization.

10202321144232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70942 (or 70918 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 10202321144232 its reverse (23244112320201), we get a palindrome (33446433464433).

The spelling of 10202321144232 in words is "ten trillion, two hundred two billion, three hundred twenty-one million, one hundred forty-four thousand, two hundred thirty-two".