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10201130250 = 235382116567
BaseRepresentation
bin10011000000000100…
…01110010100001010
3222022221020002221220
421200002032110022
5131342442132000
64404125342510
7510536114343
oct114002162412
928287202856
1010201130250
1143652aa163
121b88407a36
13c6757c05c
146cab5b0ca
153ea88c1a0
hex26008e50a

10201130250 has 64 divisors (see below), whose sum is σ = 25494573312. Its totient is φ = 2716824000.

The previous prime is 10201130243. The next prime is 10201130293. The reversal of 10201130250 is 5203110201.

10201130250 is digitally balanced in base 5, 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 (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 607467 + ... + 624033.

It is an arithmetic number, because the mean of its divisors is an integer number (398352708).

Almost surely, 210201130250 is an apocalyptic number.

10201130250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201130250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12747286656).

10201130250 is an abundant number, since it is smaller than the sum of its proper divisors (15293443062).

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

10201130250 is a wasteful number, since it uses less digits than its factorization.

10201130250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17408 (or 17398 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

Adding to 10201130250 its reverse (5203110201), we get a palindrome (15404240451).

The spelling of 10201130250 in words is "ten billion, two hundred one million, one hundred thirty thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 125 150 250 375 750 821 1642 2463 4105 4926 8210 12315 16567 20525 24630 33134 41050 49701 61575 82835 99402 102625 123150 165670 205250 248505 307875 414175 497010 615750 828350 1242525 2070875 2485050 4141750 6212625 12425250 13601507 27203014 40804521 68007535 81609042 136015070 204022605 340037675 408045210 680075350 1020113025 1700188375 2040226050 3400376750 5100565125 10201130250