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10111131344 = 2417194919073
BaseRepresentation
bin10010110101010101…
…11001111011010000
3222002122212200200002
421122222321323100
5131201422200334
64351152345132
7505364125016
oct113252717320
928078780602
1010111131344
1143195196a6
121b622451a8
13c51a2a772
146bcc108b6
153e2a10b7e
hex25aab9ed0

10111131344 has 40 divisors (see below), whose sum is σ = 20754419400. Its totient is φ = 4755488768.

The previous prime is 10111131341. The next prime is 10111131347. The reversal of 10111131344 is 44313111101.

It is an interprime number because it is at equal distance from previous prime (10111131341) and next prime (10111131347).

It can be written as a sum of positive squares in 4 ways, for example, as 1310440000 + 8800691344 = 36200^2 + 93812^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111131341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520592 + ... + 539664.

It is an arithmetic number, because the mean of its divisors is an integer number (518860485).

Almost surely, 210111131344 is an apocalyptic number.

It is an amenable number.

10111131344 is an abundant number, since it is smaller than the sum of its proper divisors (10643288056).

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

10111131344 is a wasteful number, since it uses less digits than its factorization.

10111131344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21047 (or 21041 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10111131344 its reverse (44313111101), we get a palindrome (54424242445).

The spelling of 10111131344 in words is "ten billion, one hundred eleven million, one hundred thirty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 1949 3898 7796 15592 19073 31184 33133 38146 66266 76292 132532 152584 265064 305168 324241 530128 648482 1296964 2593928 5187856 37173277 74346554 148693108 297386216 594772432 631945709 1263891418 2527782836 5055565672 10111131344