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10101149440 = 2857891523
BaseRepresentation
bin10010110100001001…
…10100111100000000
3222001222002120001221
421122010310330000
5131141343240230
64350154404424
7505213232164
oct113204647400
928058076057
1010101149440
114313921098
121b5aa30714
13c4c944205
146bb772ca4
153e1bdd27a
hex25a134f00

10101149440 has 36 divisors (see below), whose sum is σ = 24195412584. Its totient is φ = 4040459264.

The previous prime is 10101149423. The next prime is 10101149447. The reversal of 10101149440 is 4494110101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101149447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3944482 + ... + 3947041.

It is an arithmetic number, because the mean of its divisors is an integer number (672094794).

Almost surely, 210101149440 is an apocalyptic number.

10101149440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101149440 is an abundant number, since it is smaller than the sum of its proper divisors (14094263144).

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

10101149440 is an frugal number, since it uses more digits than its factorization.

10101149440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7891544 (or 7891530 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 10101149440 its reverse (4494110101), we get a palindrome (14595259541).

The spelling of 10101149440 in words is "ten billion, one hundred one million, one hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 7891523 15783046 31566092 39457615 63132184 78915230 126264368 157830460 252528736 315660920 505057472 631321840 1010114944 1262643680 2020229888 2525287360 5050574720 10101149440