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10144334020 = 22510715131393
BaseRepresentation
bin10010111001010011…
…00100000011000100
3222011222100120011211
421130221210003010
5131233422142040
64354340141204
7506246262562
oct113451440304
928158316154
1010144334020
114336237327
121b71397804
13c58884412
146c33b4a32
153e58bd8ea
hex25ca640c4

10144334020 has 48 divisors (see below), whose sum is σ = 21645283968. Its totient is φ = 3993062400.

The previous prime is 10144333981. The next prime is 10144334029. The reversal of 10144334020 is 2043344101.

It is a junction number, because it is equal to n+sod(n) for n = 10144333982 and 10144334000.

It is not an unprimeable number, because it can be changed into a prime (10144334029) 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 15 ways as a sum of consecutive naturals, for example, 307444 + ... + 338836.

It is an arithmetic number, because the mean of its divisors is an integer number (450943416).

Almost surely, 210144334020 is an apocalyptic number.

10144334020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10144334020 is an abundant number, since it is smaller than the sum of its proper divisors (11500949948).

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

10144334020 is a wasteful number, since it uses less digits than its factorization.

10144334020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31660 (or 31658 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10144334020 its reverse (2043344101), we get a palindrome (12187678121).

The spelling of 10144334020 in words is "ten billion, one hundred forty-four million, three hundred thirty-four thousand, twenty".

Divisors: 1 2 4 5 10 20 107 151 214 302 428 535 604 755 1070 1510 2140 3020 16157 31393 32314 62786 64628 80785 125572 156965 161570 313930 323140 627860 3359051 4740343 6718102 9480686 13436204 16795255 18961372 23701715 33590510 47403430 67181020 94806860 507216701 1014433402 2028866804 2536083505 5072167010 10144334020