Search a number
-
+
10145665570141 = 712274231148783
BaseRepresentation
bin1001001110100011100011…
…0010101101010101011101
31022220220201212200220201201
42103220320302231111131
52312211310341221031
633324504315435501
72065000023303643
oct223507062552535
938826655626651
1010145665570141
113261830798932
12117a36aa55b91
1358796972208a
142710a4d93193
15128da323bd61
hex93a38cad55d

10145665570141 has 16 divisors (see below), whose sum is σ = 10336398225408. Its totient is φ = 9956283145200.

The previous prime is 10145665570121. The next prime is 10145665570171. The reversal of 10145665570141 is 14107556654101.

It is a cyclic number.

It is not a de Polignac number, because 10145665570141 - 223 = 10145657181533 is a prime.

It is a super-2 number, since 2×101456655701412 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10145665570091 and 10145665570100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10145665570121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68116636 + ... + 68265418.

It is an arithmetic number, because the mean of its divisors is an integer number (646024889088).

Almost surely, 210145665570141 is an apocalyptic number.

It is an amenable number.

10145665570141 is a deficient number, since it is larger than the sum of its proper divisors (190732655267).

10145665570141 is a wasteful number, since it uses less digits than its factorization.

10145665570141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153312.

The product of its (nonzero) digits is 504000, while the sum is 46.

The spelling of 10145665570141 in words is "ten trillion, one hundred forty-five billion, six hundred sixty-five million, five hundred seventy thousand, one hundred forty-one".

Divisors: 1 71 227 4231 16117 148783 300401 960437 10563593 33773741 68191027 629500873 2397935611 44694561983 142896698171 10145665570141