Search a number
-
+
10214262454130 = 2571731276884317
BaseRepresentation
bin1001010010100011000101…
…1111000011011101110010
31100011110210111211200021122
42110220301133003131302
52314322302142013010
633420211205022242
72102645642222240
oct224506137033562
940143714750248
1010214262454130
113288931963099
12118b7139b4982
1359127c269867
142745314c5790
1512aa6a58e855
hex94a317c3772

10214262454130 has 64 divisors (see below), whose sum is σ = 22965892872192. Its totient is φ = 3189707320320.

The previous prime is 10214262454093. The next prime is 10214262454139. The reversal of 10214262454130 is 3145426241201.

It is a happy number.

10214262454130 is digitally balanced in base 2, 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 (35).

It is not an unprimeable number, because it can be changed into a prime (10214262454139) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138405269 + ... + 138479048.

It is an arithmetic number, because the mean of its divisors is an integer number (358842076128).

Almost surely, 210214262454130 is an apocalyptic number.

10214262454130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10214262454130 is an abundant number, since it is smaller than the sum of its proper divisors (12751630418062).

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

10214262454130 is a wasteful number, since it uses less digits than its factorization.

10214262454130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276884379.

The product of its (nonzero) digits is 46080, while the sum is 35.

Adding to 10214262454130 its reverse (3145426241201), we get a palindrome (13359688695331).

The spelling of 10214262454130 in words is "ten trillion, two hundred fourteen billion, two hundred sixty-two million, four hundred fifty-four thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 31 34 35 62 70 85 119 155 170 217 238 310 434 527 595 1054 1085 1190 2170 2635 3689 5270 7378 18445 36890 276884317 553768634 1384421585 1938190219 2768843170 3876380438 4707033389 8583413827 9414066778 9690951095 17166827654 19381902190 23535166945 32949233723 42917069135 47070333890 60083896789 65898467446 85834138270 120167793578 145918035059 164746168615 291836070118 300419483945 329492337230 600838967890 729590175295 1021426245413 1459180350590 2042852490826 5107131227065 10214262454130