Search a number
-
+
10434241221001 = 13171925761715671
BaseRepresentation
bin1001011111010110100100…
…1111011101000110001001
31100221111121012200212122121
42113311221033131012021
52331423311223033001
634105231345251241
72124564140000053
oct227655117350611
940844535625577
1010434241221001
113363156170574
121206286333b21
135a8c3873ab80
1428103cb228d3
151316429886a1
hex97d693dd189

10434241221001 has 64 divisors (see below), whose sum is σ = 12593984094720. Its totient is φ = 8540108881920.

The previous prime is 10434241220993. The next prime is 10434241221013. The reversal of 10434241221001 is 10012214243401.

It is a cyclic number.

It is not a de Polignac number, because 10434241221001 - 23 = 10434241220993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10434241281001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 665823396 + ... + 665839066.

It is an arithmetic number, because the mean of its divisors is an integer number (196781001480).

Almost surely, 210434241221001 is an apocalyptic number.

It is an amenable number.

10434241221001 is a deficient number, since it is larger than the sum of its proper divisors (2159742873719).

10434241221001 is a wasteful number, since it uses less digits than its factorization.

10434241221001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16594.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10434241221001 its reverse (10012214243401), we get a palindrome (20446455464402).

The spelling of 10434241221001 in words is "ten trillion, four hundred thirty-four billion, two hundred forty-one million, two hundred twenty-one thousand, one".

Divisors: 1 13 17 19 221 247 257 323 617 3341 4199 4369 4883 8021 10489 11723 15671 56797 63479 83011 136357 152399 158569 199291 203723 266407 297749 1079143 2061397 2590783 2695673 3012811 3463291 3870737 4027447 5061733 9669007 35043749 39166543 51217787 52356811 65802529 68466599 76521493 125697091 164373119 183711133 665831231 890065787 994779409 1300865381 2136850547 2388244729 2484934799 3123089261 16911249953 32304152387 40600160393 42243891583 47213761181 549170590579 613778895353 802633940077 10434241221001