Search a number
-
+
10422422422401 = 3117511049400903
BaseRepresentation
bin1001011110101010100011…
…0010010100001110000001
31100220101002112112200220010
42113222220302110032001
52331230110120004101
634055554511335133
72123665225604223
oct227525062241601
940811075480803
1010422422422401
113359140822220
121203b282214a9
135a7aa3cab012
1428063b1d2413
151311a00ac2d6
hex97aa8c94381

10422422422401 has 32 divisors (see below), whose sum is σ = 15194582323200. Its totient is φ = 6302179440000.

The previous prime is 10422422422397. The next prime is 10422422422459.

10422422422401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10422422422401 - 22 = 10422422422397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10422422426401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25796916 + ... + 26197818.

It is an arithmetic number, because the mean of its divisors is an integer number (474830697600).

Almost surely, 210422422422401 is an apocalyptic number.

10422422422401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10422422422401 is a deficient number, since it is larger than the sum of its proper divisors (4772159900799).

10422422422401 is a wasteful number, since it uses less digits than its factorization.

10422422422401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402717.

The product of its (nonzero) digits is 16384, while the sum is 30.

It can be divided in two parts, 1042242 and 2422401, that added together give a palindrome (3464643).

The spelling of 10422422422401 in words is "ten trillion, four hundred twenty-two billion, four hundred twenty-two million, four hundred twenty-two thousand, four hundred one".

Divisors: 1 3 11 33 751 1049 2253 3147 8261 11539 24783 34617 400903 787799 1202709 2363397 4409933 8665789 13229799 25997367 301078153 420547247 903234459 1261641741 3311859683 4626019717 9935579049 13878059151 315830982497 947492947491 3474140807467 10422422422401