Search a number
-
+
1022312412301 = 17863148147051
BaseRepresentation
bin11101110000001101001…
…00010111010010001101
310121201202201011102001211
432320012210113102031
5113222143434143201
62101351022534421
7133600566061525
oct16700644272215
93551681142054
101022312412301
11364618783564
1214616a437411
1375532a7317b
14376a18ac685
151b8d5506651
hexee0691748d

1022312412301 has 16 divisors (see below), whose sum is σ = 1084457507328. Its totient is φ = 960392128000.

The previous prime is 1022312412259. The next prime is 1022312412311. The reversal of 1022312412301 is 1032142132201.

It is a cyclic number.

It is not a de Polignac number, because 1022312412301 - 215 = 1022312379533 is a prime.

It is a super-2 number, since 2×10223124123012 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022312412311) 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 15 ways as a sum of consecutive naturals, for example, 21704226 + ... + 21751276.

It is an arithmetic number, because the mean of its divisors is an integer number (67778594208).

Almost surely, 21022312412301 is an apocalyptic number.

It is an amenable number.

1022312412301 is a deficient number, since it is larger than the sum of its proper divisors (62145095027).

1022312412301 is a wasteful number, since it uses less digits than its factorization.

1022312412301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49412.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 1022312412301 its reverse (1032142132201), we get a palindrome (2054454544502).

The spelling of 1022312412301 in words is "one trillion, twenty-two billion, three hundred twelve million, four hundred twelve thousand, three hundred one".

Divisors: 1 17 863 1481 14671 25177 47051 799867 1278103 21727751 40605013 69682531 690285221 1184603027 60136024253 1022312412301