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1240220421 = 32111923109263
BaseRepresentation
bin100100111101100…
…0100001100000101
310012102200201120200
41021323010030011
510014444023141
6323022121113
742506461656
oct11173041405
93172621520
101240220421
11587087a60
122a7420199
13169c3744b
14ba9dd52d
1573d32ab6
hex49ec4305

1240220421 has 96 divisors (see below), whose sum is σ = 2174515200. Its totient is φ = 672312960.

The previous prime is 1240220413. The next prime is 1240220437.

1240220421 is a `hidden beast` number, since 1 + 24 + 0 + 220 + 421 = 666.

1240220421 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1240220421 - 23 = 1240220413 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1240220394 and 1240220403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1240220621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4715536 + ... + 4715798.

It is an arithmetic number, because the mean of its divisors is an integer number (22651200).

Almost surely, 21240220421 is an apocalyptic number.

1240220421 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1240220421 is a deficient number, since it is larger than the sum of its proper divisors (934294779).

1240220421 is a wasteful number, since it uses less digits than its factorization.

1240220421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1240220421 is about 35216.7633521310. The cubic root of 1240220421 is about 1074.4007248657.

It can be divided in two parts, 12402 and 20421, that added together give a palindrome (32823).

The spelling of 1240220421 in words is "one billion, two hundred forty million, two hundred twenty thousand, four hundred twenty-one".

Divisors: 1 3 9 11 19 23 33 57 69 99 109 171 207 209 253 263 327 437 627 759 789 981 1199 1311 1881 2071 2277 2367 2507 2893 3597 3933 4807 4997 6049 6213 7521 8679 10791 14421 14991 18147 18639 22563 22781 26037 27577 28667 43263 44973 47633 54441 54967 66539 68343 82731 86001 114931 142899 164901 199617 205029 248193 258003 315337 344793 428697 494703 523963 544673 598851 659341 946011 1034379 1264241 1571889 1634019 1978023 2838033 3792723 4715667 4902057 5934069 5991403 7252751 11378169 12527479 17974209 21758253 37582437 53922627 65274759 112747311 137802269 413406807 1240220421