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2243011201431 = 3711133720187121
BaseRepresentation
bin100000101000111101111…
…000101100100110010111
321221102121022021221202220
4200220331320230212113
5243222141331421211
64434231454233423
7321023623430550
oct40507570544627
97842538257686
102243011201431
1179528a391250
12302863ab5873
1313369073c9a0
147a7c301d327
153d52c491806
hex20a3de2c997

2243011201431 has 64 divisors (see below), whose sum is σ = 4123986779136. Its totient is φ = 1046500300800.

The previous prime is 2243011201351. The next prime is 2243011201513. The reversal of 2243011201431 is 1341021103422.

2243011201431 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2243011201431 - 217 = 2243011070359 is a prime.

It is a super-2 number, since 2×22430112014312 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2243011202431) 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, 9982450 + ... + 10204671.

It is an arithmetic number, because the mean of its divisors is an integer number (64437293424).

Almost surely, 22243011201431 is an apocalyptic number.

2243011201431 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2243011201431 is a deficient number, since it is larger than the sum of its proper divisors (1880975577705).

2243011201431 is a wasteful number, since it uses less digits than its factorization.

2243011201431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20187192.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 2243011201431 its reverse (1341021103422), we get a palindrome (3584032304853).

It can be divided in two parts, 2243011 and 201431, that added together give a palindrome (2444442).

The spelling of 2243011201431 in words is "two trillion, two hundred forty-three billion, eleven million, two hundred one thousand, four hundred thirty-one".

Divisors: 1 3 7 11 13 21 33 37 39 77 91 111 143 231 259 273 407 429 481 777 1001 1221 1443 2849 3003 3367 5291 8547 10101 15873 37037 111111 20187121 60561363 141309847 222058331 262432573 423929541 666174993 746923477 787297719 1554408317 1837028011 2240770431 2886758303 4663224951 5228464339 5511084033 8216158247 8660274909 9710005201 15685393017 20207308121 24648474741 29130015603 57513107729 60621924363 67970036407 106810057211 172539323187 203910109221 320430171633 747670400477 2243011201431