Search a number
-
+
1143113202231 = 3711131953378011
BaseRepresentation
bin10000101000100110110…
…110110011101000110111
311001021120112011100211120
4100220212312303220313
5122212043434432411
62233050003035023
7145405260620460
oct20504666635067
94037515140746
101143113202231
11400878668a40
1216566236ba73
1383a44b28b20
143d481307d67
151eb0593d106
hex10a26db3a37

1143113202231 has 128 divisors (see below), whose sum is σ = 2194767912960. Its totient is φ = 509496998400.

The previous prime is 1143113202229. The next prime is 1143113202277. The reversal of 1143113202231 is 1322023113411.

It is not a de Polignac number, because 1143113202231 - 21 = 1143113202229 is a prime.

It is a super-2 number, since 2×11431132022312 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1143113202331) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2835016 + ... + 3213026.

It is an arithmetic number, because the mean of its divisors is an integer number (17146624320).

Almost surely, 21143113202231 is an apocalyptic number.

1143113202231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1143113202231 is a deficient number, since it is larger than the sum of its proper divisors (1051654710729).

1143113202231 is a wasteful number, since it uses less digits than its factorization.

1143113202231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378117.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1143113202231 its reverse (1322023113411), we get a palindrome (2465136315642).

The spelling of 1143113202231 in words is "one trillion, one hundred forty-three billion, one hundred thirteen million, two hundred two thousand, two hundred thirty-one".

Divisors: 1 3 7 11 13 19 21 33 39 53 57 77 91 133 143 159 209 231 247 273 371 399 429 583 627 689 741 1001 1007 1113 1463 1729 1749 2067 2717 3003 3021 4081 4389 4823 5187 7049 7579 8151 11077 12243 13091 14469 19019 21147 22737 33231 39273 53053 57057 77539 91637 144001 159159 232617 274911 378011 432003 1008007 1134033 2646077 3024021 4158121 4914143 7182209 7938231 12474363 14742429 20034583 21546627 29106847 34399001 50275463 54055573 60103749 79004299 87320541 93368717 103197003 140242081 150826389 162166719 220380413 237012897 260449579 280106151 378389011 380657077 420726243 553030093 653581019 661141239 781348737 1027055887 1135167033 1141971231 1542662891 1659090279 1823147053 1960743057 2664599539 2864945369 3081167661 4187227847 4627988673 4948542001 5469441159 7189391209 7993798617 8594836107 12561683541 14845626003 20054617583 21568173627 29310594929 34639794007 54433962011 60163852749 87931784787 103919382021 163301886033 381037734077 1143113202231