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1230133311 = 351121723107
BaseRepresentation
bin100100101010010…
…0101100000111111
310011201201020200000
41021110211200333
510004403231221
6322022005343
742324650331
oct11124454077
93151636600
101230133311
11581418400
122a3b76853
13167b15044
14b9535451
1572edde26
hex4952583f

1230133311 has 144 divisors (see below), whose sum is σ = 2258710272. Its totient is φ = 664899840.

The previous prime is 1230133309. The next prime is 1230133313. The reversal of 1230133311 is 1133310321.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1230133309) and next prime (1230133313).

It is not a de Polignac number, because 1230133311 - 21 = 1230133309 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1230133313) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11496520 + ... + 11496626.

It is an arithmetic number, because the mean of its divisors is an integer number (15685488).

Almost surely, 21230133311 is an apocalyptic number.

1230133311 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1230133311 is a deficient number, since it is larger than the sum of its proper divisors (1028576961).

1230133311 is a wasteful number, since it uses less digits than its factorization.

1230133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

The square root of 1230133311 is about 35073.2563501024. The cubic root of 1230133311 is about 1071.4799769393.

Adding to 1230133311 its reverse (1133310321), we get a palindrome (2363443632).

The spelling of 1230133311 in words is "one billion, two hundred thirty million, one hundred thirty-three thousand, three hundred eleven".

Divisors: 1 3 9 11 17 23 27 33 51 69 81 99 107 121 153 187 207 243 253 297 321 363 391 459 561 621 759 891 963 1089 1173 1177 1377 1683 1819 1863 2057 2277 2461 2673 2783 2889 3267 3519 3531 4131 4301 5049 5457 5589 6171 6831 7383 8349 8667 9801 10557 10593 12903 12947 15147 16371 18513 20009 20493 22149 25047 26001 27071 29403 31671 31779 38709 38841 41837 45441 47311 49113 55539 60027 61479 66447 75141 81213 95013 95337 116127 116523 125511 141933 147339 166617 180081 199341 220099 225423 243639 286011 297781 348381 349569 376533 425799 442017 460207 499851 540243 598023 660297 676269 730917 893343 1045143 1048707 1129599 1277397 1380621 1620729 1980891 2192751 2680029 3146121 3388797 3832191 4141863 4862187 5062277 5942673 6578253 8040087 10166391 11496573 12425589 15186831 17828019 24120261 37276767 45560493 53484057 72360783 111830301 136681479 410044437 1230133311