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11023233312231 = 34779269914843
BaseRepresentation
bin1010000001101000101111…
…1001111110010111100111
31110000210220002020020010000
42200122023321332113213
52421101040211442411
635240000430032343
72215254666112440
oct240321371762747
943023802206100
1011023233312231
11356aa219142a8
1212a04626486b3
1361c642931c9a
142a17550382c7
15141b16203956
hexa068be7e5e7

11023233312231 has 80 divisors (see below), whose sum is σ = 19128290227200. Its totient is φ = 6196129722432.

The previous prime is 11023233312211. The next prime is 11023233312277. The reversal of 11023233312231 is 13221333232011.

11023233312231 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 323 + 3 + 312 + 23 + 1 = 666.

It is not a de Polignac number, because 11023233312231 - 25 = 11023233312199 is a prime.

It is a super-2 number, since 2×110232333122312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11023233312195 and 11023233312204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11023233312211) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11591896 + ... + 12506738.

It is an arithmetic number, because the mean of its divisors is an integer number (239103627840).

Almost surely, 211023233312231 is an apocalyptic number.

11023233312231 is a deficient number, since it is larger than the sum of its proper divisors (8105056914969).

11023233312231 is an equidigital number, since it uses as much as digits as its factorization.

11023233312231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 915210 (or 915201 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11023233312231 its reverse (13221333232011), we get a palindrome (24244566544242).

The spelling of 11023233312231 in words is "eleven trillion, twenty-three billion, two hundred thirty-three million, three hundred twelve thousand, two hundred thirty-one".

Divisors: 1 3 7 9 21 27 63 79 81 189 237 269 553 567 711 807 1659 1883 2133 2421 4977 5649 6399 7263 14931 16947 21251 21789 44793 50841 63753 148757 152523 191259 446271 573777 914843 1338813 1721331 2744529 4016439 6403901 8233587 12049317 19211703 24700761 57635109 72272597 74102283 172905327 216817791 246092767 505908179 518715981 650453373 738278301 1517724537 1722649369 1951360119 2214834903 4553173611 5167948107 5854080357 6644504709 13659520833 15503844321 19441328593 19933514127 40978562499 46511532963 58323985779 136089300151 139534598889 174971957337 408267900453 524915872011 1224803701359 1574747616033 3674411104077 11023233312231