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11331110331224 = 2329314174351719
BaseRepresentation
bin1010010011100011101011…
…0011100110001101011000
31111010020120120011021112022
42210320322303212031120
52441122103221044344
640033235031034012
72246434322440055
oct244707263461530
944106516137468
1011331110331224
113679551420552
121330065b0b908
13642699674c78
142b260039002c
15149b351b90ee
hexa4e3ace6358

11331110331224 has 128 divisors (see below), whose sum is σ = 23272510464000. Its totient is φ = 5157567206400.

The previous prime is 11331110331197. The next prime is 11331110331239. The reversal of 11331110331224 is 42213301113311.

11331110331224 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×113311103312242 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11331110331193 and 11331110331202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 219064037 + ... + 219115755.

It is an arithmetic number, because the mean of its divisors is an integer number (181816488000).

Almost surely, 211331110331224 is an apocalyptic number.

It is an amenable number.

11331110331224 is an abundant number, since it is smaller than the sum of its proper divisors (11941400132776).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11331110331224 is a wasteful number, since it uses less digits than its factorization.

11331110331224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52569 (or 52565 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 11331110331224 its reverse (42213301113311), we get a palindrome (53544411444535).

The spelling of 11331110331224 in words is "eleven trillion, three hundred thirty-one billion, one hundred ten million, three hundred thirty-one thousand, two hundred twenty-four".

Divisors: 1 2 4 8 29 31 41 58 62 82 116 124 164 232 248 328 743 899 1189 1271 1486 1798 2378 2542 2972 3596 4756 5084 5944 7192 9512 10168 21547 23033 30463 36859 43094 46066 51719 60926 73718 86188 92132 103438 121852 147436 172376 184264 206876 243704 294872 413752 667957 883427 944353 1335914 1499851 1603289 1766854 1888706 2120479 2671828 2999702 3206578 3533708 3777412 4240958 5343656 5999404 6413156 7067416 7554824 8481916 11998808 12826312 16963832 27386237 38427217 46495381 54772474 61493891 65734849 76854434 92990762 109544948 122987782 131469698 153708868 185981524 219089896 245975564 262939396 307417736 371963048 491951128 525878792 1114389293 1191243727 1575515897 1906310621 2228778586 2382487454 3151031794 3812621242 4457557172 4764974908 6302063588 7625242484 8915114344 9529949816 12604127176 15250484968 34546068083 45689961013 48840992807 69092136166 91379922026 97681985614 138184272332 182759844052 195363971228 276368544664 365519688104 390727942456 1416388791403 2832777582806 5665555165612 11331110331224