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12110311130232 = 23371933711258033
BaseRepresentation
bin1011000000111010011011…
…0010110000010001111000
31120212201211101221010121110
42300032212302300101320
53041403404122131412
641431222232240320
72356640541110130
oct260164662602170
946781741833543
1012110311130232
113949a54a10737
1214370868400a0
1369acc74b3703
142dc1dc231ac0
1516003c4c4d3c
hexb03a6cb0478

12110311130232 has 128 divisors (see below), whose sum is σ = 36530068723200. Its totient is φ = 3268251721728.

The previous prime is 12110311130227. The next prime is 12110311130237. The reversal of 12110311130232 is 23203111301121.

It is an interprime number because it is at equal distance from previous prime (12110311130227) and next prime (12110311130237).

It is a super-2 number, since 2×121103111302322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12110311130199 and 12110311130208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110311130237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4553313 + ... + 6704720.

It is an arithmetic number, because the mean of its divisors is an integer number (285391161900).

Almost surely, 212110311130232 is an apocalyptic number.

12110311130232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12110311130232 is an abundant number, since it is smaller than the sum of its proper divisors (24419757592968).

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

12110311130232 is a wasteful number, since it uses less digits than its factorization.

12110311130232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11258405 (or 11258401 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 12110311130232 its reverse (23203111301121), we get a palindrome (35313422431353).

The spelling of 12110311130232 in words is "twelve trillion, one hundred ten billion, three hundred eleven million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 337 399 456 532 674 798 1011 1064 1348 1596 2022 2359 2696 3192 4044 4718 6403 7077 8088 9436 12806 14154 18872 19209 25612 28308 38418 44821 51224 56616 76836 89642 134463 153672 179284 268926 358568 537852 1075704 11258033 22516066 33774099 45032132 67548198 78806231 90064264 135096396 157612462 213902627 236418693 270192792 315224924 427805254 472837386 630449848 641707881 855610508 945674772 1283415762 1497318389 1711221016 1891349544 2566831524 2994636778 3793957121 4491955167 5133663048 5989273556 7587914242 8983910334 11381871363 11978547112 15175828484 17967820668 22763742726 26557699847 30351656968 35935641336 45527485452 53115399694 72085185299 79673099541 91054970904 106230799388 144170370598 159346199082 212461598776 216255555897 288340741196 318692398164 432511111794 504596297093 576681482392 637384796328 865022223588 1009192594186 1513788891279 1730044447176 2018385188372 3027577782558 4036770376744 6055155565116 12110311130232