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1101041032212 = 22321131711263247
BaseRepresentation
bin10000000001011011001…
…010001101110000010100
310220020222102221200110100
4100001123022031300110
5121014413001012322
62201451122254100
7142355552232612
oct20013312156024
93806872850410
101101041032212
11394a48a5a9a0
121594804b7330
137ca9b680a74
143b40d8566b2
151d992089dac
hex1005b28dc14

1101041032212 has 144 divisors (see below), whose sum is σ = 3178291544064. Its totient is φ = 318337992000.

The previous prime is 1101041032211. The next prime is 1101041032241. The reversal of 1101041032212 is 2122301401011.

1101041032212 is a `hidden beast` number, since 1 + 1 + 0 + 10 + 410 + 32 + 212 = 666.

It is a super-2 number, since 2×11010410322122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101041032211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 239973 + ... + 1503219.

It is an arithmetic number, because the mean of its divisors is an integer number (22071469056).

Almost surely, 21101041032212 is an apocalyptic number.

1101041032212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101041032212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1589145772032).

1101041032212 is an abundant number, since it is smaller than the sum of its proper divisors (2077250511852).

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

1101041032212 is a wasteful number, since it uses less digits than its factorization.

1101041032212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263370 (or 1263365 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1101041032212 its reverse (2122301401011), we get a palindrome (3223342433223).

It can be divided in two parts, 110104 and 1032212, that added together give a triangular number (1142316 = T1511).

The spelling of 1101041032212 in words is "one trillion, one hundred one billion, forty-one million, thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 31 33 36 44 62 66 71 93 99 124 132 142 186 198 213 279 284 341 372 396 426 558 639 682 781 852 1023 1116 1278 1364 1562 2046 2201 2343 2556 3069 3124 4092 4402 4686 6138 6603 7029 8804 9372 12276 13206 14058 19809 24211 26412 28116 39618 48422 72633 79236 96844 145266 217899 290532 435798 871596 1263247 2526494 3789741 5052988 7579482 11369223 13895717 15158964 22738446 27791434 39160657 41687151 45476892 55582868 78321314 83374302 89690537 117481971 125061453 156642628 166748604 179381074 234963942 250122906 269071611 352445913 358762148 430767227 469927884 500245812 538143222 704891826 807214833 861534454 986595907 1076286444 1292301681 1409783652 1614429666 1723068908 1973191814 2584603362 2780406647 2959787721 3228859332 3876905043 3946383628 5169206724 5560813294 5919575442 7753810086 8341219941 8879363163 11121626588 11839150884 15507620172 16682439882 17758726326 25023659823 30584473117 33364879764 35517452652 50047319646 61168946234 91753419351 100094639292 122337892468 183506838702 275260258053 367013677404 550520516106 1101041032212