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110332131212212 = 2272131092309172049
BaseRepresentation
bin11001000101100010110011…
…011111001111101110110100
3112110122122111221000111202221
4121011202303133033232310
5103430140201042242322
61030353514212212124
732145143031322600
oct3105426337175664
9473578457014687
10110332131212212
1132178659797828
121045b13360a044
134974376b90970
141d36164580500
15cb4ed2b7a9c7
hex6458b37cfbb4

110332131212212 has 144 divisors (see below), whose sum is σ = 244208217330000. Its totient is φ = 43228455653376.

The previous prime is 110332131212159. The next prime is 110332131212273. The reversal of 110332131212212 is 212212131233011.

It can be written as a sum of positive squares in 8 ways, for example, as 8877801630096 + 101454329582116 = 2979564^2 + 10072454^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 641197164 + ... + 641369212.

It is an arithmetic number, because the mean of its divisors is an integer number (1695890398125).

Almost surely, 2110332131212212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110332131212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122104108665000).

110332131212212 is an abundant number, since it is smaller than the sum of its proper divisors (133876086117788).

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

110332131212212 is a wasteful number, since it uses less digits than its factorization.

110332131212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174498 (or 174489 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

Adding to 110332131212212 its reverse (212212131233011), we get a palindrome (322544262445223).

The spelling of 110332131212212 in words is "one hundred ten trillion, three hundred thirty-two billion, one hundred thirty-one million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 109 182 196 218 364 436 637 763 1274 1417 1526 2309 2548 2834 3052 4618 5341 5668 9236 9919 10682 16163 19838 21364 30017 32326 39676 60034 64652 69433 113141 120068 138866 172049 210119 226282 251681 277732 344098 420238 452564 503362 688196 840476 1006724 1204343 1470833 1761767 2236637 2408686 2941666 3271853 3523534 4473274 4817372 5883332 6543706 7047068 8430401 8946548 12332369 13087412 15656459 16860802 18753341 22902971 24664738 31312918 33721604 37506682 45805942 49329476 62625836 75013364 91611884 109595213 131273387 160320797 219190426 243793433 262546774 320641594 397261141 438380852 487586866 525093548 641283188 794522282 918913709 975173732 1589044564 1706554031 1837827418 2780827987 3413108062 3675654836 5164394833 5561655974 6826216124 10328789666 11123311948 11945878217 19465795909 20657579332 23891756434 36150763831 38931591818 43301464369 47783512868 72301527662 77863183636 86602928738 144603055324 173205857476 253055346817 303110250583 506110693634 562919036797 606220501166 1012221387268 1125838073594 1212441002332 2121771754081 2251676147188 3940433257579 4243543508162 7880866515158 8487087016324 15761733030316 27583032803053 55166065606106 110332131212212