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31212133110 = 23351719934171
BaseRepresentation
bin11101000100011000…
…110101101011110110
32222120020010122102000
4131010120311223312
51002410301224420
622201052200130
72153315516424
oct350430655366
988506118360
1031212133110
1112267487634
126070a69046
132c35547022
141721416114
15c2a25e690
hex744635af6

31212133110 has 128 divisors (see below), whose sum is σ = 88573824000. Its totient is φ = 7794040320.

The previous prime is 31212133103. The next prime is 31212133129. The reversal of 31212133110 is 1133121213.

31212133110 is a `hidden beast` number, since 312 + 1 + 21 + 331 + 1 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 896325 + ... + 930495.

It is an arithmetic number, because the mean of its divisors is an integer number (691983000).

Almost surely, 231212133110 is an apocalyptic number.

31212133110 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31212133110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44286912000).

31212133110 is an abundant number, since it is smaller than the sum of its proper divisors (57361690890).

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

31212133110 is a wasteful number, since it uses less digits than its factorization.

31212133110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34403 (or 34397 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 31212133110 its reverse (1133121213), we get a palindrome (32345254323).

The spelling of 31212133110 in words is "thirty-one billion, two hundred twelve million, one hundred thirty-three thousand, one hundred ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 199 255 270 306 398 459 510 597 765 918 995 1194 1530 1791 1990 2295 2985 3383 3582 4590 5373 5970 6766 8955 10149 10746 16915 17910 20298 26865 30447 33830 34171 50745 53730 60894 68342 91341 101490 102513 152235 170855 182682 205026 304470 307539 341710 456705 512565 580907 615078 913410 922617 1025130 1161814 1537695 1742721 1845234 2904535 3075390 3485442 4613085 5228163 5809070 6800029 8713605 9226170 10456326 13600058 15684489 17427210 20400087 26140815 31368978 34000145 40800174 52281630 61200261 68000290 78422445 102000435 115600493 122400522 156844890 183600783 204000870 231200986 306001305 346801479 367201566 578002465 612002610 693602958 918003915 1040404437 1156004930 1734007395 1836007830 2080808874 3121213311 3468014790 5202022185 6242426622 10404044370 15606066555 31212133110