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31220212212 = 22337210158411
BaseRepresentation
bin11101000100110111…
…101010000111110100
32222120210100002212000
4131010313222013310
51002414333242322
622201541255300
72153444265600
oct350467520764
988523302760
1031220212212
1112270aa5582
126073704530
132c37115467
14172251a500
15c2ad083ac
hex744dea1f4

31220212212 has 144 divisors (see below), whose sum is σ = 95090063040. Its totient is φ = 8831592000.

The previous prime is 31220212211. The next prime is 31220212223. The reversal of 31220212212 is 21221202213.

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 (31220212211) 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 47 ways as a sum of consecutive naturals, for example, 505287 + ... + 563697.

It is an arithmetic number, because the mean of its divisors is an integer number (660347660).

Almost surely, 231220212212 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 31220212212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47545031520).

31220212212 is an abundant number, since it is smaller than the sum of its proper divisors (63869850828).

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

31220212212 is a wasteful number, since it uses less digits than its factorization.

31220212212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58539 (or 58524 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31220212212 its reverse (21221202213), we get a palindrome (52441414425).

Subtracting from 31220212212 its reverse (21221202213), we obtain a palindrome (9999009999).

The spelling of 31220212212 in words is "thirty-one billion, two hundred twenty million, two hundred twelve thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 101 108 126 147 189 196 202 252 294 303 378 404 441 588 606 707 756 882 909 1212 1323 1414 1764 1818 2121 2646 2727 2828 3636 4242 4949 5292 5454 6363 8484 9898 10908 12726 14847 19089 19796 25452 29694 38178 44541 58411 59388 76356 89082 116822 133623 175233 178164 233644 267246 350466 408877 525699 534492 700932 817754 1051398 1226631 1577097 1635508 2102796 2453262 2862139 3154194 3679893 4906524 5724278 5899511 6308388 7359786 8586417 11039679 11448556 11799022 14719572 17172834 17698533 22079358 23598044 25759251 34345668 35397066 41296577 44158716 51518502 53095599 70794132 77277753 82593154 103037004 106191198 123889731 154555506 159286797 165186308 212382396 247779462 289076039 309111012 318573594 371669193 495558924 578152078 637147188 743338386 867228117 1115007579 1156304156 1486676772 1734456234 2230015158 2601684351 3468912468 4460030316 5203368702 7805053053 10406737404 15610106106 31220212212