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22201200231012 = 223211377001216431
BaseRepresentation
bin1010000110001000111101…
…01001110100001001100100
32220121102011211001002112200
411003010132221310021210
510402221024224343022
6115115031322214500
74450661303203515
oct503043651641144
986542154032480
1022201200231012
11708a526823380
1225a68a9054430
13c5074470c92a
1456a78837ca0c
1528778686bbac
hex14311ea74264

22201200231012 has 144 divisors (see below), whose sum is σ = 62885398028544. Its totient is φ = 6544843200000.

The previous prime is 22201200230999. The next prime is 22201200231013. The reversal of 22201200231012 is 21013200210222.

22201200231012 is a `hidden beast` number, since 2 + 220 + 1 + 200 + 231 + 0 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (22201200231013) 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, 102470437 + ... + 102686867.

It is an arithmetic number, because the mean of its divisors is an integer number (436704152976).

Almost surely, 222201200231012 is an apocalyptic number.

22201200231012 is a gapful number since it is divisible by the number (22) 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 22201200231012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31442699014272).

22201200231012 is an abundant number, since it is smaller than the sum of its proper divisors (40684197797532).

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

22201200231012 is a wasteful number, since it uses less digits than its factorization.

22201200231012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223490 (or 223485 counting only the distinct ones).

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

Adding to 22201200231012 its reverse (21013200210222), we get a palindrome (43214400441234).

The spelling of 22201200231012 in words is "twenty-two trillion, two hundred one billion, two hundred million, two hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 37 44 66 74 99 111 132 148 198 222 333 396 407 444 666 814 1221 1332 1628 2442 3663 4884 7001 7326 14002 14652 21003 28004 42006 63009 77011 84012 126018 154022 216431 231033 252036 259037 308044 432862 462066 518074 649293 693099 777111 865724 924132 1036148 1298586 1386198 1554222 1947879 2331333 2380741 2597172 2772396 2849407 3108444 3895758 4662666 4761482 5698814 7142223 7791516 8007947 8548221 9325332 9522964 11397628 14284446 16015894 17096442 21426669 24023841 25644663 28568892 32031788 34192884 42853338 48047682 51289326 72071523 85706676 88087417 96095364 102578652 144143046 176174834 264262251 288286092 352349668 528524502 792786753 1057049004 1515233431 1585573506 3030466862 3171147012 4545700293 6060933724 9091400586 13637100879 16667567741 18182801172 27274201758 33335135482 50002703223 54548403516 56063636947 66670270964 100005406446 112127273894 150008109669 168190910841 200010812892 224254547788 300016219338 336381821682 504572732523 600032438676 616700006417 672763643364 1009145465046 1233400012834 1850100019251 2018290930092 2466800025668 3700200038502 5550300057753 7400400077004 11100600115506 22201200231012