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21220132231312 = 24721071391819841
BaseRepresentation
bin1001101001100101100100…
…11100011001100010010000
32210010121212111111221010221
410310302302130121202100
510240132312322400222
6113044221050202424
74320050441614600
oct464626234314220
983117774457127
1021220132231312
116841453489523
12246872b423414
13bac085793641
145350ba44cc00
1526beb720c0c7
hex134cb2719890

21220132231312 has 120 divisors (see below), whose sum is σ = 48620791507680. Its totient is φ = 8944528158720.

The previous prime is 21220132231307. The next prime is 21220132231367. The reversal of 21220132231312 is 21313223102212.

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 23 ways as a sum of consecutive naturals, for example, 10750512 + ... + 12570352.

It is an arithmetic number, because the mean of its divisors is an integer number (405173262564).

Almost surely, 221220132231312 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 21220132231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24310395753840).

21220132231312 is an abundant number, since it is smaller than the sum of its proper divisors (27400659276368).

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

21220132231312 is a wasteful number, since it uses less digits than its factorization.

21220132231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820109 (or 1820096 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 21220132231312 its reverse (21313223102212), we get a palindrome (42533355333524).

The spelling of 21220132231312 in words is "twenty-one trillion, two hundred twenty billion, one hundred thirty-two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 107 112 139 196 214 278 392 428 556 749 784 856 973 1112 1498 1712 1946 2224 2996 3892 5243 5992 6811 7784 10486 11984 13622 14873 15568 20972 27244 29746 41944 54488 59492 83888 104111 108976 118984 208222 237968 416444 728777 832888 1457554 1665776 1819841 2915108 3639682 5830216 7279364 11660432 12738887 14558728 25477774 29117456 50955548 89172209 101911096 178344418 194722987 203822192 252957899 356688836 389445974 505915798 713377672 778891948 1011831596 1363060909 1426755344 1557783896 1770705293 2023663192 2726121818 3115567792 3541410586 4047326384 5452243636 7082821172 9541426363 10904487272 12394937051 14165642344 19082852726 21808974544 24789874102 27066495193 28331284688 38165705452 49579748204 54132990386 76331410904 99159496408 108265980772 152662821808 189465466351 198318992816 216531961544 378930932702 433063923088 757861865404 1326258264457 1515723730808 2652516528914 3031447461616 5305033057828 10610066115656 21220132231312