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22213330101312 = 263736074582139
BaseRepresentation
bin1010000110011111100011…
…01001100110010001000000
32220122120111011112100110020
411003033301221212101000
510402420400001220222
6115124355111333440
74451601012331050
oct503176151462100
986576434470406
1022213330101312
117094690818479
1225a9113381280
13c51928745b8c
1456b1b9325560
15287c466e265c
hex1433f1a66440

22213330101312 has 112 divisors (see below), whose sum is σ = 67187515591680. Its totient is φ = 6344904817152.

The previous prime is 22213330101301. The next prime is 22213330101371. The reversal of 22213330101312 is 21310103331222.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 2556739 + ... + 7138877.

Almost surely, 222213330101312 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 22213330101312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33593757795840).

22213330101312 is an abundant number, since it is smaller than the sum of its proper divisors (44974185490368).

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

22213330101312 is a wasteful number, since it uses less digits than its factorization.

22213330101312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4585768 (or 4585758 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 22213330101312 its reverse (21310103331222), we get a palindrome (43523433432534).

The spelling of 22213330101312 in words is "twenty-two trillion, two hundred thirteen billion, three hundred thirty million, one hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 3607 7214 10821 14428 21642 25249 28856 43284 50498 57712 75747 86568 100996 115424 151494 173136 201992 230848 302988 346272 403984 605976 692544 807968 1211952 1615936 2423904 4582139 4847808 9164278 13746417 18328556 27492834 32074973 36657112 54985668 64149946 73314224 96224919 109971336 128299892 146628448 192449838 219942672 256599784 293256896 384899676 439885344 513199568 769799352 879770688 1026399136 1539598704 2052798272 3079197408 6158394816 16527775373 33055550746 49583326119 66111101492 99166652238 115694427611 132222202984 198333304476 231388855222 264444405968 347083282833 396666608952 462777710444 528888811936 694166565666 793333217904 925555420888 1057777623872 1388333131332 1586666435808 1851110841776 2776666262664 3173332871616 3702221683552 5553332525328 7404443367104 11106665050656 22213330101312