Search a number
-
+
22113321212032 = 277324121534561
BaseRepresentation
bin1010000011100101010001…
…01001111101100010000000
32220022000100101011101101221
411001302220221331202000
510344301040212241112
6115010415230004424
74441430466650221
oct501625051754200
986260311141357
1022113321212032
117056230370766
122591862646714
13c4537b14330b
1456640d02d248
152853417ede07
hex141ca8a7d880

22113321212032 has 128 divisors (see below), whose sum is σ = 44873324503920. Its totient is φ = 10852525670400.

The previous prime is 22113321211987. The next prime is 22113321212083. The reversal of 22113321212032 is 23021212331122.

It can be written as a sum of positive squares in 8 ways, for example, as 7301106627136 + 14812214584896 = 2702056^2 + 3848664^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 22113321211988 and 22113321212006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4848347032 + ... + 4848351592.

Almost surely, 222113321212032 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 22113321212032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22436662251960).

22113321212032 is an abundant number, since it is smaller than the sum of its proper divisors (22760003291888).

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

22113321212032 is a wasteful number, since it uses less digits than its factorization.

22113321212032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7042 (or 7030 counting only the distinct ones).

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

Adding to 22113321212032 its reverse (23021212331122), we get a palindrome (45134533543154).

The spelling of 22113321212032 in words is "twenty-two trillion, one hundred thirteen billion, three hundred twenty-one million, two hundred twelve thousand, thirty-two".

Divisors: 1 2 4 8 16 32 64 73 128 146 241 292 482 584 964 1168 1928 2153 2336 3856 4306 4561 4672 7712 8612 9122 9344 15424 17224 17593 18244 30848 34448 35186 36488 68896 70372 72976 137792 140744 145952 157169 275584 281488 291904 314338 332953 518873 562976 583808 628676 665906 1037746 1099201 1125952 1257352 1331812 2075492 2198402 2251904 2514704 2663624 4150984 4396804 5029408 5327248 8301968 8793608 9819833 10058816 10654496 16603936 17587216 19639666 20117632 21308992 33207872 35174432 37877729 39279332 42617984 66415744 70348864 75755458 78558664 80241673 140697728 151510916 157117328 160483346 303021832 314234656 320966692 606043664 628469312 641933384 716847809 1212087328 1256938624 1283866768 1433695618 2366579753 2424174656 2567733536 2867391236 4733159506 4848349312 5135467072 5734782472 9466319012 10270934144 11469564944 18932638024 22939129888 37865276048 45878259776 75730552096 91756519552 151461104192 172760321969 302922208384 345520643938 691041287876 1382082575752 2764165151504 5528330303008 11056660606016 22113321212032