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11202122201112 = 2334367433710861
BaseRepresentation
bin1010001100000011001010…
…0000111011100000011000
31110122220122011020100110000
42203000302200323200120
52432013421240413422
635454103415453000
72234220013431513
oct243006240734030
943586564210400
1011202122201112
11362987aa42227
12130b068087160
1363348130531b
142aa285441d7a
151465d60cdcac
hexa303283b818

11202122201112 has 160 divisors (see below), whose sum is σ = 31471960259520. Its totient is φ = 3722664821760.

The previous prime is 11202122201089. The next prime is 11202122201161. The reversal of 11202122201112 is 21110222120211.

11202122201112 is a `hidden beast` number, since 1 + 120 + 212 + 220 + 1 + 112 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1031402562 + ... + 1031413422.

It is an arithmetic number, because the mean of its divisors is an integer number (196699751622).

Almost surely, 211202122201112 is an apocalyptic number.

11202122201112 is a gapful number since it is divisible by the number (12) 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 11202122201112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735980129760).

11202122201112 is an abundant number, since it is smaller than the sum of its proper divisors (20269838058408).

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

11202122201112 is a wasteful number, since it uses less digits than its factorization.

11202122201112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15583 (or 15570 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 11202122201112 its reverse (21110222120211), we get a palindrome (32312344321323).

The spelling of 11202122201112 in words is "eleven trillion, two hundred two billion, one hundred twenty-two million, two hundred one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 367 648 734 1101 1468 2202 2936 3303 4337 4404 6606 8674 8808 9909 10861 13011 13212 17348 19818 21722 26022 26424 29727 32583 34696 39033 39636 43444 52044 59454 65166 78066 79272 86888 97749 104088 117099 118908 130332 156132 195498 234198 237816 260664 293247 312264 351297 390996 468396 586494 702594 781992 879741 936792 1172988 1405188 1591679 1759482 2345976 2810376 3183358 3518964 3985987 4775037 6366716 7037928 7971974 9550074 11957961 12733432 14325111 15943948 19100148 23915922 28650222 31887896 35873883 38200296 42975333 47104157 47831844 57300444 71747766 85950666 94208314 95663688 107621649 114600888 128925999 141312471 143495532 171901332 188416628 215243298 257851998 282624942 286991064 322864947 343802664 376833256 423937413 430486596 515703996 565249884 645729894 847874826 860973192 1031407992 1130499768 1271812239 1291459788 1695749652 2543624478 2582919576 3391499304 3815436717 5087248956 7630873434 10174497912 15261746868 17287225619 30523493736 34574451238 51861676857 69148902476 103723353714 138297804952 155585030571 207446707428 311170061142 414893414856 466755091713 622340122284 933510183426 1244680244568 1400265275139 1867020366852 2800530550278 3734040733704 5601061100556 11202122201112