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11201000022212 = 227211131409283631
BaseRepresentation
bin1010001011111110111110…
…1000001010000011000100
31110122210201221122202101112
42202333233220022003010
52432004122001202322
635453400211344152
72234150136163100
oct242775750120304
943583657582345
1011201000022212
113629354559650
12130a9b42b2058
1363333298a540
142aa1ba3ac900
1514656c8165e2
hexa2fefa0a0c4

11201000022212 has 144 divisors (see below), whose sum is σ = 26807512515840. Its totient is φ = 4025458483200.

The previous prime is 11201000022211. The next prime is 11201000022217. The reversal of 11201000022212 is 21222000010211.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (11201000022211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39349637 + ... + 39633267.

It is an arithmetic number, because the mean of its divisors is an integer number (186163281360).

Almost surely, 211201000022212 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 11201000022212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13403756257920).

11201000022212 is an abundant number, since it is smaller than the sum of its proper divisors (15606512493628).

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

11201000022212 is a wasteful number, since it uses less digits than its factorization.

11201000022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285082 (or 285073 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 11201000022212 its reverse (21222000010211), we get a palindrome (32423000032423).

The spelling of 11201000022212 in words is "eleven trillion, two hundred one billion, twenty-two thousand, two hundred twelve".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 49 52 77 91 98 143 154 182 196 286 308 364 539 572 637 1001 1078 1274 1409 2002 2156 2548 2818 4004 5636 7007 9863 14014 15499 18317 19726 28028 30998 36634 39452 61996 69041 73268 108493 128219 138082 201487 216986 256438 276164 283631 402974 433972 512876 567262 759451 805948 897533 1134524 1410409 1518902 1795066 1985417 2820818 3037804 3119941 3590132 3687203 3970834 5641636 6239882 7374406 7941668 9872863 12479764 13897919 14748812 19745726 21839587 25810421 27795838 39491452 40559233 43679174 51620842 55591676 81118466 87358348 103241684 152877109 162236932 180672947 283914631 305754218 361345894 399636079 567829262 611508436 722691788 799272158 1135658524 1598544316 1987402417 2797452553 3974804834 4395996869 5195269027 5594905106 7949609668 8791993738 10390538054 11189810212 17583987476 19582167871 20781076108 30771978083 36366883189 39164335742 57147959297 61543956166 72733766378 78328671484 114295918594 123087912332 145467532756 215403846581 228591837188 254568182323 400035715079 430807693162 509136364646 800071430158 861615386324 1018272729292 1600142860316 2800250005553 5600500011106 11201000022212