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11202212332120 = 2358317326374159
BaseRepresentation
bin1010001100000011011111…
…1000110000001001011000
31110122220212102211110221111
42203000313320300021120
52432014112324111440
635454120355350104
72234222156511235
oct243006770601130
943586772743844
1011202212332120
113629916902a67
12130b0922b2334
13633496ba1a94
142aa2933c478c
151465dde844ea
hexa3037e30258

11202212332120 has 128 divisors (see below), whose sum is σ = 25754000025600. Its totient is φ = 4384515218944.

The previous prime is 11202212332067. The next prime is 11202212332147. The reversal of 11202212332120 is 2123321220211.

It is a super-2 number, since 2×112022123321202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11202212332091 and 11202212332100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151019601 + ... + 151093759.

It is an arithmetic number, because the mean of its divisors is an integer number (201203125200).

Almost surely, 211202212332120 is an apocalyptic number.

11202212332120 is a gapful number since it is divisible by the number (10) 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 11202212332120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12877000012800).

11202212332120 is an abundant number, since it is smaller than the sum of its proper divisors (14551787693480).

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

11202212332120 is a wasteful number, since it uses less digits than its factorization.

11202212332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74689 (or 74685 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 11202212332120 its reverse (2123321220211), we get a palindrome (13325533552331).

The spelling of 11202212332120 in words is "eleven trillion, two hundred two billion, two hundred twelve million, three hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 83 166 173 263 332 346 415 526 664 692 830 865 1052 1315 1384 1660 1730 2104 2630 3320 3460 5260 6920 10520 14359 21829 28718 43658 45499 57436 71795 74159 87316 90998 109145 114872 143590 148318 174632 181996 218290 227495 287180 296636 363992 370795 436580 454990 574360 593272 741590 873160 909980 1483180 1819960 2966360 3776417 6155197 7552834 12310394 12829507 15105668 18882085 19503817 24620788 25659014 30211336 30775985 37764170 39007634 49241576 51318028 61551970 64147535 75528340 78015268 97519085 102636056 123103940 128295070 151056680 156030536 195038170 246207880 256590140 390076340 513180280 780152680 1064849081 1618816811 2129698162 3237633622 3374160341 4259396324 5324245405 6475267244 6748320682 8094084055 8518792648 10648490810 12950534488 13496641364 16188168110 16870801705 21296981620 26993282728 32376336220 33741603410 42593963240 64752672440 67483206820 134966413640 280055308303 560110616606 1120221233212 1400276541515 2240442466424 2800553083030 5601106166060 11202212332120