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11210000222120 = 235783607794659
BaseRepresentation
bin1010001100100000100000…
…0101001100011110101000
31110200122222012010021121212
42203020020011030132220
52432131040024101440
635501445241052252
72234616153466010
oct243101005143650
943618865107555
1011210000222120
113632152976a97
1213106a6487088
136341384aa80b
142aa7d1836c40
151468e7a32465
hexa320814c7a8

11210000222120 has 128 divisors (see below), whose sum is σ = 29221110374400. Its totient is φ = 3790861952256.

The previous prime is 11210000222101. The next prime is 11210000222123. The reversal of 11210000222120 is 2122200001211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11210000222095 and 11210000222104.

It is not an unprimeable number, because it can be changed into a prime (11210000222123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13709351 + ... + 14504009.

It is an arithmetic number, because the mean of its divisors is an integer number (228289924800).

Almost surely, 211210000222120 is an apocalyptic number.

11210000222120 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 11210000222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14610555187200).

11210000222120 is an abundant number, since it is smaller than the sum of its proper divisors (18011110152280).

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

11210000222120 is a wasteful number, since it uses less digits than its factorization.

11210000222120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795367 (or 795363 counting only the distinct ones).

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

Adding to 11210000222120 its reverse (2122200001211), we get a palindrome (13332200223331).

The spelling of 11210000222120 in words is "eleven trillion, two hundred ten billion, two hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 83 140 166 280 332 415 581 607 664 830 1162 1214 1660 2324 2428 2905 3035 3320 4249 4648 4856 5810 6070 8498 11620 12140 16996 21245 23240 24280 33992 42490 50381 84980 100762 169960 201524 251905 352667 403048 503810 705334 794659 1007620 1410668 1589318 1763335 2015240 2821336 3178636 3526670 3973295 5562613 6357272 7053340 7946590 11125226 14106680 15893180 22250452 27813065 31786360 44500904 55626130 65956697 111252260 131913394 222504520 263826788 329783485 461696879 482358013 527653576 659566970 923393758 964716026 1319133940 1846787516 1929432052 2308484395 2411790065 2638267880 3376506091 3693575032 3858864104 4616968790 4823580130 6753012182 9233937580 9647160260 13506024364 16882530455 18467875160 19294320520 27012048728 33765060910 40035715079 67530121820 80071430158 135060243640 160142860316 200178575395 280250005553 320285720632 400357150790 560500011106 800714301580 1121000022212 1401250027765 1601428603160 2242000044424 2802500055530 5605000111060 11210000222120