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10111011222220 = 225191511429123311
BaseRepresentation
bin1001001100100010011100…
…1110110111001011001100
31022210121021202102122022021
42103020213032313023030
52311124322333102340
633300533500455524
72062332166225426
oct223104716671314
938717252378267
1010111011222220
113249068272377
1211736b924a5a4
13584605cc156c
1426d538741816
15128025bd6e4a
hex932273b72cc

10111011222220 has 96 divisors (see below), whose sum is σ = 22514600908800. Its totient is φ = 3803472288000.

The previous prime is 10111011222209. The next prime is 10111011222229. The reversal of 10111011222220 is 2222211011101.

10111011222220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10111011222194 and 10111011222203.

It is not an unprimeable number, because it can be changed into a prime (10111011222229) 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, 81934365 + ... + 82057675.

It is an arithmetic number, because the mean of its divisors is an integer number (234527092800).

Almost surely, 210111011222220 is an apocalyptic number.

10111011222220 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 10111011222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11257300454400).

10111011222220 is an abundant number, since it is smaller than the sum of its proper divisors (12403589686580).

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

10111011222220 is a wasteful number, since it uses less digits than its factorization.

10111011222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124919 (or 124917 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10111011222220 its reverse (2222211011101), we get a palindrome (12333222233321).

The spelling of 10111011222220 in words is "ten trillion, one hundred eleven billion, eleven million, two hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 151 190 302 380 604 755 1429 1510 2858 2869 3020 5716 5738 7145 11476 14290 14345 27151 28580 28690 54302 57380 108604 123311 135755 215779 246622 271510 431558 493244 543020 616555 863116 1078895 1233110 2157790 2342909 2466220 4099801 4315580 4685818 8199602 9371636 11714545 16399204 18619961 20499005 23429090 37239922 40998010 46858180 74479844 81996020 93099805 176211419 186199610 352422838 353779259 372399220 704845676 707558518 881057095 1415117036 1762114190 1768896295 3348016961 3524228380 3537792590 6696033922 7075585180 13392067844 16740084805 26607924269 33480169610 53215848538 66960339220 106431697076 133039621345 266079242690 505550561111 532158485380 1011101122222 2022202244444 2527752805555 5055505611110 10111011222220