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21220021111100 = 22527297314319469
BaseRepresentation
bin1001101001100101010111…
…10100100000100100111100
32210010121120202102102212112
410310302223310200210330
510240132100401023400
6113044202040353152
74320044622246140
oct464625364404474
983117522372775
1021220021111100
1168413a6792239
1224686ba1757b8
13bac068758436
145350a97a5220
1526beac5ac835
hex134cabd2093c

21220021111100 has 144 divisors (see below), whose sum is σ = 55186091822400. Its totient is φ = 6928331397120.

The previous prime is 21220021111097. The next prime is 21220021111103. The reversal of 21220021111100 is 111112002212.

It is an interprime number because it is at equal distance from previous prime (21220021111097) and next prime (21220021111103).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220021111103) 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, 5677835 + ... + 8641634.

Almost surely, 221220021111100 is an apocalyptic number.

21220021111100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220021111100 is an abundant number, since it is smaller than the sum of its proper divisors (33966070711300).

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

21220021111100 is a wasteful number, since it uses less digits than its factorization.

21220021111100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14319592 (or 14319585 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21220021111100 its reverse (111112002212), we get a palindrome (21331133113312).

The spelling of 21220021111100 in words is "twenty-one trillion, two hundred twenty billion, twenty-one million, one hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 29 35 50 58 70 73 100 116 140 145 146 175 203 290 292 350 365 406 511 580 700 725 730 812 1015 1022 1450 1460 1825 2030 2044 2117 2555 2900 3650 4060 4234 5075 5110 7300 8468 10150 10220 10585 12775 14819 20300 21170 25550 29638 42340 51100 52925 59276 74095 105850 148190 211700 296380 370475 740950 1481900 14319469 28638938 57277876 71597345 100236283 143194690 200472566 286389380 357986725 400945132 415264601 501181415 715973450 830529202 1002362830 1045321237 1431946900 1661058404 2004725660 2076323005 2090642474 2505907075 2906852207 4152646010 4181284948 5011814150 5226606185 5813704414 7317248659 8305292020 10023628300 10381615025 10453212370 11627408828 14534261035 14634497318 20763230050 20906424740 26133030925 29068522070 29268994636 30314315873 36586243295 41526460100 52266061850 58137044140 60628631746 72671305175 73172486590 104532123700 121257263492 145342610350 146344973180 151571579365 182931216475 212200211111 290685220700 303143158730 365862432950 424400422222 606286317460 731724865900 757857896825 848800844444 1061001055555 1515715793650 2122002111110 3031431587300 4244004222220 5305005277775 10610010555550 21220021111100