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21102022011120 = 2435269326859077
BaseRepresentation
bin1001100110001001100101…
…00001101010100011110000
32202201100000012022002012020
410303010302201222203300
510231213420113323440
6112514045102231440
74305366530404401
oct463046241524360
982640005262166
1021102022011120
1167a63543299a6
122449868585580
13ba0bb1c71c9b
1452d4b40ad9a8
15268da30e63d0
hex13313286a8f0

21102022011120 has 80 divisors (see below), whose sum is σ = 65659451588640. Its totient is φ = 5606286871552.

The previous prime is 21102022011097. The next prime is 21102022011139. The reversal of 21102022011120 is 2111022020112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21102022011120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163364979 + ... + 163494098.

It is an arithmetic number, because the mean of its divisors is an integer number (820743144858).

Almost surely, 221102022011120 is an apocalyptic number.

21102022011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102022011120 is an abundant number, since it is smaller than the sum of its proper divisors (44557429577520).

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

21102022011120 is a wasteful number, since it uses less digits than its factorization.

21102022011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326859362 (or 326859356 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21102022011120 its reverse (2111022020112), we get a palindrome (23213044031232).

The spelling of 21102022011120 in words is "twenty-one trillion, one hundred two billion, twenty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 269 538 807 1076 1345 1614 2152 2690 3228 4035 4304 5380 6456 8070 10760 12912 16140 21520 32280 64560 326859077 653718154 980577231 1307436308 1634295385 1961154462 2614872616 3268590770 3922308924 4902886155 5229745232 6537181540 7844617848 9805772310 13074363080 15689235696 19611544620 26148726160 39223089240 78446178480 87925091713 175850183426 263775275139 351700366852 439625458565 527550550278 703400733704 879250917130 1055101100556 1318876375695 1406801467408 1758501834260 2110202201112 2637752751390 3517003668520 4220404402224 5275505502780 7034007337040 10551011005560 21102022011120