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21102122022020 = 22513586913828933
BaseRepresentation
bin1001100110001001110000…
…11111001011010010000100
32202201100021011111011100122
410303010320133023102010
510231214121214201040
6112514103034001112
74305402153443354
oct463047037132204
982640234434318
1021102122022020
1167a63a5828636
122449895b76198
13ba0bc98ba730
1452d4c34a4b64
15268dabc9e1b5
hex1331387cb484

21102122022020 has 48 divisors (see below), whose sum is σ = 47731395437040. Its totient is φ = 7790224605696.

The previous prime is 21102122021993. The next prime is 21102122022053. The reversal of 21102122022020 is 2022022120112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5399479447684 + 15702642574336 = 2323678^2 + 3962656^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 21102122022020.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5388527 + ... + 8440406.

It is an arithmetic number, because the mean of its divisors is an integer number (994404071605).

Almost surely, 221102122022020 is an apocalyptic number.

21102122022020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21102122022020 is an abundant number, since it is smaller than the sum of its proper divisors (26629273415020).

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

21102122022020 is a wasteful number, since it uses less digits than its factorization.

21102122022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13834824 (or 13834822 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21102122022020 its reverse (2022022120112), we get a palindrome (23124144142132).

The spelling of 21102122022020 in words is "twenty-one trillion, one hundred two billion, one hundred twenty-two million, twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 5869 11738 23476 29345 58690 76297 117380 152594 305188 381485 762970 1525940 13828933 27657866 55315732 69144665 138289330 179776129 276578660 359552258 719104516 898880645 1797761290 3595522580 81162007777 162324015554 324648031108 405810038885 811620077770 1055106101101 1623240155540 2110212202202 4220424404404 5275530505505 10551061011010 21102122022020