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21220121111020 = 225131014219191533
BaseRepresentation
bin1001101001100101100011…
…10001111110100111101100
32210010121211201120221222021
410310302301301332213230
510240132302001023040
6113044220011555524
74320050245241116
oct464626161764754
983117751527867
1021220121111020
1168414481836a7
12246872775bba4
13bac08339bba0
145350b8b963b6
1526beb626224a
hex134cb1c7e9ec

21220121111020 has 96 divisors (see below), whose sum is σ = 48477010236480. Its totient is φ = 7755666969600.

The previous prime is 21220121111011. The next prime is 21220121111023. The reversal of 21220121111020 is 2011112102212.

It is a junction number, because it is equal to n+sod(n) for n = 21220121110985 and 21220121111003.

It is not an unprimeable number, because it can be changed into a prime (21220121111023) 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, 110695174 + ... + 110886706.

It is an arithmetic number, because the mean of its divisors is an integer number (504968856630).

Almost surely, 221220121111020 is an apocalyptic number.

21220121111020 is a gapful number since it is divisible by the number (20) 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 21220121111020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24238505118240).

21220121111020 is an abundant number, since it is smaller than the sum of its proper divisors (27256889125460).

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

21220121111020 is a wasteful number, since it uses less digits than its factorization.

21220121111020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 195875 (or 195873 counting only the distinct ones).

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

Adding to 21220121111020 its reverse (2011112102212), we get a palindrome (23231233213232).

The spelling of 21220121111020 in words is "twenty-one trillion, two hundred twenty billion, one hundred twenty-one million, one hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 4219 5252 6565 8438 13130 16876 21095 26260 42190 54847 84380 109694 191533 219388 274235 383066 426119 548470 766132 852238 957665 1096940 1704476 1915330 2130595 2489929 3830660 4261190 4979858 5539547 8522380 9959716 11079094 12449645 19344833 22158188 24899290 27697735 38689666 49798580 55395470 77379332 96724165 110790940 193448330 251482829 386896660 502965658 808077727 1005931316 1257414145 1616155454 2514828290 3232310908 4040388635 5029656580 8080777270 10505010451 16161554540 21010020902 42020041804 52525052255 81615850427 105050104510 163231700854 210100209020 326463401708 408079252135 816158504270 1061006055551 1632317008540 2122012111102 4244024222204 5305030277755 10610060555510 21220121111020