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21211110102020 = 2254612300554241
BaseRepresentation
bin1001101001010100110001…
…01011101101010000000100
32210002202120201210021110012
410310222120223231100010
510240010323141231040
6113040125514445352
74316311040025626
oct464523053552004
983082521707405
1021211110102020
116838643753223
122466a31a33858
13bab2785659b7
145348a2116c16
1526bb3a10d865
hex134a98aed404

21211110102020 has 24 divisors (see below), whose sum is σ = 44639954511768. Its totient is φ = 8466039603200.

The previous prime is 21211110101977. The next prime is 21211110102023. The reversal of 21211110102020 is 2020101111212.

It can be written as a sum of positive squares in 4 ways, for example, as 500310070276 + 20710800031744 = 707326^2 + 4550912^2 .

It is a super-2 number, since 2×212111101020202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21211110101986 and 21211110102004.

It is not an unprimeable number, because it can be changed into a prime (21211110102023) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1150267901 + ... + 1150286340.

It is an arithmetic number, because the mean of its divisors is an integer number (1859998104657).

Almost surely, 221211110102020 is an apocalyptic number.

21211110102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21211110102020 is an abundant number, since it is smaller than the sum of its proper divisors (23428844409748).

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

21211110102020 is a wasteful number, since it uses less digits than its factorization.

21211110102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300554711 (or 2300554709 counting only the distinct ones).

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

Adding to 21211110102020 its reverse (2020101111212), we get a palindrome (23231211213232).

The spelling of 21211110102020 in words is "twenty-one trillion, two hundred eleven billion, one hundred ten million, one hundred two thousand, twenty".

Divisors: 1 2 4 5 10 20 461 922 1844 2305 4610 9220 2300554241 4601108482 9202216964 11502771205 23005542410 46011084820 1060555505101 2121111010202 4242222020404 5302777525505 10605555051010 21211110102020