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21220102211100 = 22352135441051849
BaseRepresentation
bin1001101001100101100001…
…01001111000011000011100
32210010121210102000202011020
410310302300221320120130
510240132232131223400
6113044214054524140
74320046625503242
oct464626051703034
983117712022136
1021220102211100
116841438544931
122468721366650
13bac07c4b23c0
145350b6476792
1526beb477c2a0
hex134cb0a7861c

21220102211100 has 72 divisors (see below), whose sum is σ = 66119662081200. Its totient is φ = 5223409774080.

The previous prime is 21220102211093. The next prime is 21220102211101. The reversal of 21220102211100 is 111220102212.

It is a super-2 number, since 2×212201022111002 (a number of 27 digits) contains 22 as substring.

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 21220102211100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220102211101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2720522025 + ... + 2720529824.

Almost surely, 221220102211100 is an apocalyptic number.

21220102211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220102211100 is an abundant number, since it is smaller than the sum of its proper divisors (44899559870100).

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

21220102211100 is a wasteful number, since it uses less digits than its factorization.

21220102211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5441051879 (or 5441051872 counting only the distinct ones).

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

Adding to 21220102211100 its reverse (111220102212), we get a palindrome (21331322313312).

The spelling of 21220102211100 in words is "twenty-one trillion, two hundred twenty billion, one hundred two million, two hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 5441051849 10882103698 16323155547 21764207396 27205259245 32646311094 54410518490 65292622188 70733674037 81615777735 108821036980 136026296225 141467348074 163231555470 212201022111 272052592450 282934696148 326463110940 353668370185 408078888675 424402044222 544105184900 707336740370 816157777350 848804088444 1061005110555 1414673480740 1632315554700 1768341850925 2122010221110 3536683701850 4244020442220 5305025552775 7073367403700 10610051105550 21220102211100