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21220101111220 = 22511613499451909
BaseRepresentation
bin1001101001100101100001…
…00101101011110110110100
32210010121210022221212101221
410310302300211223312310
510240132231341024340
6113044214015200124
74320046613242504
oct464626045536664
983117708855357
1021220101111220
116841437963540
122468720b16044
13bac07c1b889b
145350b626ba04
1526beb461144a
hex134cb096bdb4

21220101111220 has 96 divisors (see below), whose sum is σ = 49424492880000. Its totient is φ = 7587716083200.

The previous prime is 21220101111203. The next prime is 21220101111257. The reversal of 21220101111220 is 2211110102212.

21220101111220 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 21220101111194 and 21220101111203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46730626 + ... + 47182534.

It is an arithmetic number, because the mean of its divisors is an integer number (514838467500).

Almost surely, 221220101111220 is an apocalyptic number.

21220101111220 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 21220101111220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24712246440000).

21220101111220 is an abundant number, since it is smaller than the sum of its proper divisors (28204391768780).

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

21220101111220 is a wasteful number, since it uses less digits than its factorization.

21220101111220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455489 (or 455487 counting only the distinct ones).

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

Adding to 21220101111220 its reverse (2211110102212), we get a palindrome (23431211213432).

The spelling of 21220101111220 in words is "twenty-one trillion, two hundred twenty billion, one hundred one million, one hundred eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 61 110 122 220 244 305 610 671 1220 1342 2684 3355 3499 6710 6998 13420 13996 17495 34990 38489 69980 76978 153956 192445 213439 384890 426878 451909 769780 853756 903818 1067195 1807636 2134390 2259545 2347829 4268780 4519090 4695658 4970999 9038180 9391316 9941998 11739145 19883996 23478290 24854995 27566449 46956580 49709990 55132898 99419980 110265796 137832245 275664490 303230939 551328980 606461878 1212923756 1516154695 1581229591 3032309390 3162459182 6064618780 6324918364 7906147955 15812295910 17393525501 31624591820 34787051002 69574102004 86967627505 96455005051 173935255010 192910010102 347870510020 385820020204 482275025255 964550050510 1061005055561 1929100101020 2122010111122 4244020222244 5305025277805 10610050555610 21220101111220