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20102100220212 = 22319107823991647
BaseRepresentation
bin1001001001000011000101…
…00010101111100100110100
32122011202000221001002102020
410210201202202233210310
510113323100124021322
6110430435524113140
74143220532412243
oct444414242574464
978152027032366
1020102100220212
11645028657171a
122307b088357b0
13b2a809c5a61a
144d6d381c495a
1524cd7d67d05c
hex1248628af934

20102100220212 has 48 divisors (see below), whose sum is σ = 49835014871040. Its totient is φ = 6288704242272.

The previous prime is 20102100220211. The next prime is 20102100220291. The reversal of 20102100220212 is 21202200120102.

It is a super-3 number, since 3×201021002202123 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20102100220191 and 20102100220200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102100220211) 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 15 ways as a sum of consecutive naturals, for example, 411971428 + ... + 412020219.

It is an arithmetic number, because the mean of its divisors is an integer number (1038229476480).

Almost surely, 220102100220212 is an apocalyptic number.

It is an amenable number.

20102100220212 is an abundant number, since it is smaller than the sum of its proper divisors (29732914650828).

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

20102100220212 is a wasteful number, since it uses less digits than its factorization.

20102100220212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823991780 (or 823991778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20102100220212 its reverse (21202200120102), we get a palindrome (41304300340314).

The spelling of 20102100220212 in words is "twenty trillion, one hundred two billion, one hundred million, two hundred twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 38 57 76 107 114 214 228 321 428 642 1284 2033 4066 6099 8132 12198 24396 823991647 1647983294 2471974941 3295966588 4943949882 9887899764 15655841293 31311682586 46967523879 62623365172 88167106229 93935047758 176334212458 187870095516 264501318687 352668424916 529002637374 1058005274748 1675175018351 3350350036702 5025525055053 6700700073404 10051050110106 20102100220212