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1020202020211 = 1119431311675189
BaseRepresentation
bin11101101100010001100…
…01110110110101110011
310121112022122002101100211
432312020301312311303
5113203333204121321
62100401353524551
7133464362043103
oct16661061666563
93545278071324
101020202020211
11363735497770
1214587b713757
137528778715a
14375414b9203
151b8100da0e1
hexed88c76d73

1020202020211 has 64 divisors (see below), whose sum is σ = 1215386726400. Its totient is φ = 846395222400.

The previous prime is 1020202020209. The next prime is 1020202020247. The reversal of 1020202020211 is 1120202020201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 1020202020211 - 21 = 1020202020209 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1020202020191 and 1020202020200.

It is not an unprimeable number, because it can be changed into a prime (1020202020511) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 196606005 + ... + 196611193.

It is an arithmetic number, because the mean of its divisors is an integer number (18990417600).

Almost surely, 21020202020211 is an apocalyptic number.

1020202020211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1020202020211 is a deficient number, since it is larger than the sum of its proper divisors (195184706189).

1020202020211 is a wasteful number, since it uses less digits than its factorization.

1020202020211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5560.

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1020202020211 its reverse (1120202020201), we get a palindrome (2140404040412).

The spelling of 1020202020211 in words is "one trillion, twenty billion, two hundred two million, twenty thousand, two hundred eleven".

Divisors: 1 11 19 43 131 167 209 473 817 1441 1837 2489 3173 5189 5633 7181 8987 21877 27379 34903 57079 61963 78991 98591 107027 136439 223127 240647 415663 679759 866563 940711 1084501 1177297 1500829 2454397 4239413 4572293 7477349 9532193 10347821 12915421 16464697 17873509 29229637 37262209 46633543 113519753 142069631 181111667 196608599 321526007 409884299 555363103 707981971 1248717283 2156875307 4881349379 6108994133 7787801681 23725628377 53694843169 92745638201 1020202020211