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211010101000 = 2353211010101
BaseRepresentation
bin1100010010000100101…
…1101001111100001000
3202011122122201202200221
43010201023221330020
511424122041213000
6240534154435424
721150012156556
oct3044113517410
9664578652627
10211010101000
1181541779026
1234a8aa32b74
1316b8a37233a
14a2da460bd6
15574ed5b61a
hex31212e9f08

211010101000 has 32 divisors (see below), whose sum is σ = 493763638680. Its totient is φ = 84404040000.

The previous prime is 211010100941. The next prime is 211010101097. The reversal of 211010101000 is 101010112.

It can be written as a sum of positive squares in 4 ways, for example, as 104079792996 + 106930308004 = 322614^2 + 327002^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105504051 + ... + 105506050.

Almost surely, 2211010101000 is an apocalyptic number.

211010101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211010101000 is an abundant number, since it is smaller than the sum of its proper divisors (282753537680).

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

211010101000 is a wasteful number, since it uses less digits than its factorization.

211010101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211010122 (or 211010108 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 211010101000 its reverse (101010112), we get a palindrome (211111111112).

The spelling of 211010101000 in words is "two hundred eleven billion, ten million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 211010101 422020202 844040404 1055050505 1688080808 2110101010 4220202020 5275252525 8440404040 10550505050 21101010100 26376262625 42202020200 52752525250 105505050500 211010101000