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211001013 = 3229261457
BaseRepresentation
bin11001001001110…
…01111010110101
3112201000221222100
430210321322311
5413004013023
632534252313
75141323206
oct1444717265
9481027870
10211001013
11a9117203
125a7b7099
1334939692
14200475ad
15137cdc43
hexc939eb5

211001013 has 36 divisors (see below), whose sum is σ = 321527908. Its totient is φ = 133297920.

The previous prime is 211001009. The next prime is 211001033. The reversal of 211001013 is 310100112.

It can be written as a sum of positive squares in 6 ways, for example, as 1127844 + 209873169 = 1062^2 + 14487^2 .

It is not a de Polignac number, because 211001013 - 22 = 211001009 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 211000986 and 211001004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211001033) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 461481 + ... + 461937.

Almost surely, 2211001013 is an apocalyptic number.

It is an amenable number.

211001013 is a deficient number, since it is larger than the sum of its proper divisors (110526895).

211001013 is a wasteful number, since it uses less digits than its factorization.

211001013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 582 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 211001013 is about 14525.8739151901. The cubic root of 211001013 is about 595.3351340352.

Adding to 211001013 its reverse (310100112), we get a palindrome (521101125).

Subtracting 211001013 from its reverse (310100112), we obtain a palindrome (99099099).

The spelling of 211001013 in words is "two hundred eleven million, one thousand, thirteen".

Divisors: 1 3 9 29 61 87 183 261 457 549 841 1371 1769 2523 4113 5307 7569 13253 15921 27877 39759 51301 83631 119277 153903 250893 384337 461709 808433 1153011 2425299 3459033 7275897 23444557 70333671 211001013