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211200101001 = 33172320005693
BaseRepresentation
bin1100010010110010000…
…0011100101010001001
3202012010220020202201000
43010230200130222021
511430014211213001
6241005103045213
721154510144461
oct3045440345211
9665126222630
10211200101001
1181629a5091a
1234b225a0809
1316bba837a86
14a31779cba1
15576188ca86
hex312c81ca89

211200101001 has 32 divisors (see below), whose sum is σ = 345698392320. Its totient is φ = 126756064512.

The previous prime is 211200100963. The next prime is 211200101053. The reversal of 211200101001 is 100101002112.

It is a happy number.

It is not a de Polignac number, because 211200101001 - 27 = 211200100873 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (211200101701) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9992290 + ... + 10013403.

It is an arithmetic number, because the mean of its divisors is an integer number (10803074760).

Almost surely, 2211200101001 is an apocalyptic number.

It is an amenable number.

211200101001 is a deficient number, since it is larger than the sum of its proper divisors (134498291319).

211200101001 is a wasteful number, since it uses less digits than its factorization.

211200101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20005742 (or 20005736 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 211200101001 its reverse (100101002112), we get a palindrome (311301103113).

The spelling of 211200101001 in words is "two hundred eleven billion, two hundred million, one hundred one thousand, one".

Divisors: 1 3 9 17 23 27 51 69 153 207 391 459 621 1173 3519 10557 20005693 60017079 180051237 340096781 460130939 540153711 1020290343 1380392817 3060871029 4141178451 7822225963 9182613087 12423535353 23466677889 70400033667 211200101001