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211332101001 = 3749120495791
BaseRepresentation
bin1100010011010001011…
…1111111001110001001
3202012111002122001122220
43010310113333032021
511430302004213001
6241030140204253
721161002135230
oct3046427771611
9665432561586
10211332101001
118169750942a
1234b5a839689
1316c0bca3998
14a32b11db17
15576d263c36
hex31345ff389

211332101001 has 16 divisors (see below), whose sum is σ = 322685749248. Its totient is φ = 120515245200.

The previous prime is 211332100999. The next prime is 211332101047. The reversal of 211332101001 is 100101233112.

It is a happy number.

It is not a de Polignac number, because 211332101001 - 21 = 211332100999 is a prime.

It is a super-2 number, since 2×2113321010012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211332101501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10237585 + ... + 10258206.

It is an arithmetic number, because the mean of its divisors is an integer number (20167859328).

Almost surely, 2211332101001 is an apocalyptic number.

211332101001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

211332101001 is a deficient number, since it is larger than the sum of its proper divisors (111353648247).

211332101001 is a wasteful number, since it uses less digits than its factorization.

211332101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20496292.

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 211332101001 its reverse (100101233112), we get a palindrome (311433334113).

The spelling of 211332101001 in words is "two hundred eleven billion, three hundred thirty-two million, one hundred one thousand, one".

Divisors: 1 3 7 21 491 1473 3437 10311 20495791 61487373 143470537 430411611 10063433381 30190300143 70444033667 211332101001