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101211220011 = 31147717431237
BaseRepresentation
bin101111001000010101…
…0001010100000101011
3100200020120202200202010
41132100222022200223
53124240033020021
6114255031411003
710212052114116
oct1362052124053
9320216680663
10101211220011
1139a18105680
1217747523a63
13970c731b85
144c81c7157d
15297573e976
hex1790a8a82b

101211220011 has 64 divisors (see below), whose sum is σ = 152794791936. Its totient is φ = 59062012800.

The previous prime is 101211220007. The next prime is 101211220039. The reversal of 101211220011 is 110022112101.

It is not a de Polignac number, because 101211220011 - 22 = 101211220007 is a prime.

It is a super-2 number, since 2×1012112200112 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101211220051) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81819285 + ... + 81820521.

It is an arithmetic number, because the mean of its divisors is an integer number (2387418624).

Almost surely, 2101211220011 is an apocalyptic number.

101211220011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101211220011 is a deficient number, since it is larger than the sum of its proper divisors (51583571925).

101211220011 is a wasteful number, since it uses less digits than its factorization.

101211220011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101211220011 its reverse (110022112101), we get a palindrome (211233332112).

The spelling of 101211220011 in words is "one hundred one billion, two hundred eleven million, two hundred twenty thousand, eleven".

Divisors: 1 3 11 33 47 71 141 213 517 743 781 1237 1551 2229 2343 3337 3711 8173 10011 13607 24519 34921 36707 40821 52753 58139 87827 104763 110121 158259 174417 263481 384131 580283 639529 919091 966097 1152393 1740849 1918587 2479391 2757273 2898291 4127869 7438173 10110001 12383607 27273301 30330003 43197277 45406559 65255461 81819903 129591831 136219677 195766383 475170047 717810071 1425510141 2153430213 3067006667 9201020001 33737073337 101211220011