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201220011006 = 23783113510817
BaseRepresentation
bin1011101101100110100…
…1011011001111111110
3201020101100221122222020
42323121221123033332
511244044310323011
6232234511101010
720352263605260
oct2733151331776
9636340848866
10201220011006
11783784a5563
1232bb8211766
1315c89ccba91
149a4c13db30
15537a614006
hex2ed9a5b3fe

201220011006 has 64 divisors (see below), whose sum is σ = 469592944128. Its totient is φ = 56296009728.

The previous prime is 201220010987. The next prime is 201220011019. The reversal of 201220011006 is 600110022102.

It is a super-2 number, since 2×2012200110062 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 138510 + ... + 649326.

It is an arithmetic number, because the mean of its divisors is an integer number (7337389752).

Almost surely, 2201220011006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201220011006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234796472064).

201220011006 is an abundant number, since it is smaller than the sum of its proper divisors (268372933122).

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

201220011006 is a wasteful number, since it uses less digits than its factorization.

201220011006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 511025.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 201220011006 its reverse (600110022102), we get a palindrome (801330033108).

The spelling of 201220011006 in words is "two hundred one billion, two hundred twenty million, eleven thousand, six".

Divisors: 1 2 3 6 7 14 21 42 83 113 166 226 249 339 498 581 678 791 1162 1582 1743 2373 3486 4746 9379 18758 28137 56274 65653 131306 196959 393918 510817 1021634 1532451 3064902 3575719 7151438 10727157 21454314 42397811 57722321 84795622 115444642 127193433 173166963 254386866 296784677 346333926 404056247 593569354 808112494 890354031 1212168741 1780708062 2424337482 4790952643 9581905286 14372857929 28745715858 33536668501 67073337002 100610005503 201220011006