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2211313010232 = 2331744373316691
BaseRepresentation
bin100000001011011100100…
…001101100011000111000
321211101210012120000000110
4200023130201230120320
5242212232112311412
64411510240104320
7315522253312134
oct40133441543070
97741705500013
102211313010232
117828a3600017
122b86983050a0
131306ab5b2731
14790572403c4
153c7c471ed3c
hex202dc86c638

2211313010232 has 128 divisors (see below), whose sum is σ = 5875044514560. Its totient is φ = 691193518080.

The previous prime is 2211313010209. The next prime is 2211313010303. The reversal of 2211313010232 is 2320103131122.

It is a super-3 number, since 3×22113130102323 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2211313010199 and 2211313010208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132477007 + ... + 132493697.

It is an arithmetic number, because the mean of its divisors is an integer number (45898785270).

Almost surely, 22211313010232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211313010232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2937522257280).

2211313010232 is an abundant number, since it is smaller than the sum of its proper divisors (3663731504328).

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

2211313010232 is a wasteful number, since it uses less digits than its factorization.

2211313010232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17893 (or 17889 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2211313010232 its reverse (2320103131122), we get a palindrome (4531416141354).

The spelling of 2211313010232 in words is "two trillion, two hundred eleven billion, three hundred thirteen million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 443 733 886 1329 1466 1772 2199 2658 2932 3544 4398 5316 5864 7531 8796 10632 12461 15062 16691 17592 22593 24922 30124 33382 37383 45186 49844 50073 60248 66764 74766 90372 99688 100146 133528 149532 180744 200292 283747 299064 324719 400584 567494 649438 851241 974157 1134988 1298876 1702482 1948314 2269976 2597752 3404964 3896628 5520223 6809928 7394113 7793256 11040446 12234503 14788226 16560669 22080892 22182339 24469006 29576452 33121338 36703509 44161784 44364678 48938012 59152904 66242676 73407018 88729356 97876024 125699921 132485352 146814036 177458712 207986551 251399842 293628072 377099763 415973102 502799684 623959653 754199526 831946204 1005599368 1247919306 1508399052 1663892408 2495838612 3016798104 4991677224 5419884829 10839769658 16259654487 21679539316 32519308974 43359078632 65038617948 92138042093 130077235896 184276084186 276414126279 368552168372 552828252558 737104336744 1105656505116 2211313010232