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11002140434232 = 23321074872932459
BaseRepresentation
bin1010000000011010001010…
…1011000001111100111000
31102221210110002021000002100
42200012202223001330320
52420224340422343412
635222151420303400
72213610203444343
oct240064253017470
942853402230070
1011002140434232
113561a884a4922
1212983566a1b60
1361a6609cb29c
142a071394945a
151412ce55bedc
hexa01a2ac1f38

11002140434232 has 96 divisors (see below), whose sum is σ = 30137712508800. Its totient is φ = 3625644151872.

The previous prime is 11002140434209. The next prime is 11002140434287. The reversal of 11002140434232 is 23243404120011.

11002140434232 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 21 + 404 + 3 + 4 + 232 = 666.

It is a super-3 number, since 3×110021404342323 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11002140434196 and 11002140434205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2285619 + ... + 5218077.

It is an arithmetic number, because the mean of its divisors is an integer number (313934505300).

Almost surely, 211002140434232 is an apocalyptic number.

11002140434232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11002140434232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15068856254400).

11002140434232 is an abundant number, since it is smaller than the sum of its proper divisors (19135572074568).

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

11002140434232 is a wasteful number, since it uses less digits than its factorization.

11002140434232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2933065 (or 2933058 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

Adding to 11002140434232 its reverse (23243404120011), we get a palindrome (34245544554243).

The spelling of 11002140434232 in words is "eleven trillion, two billion, one hundred forty million, four hundred thirty-four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 107 214 321 428 487 642 856 963 974 1284 1461 1926 1948 2568 2922 3852 3896 4383 5844 7704 8766 11688 17532 35064 52109 104218 156327 208436 312654 416872 468981 625308 937962 1250616 1875924 2932459 3751848 5864918 8797377 11729836 17594754 23459672 26392131 35189508 52784262 70379016 105568524 211137048 313773113 627546226 941319339 1255092452 1428107533 1882638678 2510184904 2823958017 2856215066 3765277356 4284322599 5647916034 5712430132 7530554712 8568645198 11295832068 11424860264 12852967797 17137290396 22591664136 25705935594 34274580792 51411871188 102823742376 152807506031 305615012062 458422518093 611230024124 916845036186 1222460048248 1375267554279 1833690072372 2750535108558 3667380144744 5501070217116 11002140434232