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11000234067642 = 23283241103129633
BaseRepresentation
bin1010000000010011000100…
…0010110100011010111010
31102221121112020002112202100
42200010301002310122322
52420211434410131032
635221234320244230
72213512024550301
oct240046102643272
942847466075670
1011000234067642
11356119a3a0446
121297b04170676
1361a418a78911
142a05b26a5438
1514121bee297c
hexa01310b46ba

11000234067642 has 96 divisors (see below), whose sum is σ = 24245393268096. Its totient is φ = 3603914956800.

The previous prime is 11000234067631. The next prime is 11000234067659. The reversal of 11000234067642 is 24676043200011.

11000234067642 is a `hidden beast` number, since 1 + 1 + 0 + 0 + 0 + 2 + 3 + 4 + 0 + 6 + 7 + 642 = 666.

It is a super-2 number, since 2×110002340676422 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11000234067597 and 11000234067606.

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 47 ways as a sum of consecutive naturals, for example, 371200858 + ... + 371230490.

It is an arithmetic number, because the mean of its divisors is an integer number (252556179876).

Almost surely, 211000234067642 is an apocalyptic number.

11000234067642 is an abundant number, since it is smaller than the sum of its proper divisors (13245159200454).

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

11000234067642 is a wasteful number, since it uses less digits than its factorization.

11000234067642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30996 (or 30993 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

Adding to 11000234067642 its reverse (24676043200011), we get a palindrome (35676277267653).

The spelling of 11000234067642 in words is "eleven trillion, two hundred thirty-four million, sixty-seven thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 83 166 241 249 482 498 723 747 1031 1446 1494 2062 2169 3093 4338 6186 9279 18558 20003 29633 40006 59266 60009 85573 88899 120018 171146 177798 180027 248471 256719 266697 360054 496942 513438 533394 745413 770157 1490826 1540314 2236239 2459539 4472478 4919078 7141553 7378617 14283106 14757234 20623093 21424659 22135851 30551623 41246186 42849318 44271702 61103246 61869279 64273977 91654869 123738558 128547954 183309738 185607837 274964607 371215674 549929214 592748899 1185497798 1778246697 2535784709 3556493394 5071569418 5334740091 7362941143 7607354127 10669480182 14725882286 15214708254 22088823429 22822062381 44177646858 45644124762 66266470287 132532940574 611124114869 1222248229738 1833372344607 3666744689214 5500117033821 11000234067642