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1011113120133 = 33194167210709
BaseRepresentation
bin11101011011010110000…
…10011101000110000101
310120122212012201102101000
432231223002131012011
5113031224424321013
62052255435123513
7133023216500124
oct16555302350605
93518765642330
101011113120133
1135a8a0aa65a6
12143b638a3599
137446977b77c
1436d1c361abb
151b47c1ec973
hexeb6b09d185

1011113120133 has 96 divisors (see below), whose sum is σ = 1639863792000. Its totient is φ = 613666056960.

The previous prime is 1011113120093. The next prime is 1011113120141. The reversal of 1011113120133 is 3310213111101.

1011113120133 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1011113120133 - 213 = 1011113111941 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011113120033) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 94411783 + ... + 94422491.

It is an arithmetic number, because the mean of its divisors is an integer number (17081914500).

Almost surely, 21011113120133 is an apocalyptic number.

It is an amenable number.

1011113120133 is a deficient number, since it is larger than the sum of its proper divisors (628750671867).

1011113120133 is a wasteful number, since it uses less digits than its factorization.

1011113120133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10912 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 1011113120133 its reverse (3310213111101), we get a palindrome (4321326231234).

The spelling of 1011113120133 in words is "one trillion, eleven billion, one hundred thirteen million, one hundred twenty thousand, one hundred thirty-three".

Divisors: 1 3 9 19 27 41 57 67 123 171 201 369 513 603 779 1107 1273 1809 2337 2747 3819 4489 7011 8241 10709 11457 13467 21033 24723 32127 34371 40401 52193 74169 85291 96381 121203 156579 184049 203471 255873 289143 439069 469737 552147 610413 717503 767619 1317207 1409211 1656441 1831239 2152509 2302857 3496931 3951621 4969323 5493717 6457527 8342311 10490793 11854863 13632557 19372581 25026933 29417623 31472379 40897671 48072701 75080799 88252869 94417137 122693013 144218103 225242397 264758607 368079039 432654309 558934837 794275821 913381319 1297962927 1676804511 1970980741 2740143957 5030413533 5912942223 8220431871 15091240599 17738826669 24661295613 37448634079 53216480007 112345902237 337037706711 1011113120133