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1054150211114 = 27111334724373
BaseRepresentation
bin11110101011100000011…
…11111011011000101010
310201202221112121011110122
433111300033323120222
5114232344423223424
62124134145243242
7136105552644440
oct17256017733052
93652845534418
101054150211114
11377076348a90
12150374933522
1378537b00c90
143904202cb90
151c64a65345e
hexf5703fb62a

1054150211114 has 96 divisors (see below), whose sum is σ = 2129666587776. Its totient is φ = 377935966080.

The previous prime is 1054150211063. The next prime is 1054150211131. The reversal of 1054150211114 is 4111120514501.

It is a super-2 number, since 2×10541502111142 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 241056632 + ... + 241061004.

It is an arithmetic number, because the mean of its divisors is an integer number (22184026956).

Almost surely, 21054150211114 is an apocalyptic number.

1054150211114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1054150211114 is an abundant number, since it is smaller than the sum of its proper divisors (1075516376662).

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

1054150211114 is a wasteful number, since it uses less digits than its factorization.

1054150211114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5100 (or 4753 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 26.

Adding to 1054150211114 its reverse (4111120514501), we get a palindrome (5165270725615).

The spelling of 1054150211114 in words is "one trillion, fifty-four billion, one hundred fifty million, two hundred eleven thousand, one hundred fourteen".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 347 694 1001 2002 2429 3817 4373 4511 4858 7634 8746 9022 26719 30611 31577 48103 49621 53438 56849 61222 63154 96206 99242 113698 120409 240818 336721 347347 397943 625339 673442 694694 795886 842863 1250678 1324499 1517431 1565317 1685726 2648998 3034862 3130634 4377373 8754746 9271493 10622017 10957219 16691741 17218487 18542986 19726603 21244034 21914438 33383482 34436974 39453206 116842187 120529409 138086221 216992633 233684374 241058818 276172442 433985266 526548557 1053097114 1518948431 3037896862 3685839899 5792034127 6845131241 7371679798 11584068254 13690262482 40544238889 47915918687 75296443651 81088477778 95831837374 150592887302 527075105557 1054150211114