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1055101101054 = 2371113401943711
BaseRepresentation
bin11110101101010001110…
…11010010001111111110
310201212101210212101020120
433112220323102033332
5114241321340213204
62124412354155410
7136141250245350
oct17265073221776
93655353771216
101055101101054
11377514079740
1215059b282b66
1378659b04b50
14390d24350d0
151c6a3d836d9
hexf5a8ed23fe

1055101101054 has 128 divisors (see below), whose sum is σ = 2834048286720. Its totient is φ = 252902563200.

The previous prime is 1055101101037. The next prime is 1055101101073. The reversal of 1055101101054 is 4501011015501.

It is a super-2 number, since 2×10551011010542 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24116259 + ... + 24159969.

It is an arithmetic number, because the mean of its divisors is an integer number (22141002240).

Almost surely, 21055101101054 is an apocalyptic number.

1055101101054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055101101054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417024143360).

1055101101054 is an abundant number, since it is smaller than the sum of its proper divisors (1778947185666).

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

1055101101054 is a wasteful number, since it uses less digits than its factorization.

1055101101054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47766.

The product of its (nonzero) digits is 500, while the sum is 24.

Adding to 1055101101054 its reverse (4501011015501), we get a palindrome (5556112116555).

The spelling of 1055101101054 in words is "one trillion, fifty-five billion, one hundred one million, one hundred one thousand, fifty-four".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 4019 6006 8038 12057 24114 28133 43711 44209 52247 56266 84399 87422 88418 104494 131133 132627 156741 168798 262266 265254 305977 309463 313482 365729 480821 568243 574717 611954 618926 731458 917931 928389 961642 1097187 1136486 1149434 1442463 1704729 1724151 1835862 1856778 2194374 2884926 3365747 3409458 3448302 3977701 4023019 6250673 6731494 7955402 8046038 10097241 11933103 12069057 12501346 18752019 20194482 23866206 24138114 37504038 43754711 87509422 131264133 175674509 262528266 351349018 527023527 1054047054 1229721563 1932419599 2283768617 2459443126 3689164689 3864839198 4567537234 5797258797 6851305851 7378329378 11594517594 13526937193 13702611702 15986380319 25121454787 27053874386 31972760638 40580811579 47959140957 50242909574 75364364361 81161623158 95918281914 150728728722 175850183509 351700367018 527550550527 1055101101054