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1011100110048 = 2534755726417
BaseRepresentation
bin11101011011010100100…
…00110100110011100000
310120122211022020102220000
432231222100310303200
5113031213112010143
62052254252220000
7133023001062630
oct16555220646340
93518738212800
101011100110048
1135a89471a966
12143b5b46a600
1374466b74ab2
1436d1a7366c0
151b47aeccbd3
hexeb6a434ce0

1011100110048 has 120 divisors (see below), whose sum is σ = 3398419875312. Its totient is φ = 288885740544.

The previous prime is 1011100109989. The next prime is 1011100110049. The reversal of 1011100110048 is 8400110011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1011100110048.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011100110049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27845065 + ... + 27881352.

Almost surely, 21011100110048 is an apocalyptic number.

1011100110048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1011100110048 is an abundant number, since it is smaller than the sum of its proper divisors (2387319765264).

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

1011100110048 is an equidigital number, since it uses as much as digits as its factorization.

1011100110048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55726446 (or 55726429 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 1011100110048 its reverse (8400110011101), we get a palindrome (9411210121149).

The spelling of 1011100110048 in words is "one trillion, eleven billion, one hundred million, one hundred ten thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4536 6048 9072 18144 55726417 111452834 167179251 222905668 334358502 390084919 445811336 501537753 668717004 780169838 891622672 1003075506 1170254757 1337434008 1504613259 1560339676 1783245344 2006151012 2340509514 2674868016 3009226518 3120679352 3510764271 4012302024 4513839777 4681019028 5349736032 6018453036 6241358704 7021528542 8024604048 9027679554 9362038056 10532292813 12036906072 12482717408 14043057084 16049208096 18055359108 18724076112 21064585626 24073812144 28086114168 31596878439 36110718216 37448152224 42129171252 48147624288 56172228336 63193756878 72221436432 84258342504 112344456672 126387513756 144442872864 168516685008 252775027512 337033370016 505550055024 1011100110048