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1001100055050 = 232522396724643
BaseRepresentation
bin11101001000101100011…
…01101001001000001010
310112201000101101000022200
432210112031221020022
5112400223103230200
62043522104301030
7132220123031424
oct16442615511012
93481011330280
101001100055050
113566229785a7
1214202a471776
13735321685a4
143664c59b814
151b09310d800
hexe91636920a

1001100055050 has 72 divisors (see below), whose sum is σ = 2806562270304. Its totient is φ = 255353054880.

The previous prime is 1001100055019. The next prime is 1001100055063. The reversal of 1001100055050 is 505500011001.

1001100055050 is a `hidden beast` number, since 1 + 0 + 0 + 110 + 0 + 0 + 550 + 5 + 0 = 666.

It is a super-2 number, since 2×10011000550502 (a number of 25 digits) contains 22 as substring.

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

It is a Curzon number.

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 35 ways as a sum of consecutive naturals, for example, 48351972 + ... + 48372671.

It is an arithmetic number, because the mean of its divisors is an integer number (38980031532).

Almost surely, 21001100055050 is an apocalyptic number.

1001100055050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001100055050 is an abundant number, since it is smaller than the sum of its proper divisors (1805462215254).

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

1001100055050 is a wasteful number, since it uses less digits than its factorization.

1001100055050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96724684 (or 96724676 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Adding to 1001100055050 its reverse (505500011001), we get a palindrome (1506600066051).

The spelling of 1001100055050 in words is "one trillion, one billion, one hundred million, fifty-five thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 23 25 30 45 46 50 69 75 90 115 138 150 207 225 230 345 414 450 575 690 1035 1150 1725 2070 3450 5175 10350 96724643 193449286 290173929 483623215 580347858 870521787 967246430 1450869645 1741043574 2224666789 2418116075 2901739290 4352608935 4449333578 4836232150 6674000367 7254348225 8705217870 11123333945 13348000734 14508696450 20022001101 21763044675 22246667890 33370001835 40044002202 43526089350 55616669725 66740003670 100110005505 111233339450 166850009175 200220011010 333700018350 500550027525 1001100055050