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1100105044470 = 2325109237147297
BaseRepresentation
bin10000000000100011010…
…111101101000111110110
310220011120012201120122200
4100000203113231013312
5121011003342410340
62201214205005330
7142323425406435
oct20004327550766
93804505646580
101100105044470
11394608688503
1215925ab53846
137c97c796b73
143b36140d11c
151d939d00330
hex100235ed1f6

1100105044470 has 96 divisors (see below), whose sum is σ = 2887792633440. Its totient is φ = 290541219840.

The previous prime is 1100105044459. The next prime is 1100105044477. The reversal of 1100105044470 is 744405010011.

1100105044470 is a `hidden beast` number, since 1 + 100 + 1 + 0 + 50 + 44 + 470 = 666.

It is a super-2 number, since 2×11001050444702 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100105044477) 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 47 ways as a sum of consecutive naturals, for example, 23235862 + ... + 23283158.

It is an arithmetic number, because the mean of its divisors is an integer number (30081173265).

Almost surely, 21100105044470 is an apocalyptic number.

1100105044470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100105044470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443896316720).

1100105044470 is an abundant number, since it is smaller than the sum of its proper divisors (1787687588970).

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

1100105044470 is a wasteful number, since it uses less digits than its factorization.

1100105044470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49790 (or 49787 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 1100105044470 in words is "one trillion, one hundred billion, one hundred five million, forty-four thousand, four hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 109 218 327 545 654 981 1090 1635 1962 2371 3270 4742 4905 7113 9810 11855 14226 21339 23710 35565 42678 47297 71130 94594 106695 141891 213390 236485 258439 283782 425673 472970 516878 709455 775317 851346 1292195 1418910 1550634 2128365 2325951 2584390 3876585 4256730 4651902 5155373 7753170 10310746 11629755 15466119 23259510 25776865 30932238 46398357 51553730 77330595 92796714 112141187 154661190 224282374 231991785 336423561 463983570 560705935 672847122 1009270683 1121411870 1682117805 2018541366 3364235610 5046353415 10092706830 12223389383 24446778766 36670168149 61116946915 73340336298 110010504447 122233893830 183350840745 220021008894 366701681490 550052522235 1100105044470