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10010400240420 = 2233518537778223
BaseRepresentation
bin1001000110101011101001…
…0110011011001100100100
31022102222121000010012121000
42101222322112123030210
52303002244430143140
633142414150153300
72052141023052036
oct221527226331444
938388530105530
1010010400240420
11320a428a68638
1211580ba952830
13577c90a3c838
142687124b9c56
151255d8010a30
hex91aba59b324

10010400240420 has 48 divisors (see below), whose sum is σ = 31143467416320. Its totient is φ = 2669440063968.

The previous prime is 10010400240329. The next prime is 10010400240437. The reversal of 10010400240420 is 2404200401001.

10010400240420 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 4 + 0 + 0 + 240 + 420 = 666.

It is a super-2 number, since 2×100104002404202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10010400240393 and 10010400240402.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9268888572 + ... + 9268889651.

It is an arithmetic number, because the mean of its divisors is an integer number (648822237840).

Almost surely, 210010400240420 is an apocalyptic number.

10010400240420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10010400240420 is an abundant number, since it is smaller than the sum of its proper divisors (21133067175900).

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

10010400240420 is a wasteful number, since it uses less digits than its factorization.

10010400240420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18537778241 (or 18537778233 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 10010400240420 its reverse (2404200401001), we get a palindrome (12414600641421).

The spelling of 10010400240420 in words is "ten trillion, ten billion, four hundred million, two hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 18537778223 37075556446 55613334669 74151112892 92688891115 111226669338 166840004007 185377782230 222453338676 278066673345 333680008014 370755564460 500520012021 556133346690 667360016028 834200020035 1001040024042 1112266693380 1668400040070 2002080048084 2502600060105 3336800080140 5005200120210 10010400240420