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2123041120400 = 245238873136537
BaseRepresentation
bin11110111001001111000…
…111001010000010010000
321111221221101102101101102
4132321033013022002100
5234240442011323100
64303151151123532
7306245636525504
oct36711707120220
97457841371342
102123041120400
11749416401752
122a35622135a8
131252817cc765
1474a81a64304
153a359e4acd5
hex1ee4f1ca090

2123041120400 has 60 divisors (see below), whose sum is σ = 5100774861732. Its totient is φ = 849188382720.

The previous prime is 2123041120393. The next prime is 2123041120457. The reversal of 2123041120400 is 40211403212.

It can be written as a sum of positive squares in 6 ways, for example, as 225116087296 + 1897925033104 = 474464^2 + 1377652^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 15480932 + ... + 15617468.

Almost surely, 22123041120400 is an apocalyptic number.

2123041120400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2123041120400 is an abundant number, since it is smaller than the sum of its proper divisors (2977733741332).

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

2123041120400 is a wasteful number, since it uses less digits than its factorization.

2123041120400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175428 (or 175417 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2123041120400 its reverse (40211403212), we get a palindrome (2163252523612).

The spelling of 2123041120400 in words is "two trillion, one hundred twenty-three billion, forty-one million, one hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 38873 77746 136537 155492 194365 273074 310984 388730 546148 621968 682685 777460 971825 1092296 1365370 1554920 1943650 2184592 2730740 3109840 3413425 3887300 5461480 6826850 7774600 10922960 13653700 15549200 27307400 54614800 5307602801 10615205602 21230411204 26538014005 42460822408 53076028010 84921644816 106152056020 132690070025 212304112040 265380140050 424608224080 530760280100 1061520560200 2123041120400