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1123200430400 = 26522772534297
BaseRepresentation
bin10000010110000011111…
…101100111000101000000
310222101011202202202010202
4100112003331213011000
5121400303302233100
62215554031144332
7144101645063216
oct20260375470500
93871152682122
101123200430400
113a338a3a7814
121618256750a8
1381bc05425b9
143c51284acb6
151e33c6a27d5
hex10583f67140

1123200430400 has 84 divisors (see below), whose sum is σ = 2773753680828. Its totient is φ = 447658045440.

The previous prime is 1123200430381. The next prime is 1123200430411. The reversal of 1123200430400 is 40340023211.

It can be written as a sum of positive squares in 6 ways, for example, as 80628738304 + 1042571692096 = 283952^2 + 1021064^2 .

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

It is a congruent 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 11 ways as a sum of consecutive naturals, for example, 823949 + ... + 1710348.

Almost surely, 21123200430400 is an apocalyptic number.

1123200430400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1123200430400 is an abundant number, since it is smaller than the sum of its proper divisors (1650553250428).

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

1123200430400 is a wasteful number, since it uses less digits than its factorization.

1123200430400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2534596 (or 2534581 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 1123200430400 its reverse (40340023211), we get a palindrome (1163540453611).

The spelling of 1123200430400 in words is "one trillion, one hundred twenty-three billion, two hundred million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 277 320 400 554 800 1108 1385 1600 2216 2770 4432 5540 6925 8864 11080 13850 17728 22160 27700 44320 55400 88640 110800 221600 443200 2534297 5068594 10137188 12671485 20274376 25342970 40548752 50685940 63357425 81097504 101371880 126714850 162195008 202743760 253429700 405487520 506859400 702000269 810975040 1013718800 1404000538 2027437600 2808001076 3510001345 4054875200 5616002152 7020002690 11232004304 14040005380 17550006725 22464008608 28080010760 35100013450 44928017216 56160021520 70200026900 112320043040 140400053800 224640086080 280800107600 561600215200 1123200430400