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10455404130 = 2335371046587
BaseRepresentation
bin10011011110011000…
…01100111001100010
3222222122200120011000
421233030030321202
5132403040413010
64445251332430
7520044316533
oct115714147142
928878616130
1010455404130
114485891966
1220395b1116
13ca8159b82
1471282a68a
15412d677c0
hex26f30ce62

10455404130 has 64 divisors (see below), whose sum is σ = 28634647680. Its totient is φ = 2712750912.

The previous prime is 10455404077. The next prime is 10455404143. The reversal of 10455404130 is 3140455401.

It is a happy number.

10455404130 is a `hidden beast` number, since 10 + 45 + 540 + 41 + 30 = 666.

10455404130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10455404094 and 10455404103.

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 31 ways as a sum of consecutive naturals, for example, 513304 + ... + 533283.

It is an arithmetic number, because the mean of its divisors is an integer number (447416370).

Almost surely, 210455404130 is an apocalyptic number.

10455404130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10455404130 is an abundant number, since it is smaller than the sum of its proper divisors (18179243550).

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

10455404130 is a wasteful number, since it uses less digits than its factorization.

10455404130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046640 (or 1046634 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10455404130 its reverse (3140455401), we get a palindrome (13595859531).

The spelling of 10455404130 in words is "ten billion, four hundred fifty-five million, four hundred four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 45 54 74 90 111 135 185 222 270 333 370 555 666 999 1110 1665 1998 3330 4995 9990 1046587 2093174 3139761 5232935 6279522 9419283 10465870 15698805 18838566 28257849 31397610 38723719 47096415 56515698 77447438 94192830 116171157 141289245 193618595 232342314 282578490 348513471 387237190 580855785 697026942 1045540413 1161711570 1742567355 2091080826 3485134710 5227702065 10455404130