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1042013400210 = 232537312916937
BaseRepresentation
bin11110010100111001101…
…01101010110010010010
310200121121201001021211200
433022130311222302102
5114033020412301320
62114405551252030
7135166030522206
oct17123465526222
93617551037750
101042013400210
11371a08443352
12149b4821a016
1377352507873
143861019ab06
151c189dab290
hexf29cd6ac92

1042013400210 has 48 divisors (see below), whose sum is σ = 2782457412696. Its totient is φ = 270360232704.

The previous prime is 1042013400199. The next prime is 1042013400227. The reversal of 1042013400210 is 120043102401.

1042013400210 is a `hidden beast` number, since 1 + 0 + 42 + 0 + 13 + 400 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 965819183121 + 76194217089 = 982761^2 + 276033^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 156455139 + ... + 156461798.

Almost surely, 21042013400210 is an apocalyptic number.

1042013400210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1042013400210 is an abundant number, since it is smaller than the sum of its proper divisors (1740444012486).

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

1042013400210 is a wasteful number, since it uses less digits than its factorization.

1042013400210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312916987 (or 312916984 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1042013400210 its reverse (120043102401), we get a palindrome (1162056502611).

The spelling of 1042013400210 in words is "one trillion, forty-two billion, thirteen million, four hundred thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 312916937 625833874 938750811 1564584685 1877501622 2816252433 3129169370 4693754055 5632504866 9387508110 11577926669 14081262165 23155853338 28162524330 34733780007 57889633345 69467560014 104201340021 115779266690 173668900035 208402680042 347337800070 521006700105 1042013400210