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1042013401 = 1121341107151
BaseRepresentation
bin111110000110111…
…101110011011001
32200121201202122221
4332012331303121
54113223412101
6251221544041
734551652642
oct7606756331
92617652587
101042013401
1149520a100
12250b75021
13137b5a2a0
149c5666c9
156172eaa1
hex3e1bdcd9

1042013401 has 48 divisors (see below), whose sum is σ = 1283796864. Its totient is φ = 839520000.

The previous prime is 1042013383. The next prime is 1042013417. The reversal of 1042013401 is 1043102401.

It is not a de Polignac number, because 1042013401 - 215 = 1041980633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1042013491) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6900676 + ... + 6900826.

It is an arithmetic number, because the mean of its divisors is an integer number (26745768).

Almost surely, 21042013401 is an apocalyptic number.

1042013401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1042013401 is a deficient number, since it is larger than the sum of its proper divisors (241783463).

1042013401 is a wasteful number, since it uses less digits than its factorization.

1042013401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1042013401 is about 32280.2323566606. The cubic root of 1042013401 is about 1013.8127952251.

Adding to 1042013401 its reverse (1043102401), we get a palindrome (2085115802).

The spelling of 1042013401 in words is "one billion, forty-two million, thirteen thousand, four hundred one".

Divisors: 1 11 13 41 107 121 143 151 451 533 1177 1391 1573 1661 1963 4387 4961 5863 6191 12947 15301 16157 18271 21593 48257 57031 64493 68101 80483 168311 177727 210041 237523 530827 627341 662437 749111 885313 1954997 2310451 6900751 7286807 8611681 9738443 25414961 80154877 94728491 1042013401