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1003013442 = 234431371051
BaseRepresentation
bin111011110010001…
…100010101000010
32120220100100210000
4323302030111002
54023232412232
6243310020430
733566321304
oct7362142502
92526310700
101003013442
114751a1932
1223baa7716
1312ca539a2
14972d3974
155d0c927c
hex3bc8c542

1003013442 has 80 divisors (see below), whose sum is σ = 2318751072. Its totient is φ = 323870400.

The previous prime is 1003013441. The next prime is 1003013489. The reversal of 1003013442 is 2443103001.

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

It is not an unprimeable number, because it can be changed into a prime (1003013441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 953817 + ... + 954867.

Almost surely, 21003013442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1003013442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159375536).

1003013442 is an abundant number, since it is smaller than the sum of its proper divisors (1315737630).

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

1003013442 is a wasteful number, since it uses less digits than its factorization.

1003013442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1003013442 is about 31670.3874621072. The cubic root of 1003013442 is about 1001.0034733710.

Adding to 1003013442 its reverse (2443103001), we get a palindrome (3446116443).

The spelling of 1003013442 in words is "one billion, three million, thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 137 162 258 274 387 411 774 822 1051 1161 1233 2102 2322 2466 3153 3483 3699 5891 6306 6966 7398 9459 11097 11782 17673 18918 22194 28377 35346 45193 53019 56754 85131 90386 106038 135579 143987 159057 170262 271158 287974 318114 406737 431961 477171 813474 863922 954342 1220211 1295883 2440422 2591766 3660633 3887649 6191441 7321266 7775298 11662947 12382882 18574323 23325894 37148646 55722969 111445938 167168907 334337814 501506721 1003013442