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1042223104 = 2121323237
BaseRepresentation
bin111110000111110…
…001000000000000
32200122010102022201
4332013301000000
54113302114404
6251230242544
734553515216
oct7607610000
92618112281
101042223104
1149534270a
12251056454
13137c01880
149c5bccb6
1561771ca4
hex3e1f1000

1042223104 has 156 divisors (see below), whose sum is σ = 2409759436. Its totient is φ = 447676416.

The previous prime is 1042223101. The next prime is 1042223107. The reversal of 1042223104 is 4013222401.

It is an interprime number because it is at equal distance from previous prime (1042223101) and next prime (1042223107).

It can be written as a sum of positive squares in 2 ways, for example, as 554696704 + 487526400 = 23552^2 + 22080^2 .

It is a super-2 number, since 2×10422231042 = 2172457997022789632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1042223101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28168174 + ... + 28168210.

Almost surely, 21042223104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1204879718).

1042223104 is an abundant number, since it is smaller than the sum of its proper divisors (1367536332).

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

1042223104 is an equidigital number, since it uses as much as digits as its factorization.

1042223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1042223104 is about 32283.4803576070. The cubic root of 1042223104 is about 1013.8807998925.

Adding to 1042223104 its reverse (4013222401), we get a palindrome (5055445505).

The spelling of 1042223104 in words is "one billion, forty-two million, two hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 8 13 16 23 26 32 37 46 52 64 74 92 104 128 148 184 208 256 296 299 368 416 481 512 529 592 598 736 832 851 962 1024 1058 1184 1196 1472 1664 1702 1924 2048 2116 2368 2392 2944 3328 3404 3848 4096 4232 4736 4784 5888 6656 6808 6877 7696 8464 9472 9568 11063 11776 13312 13616 13754 15392 16928 18944 19136 19573 22126 23552 26624 27232 27508 30784 33856 37888 38272 39146 44252 47104 53248 54464 55016 61568 67712 75776 76544 78292 88504 94208 108928 110032 123136 135424 151552 153088 156584 177008 217856 220064 246272 254449 270848 306176 313168 354016 435712 440128 492544 508898 541696 612352 626336 708032 871424 880256 985088 1017796 1083392 1224704 1252672 1416064 1742848 1760512 1970176 2035592 2166784 2505344 2832128 3485696 3521024 4071184 5010688 5664256 7042048 8142368 10021376 11328512 14084096 16284736 20042752 22657024 28168192 32569472 40085504 45314048 65138944 80171008 130277888 260555776 521111552 1042223104