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1042131402 = 2321323143257
BaseRepresentation
bin111110000111011…
…010100111001010
32200121221202112100
4332013122213022
54113241201102
6251224254230
734552653654
oct7607324712
92617852470
101042131402
1149528a824
12251011376
13137b9bc00
149c5976d4
1561754a1c
hex3e1da9ca

1042131402 has 144 divisors (see below), whose sum is σ = 2592615168. Its totient is φ = 301916160.

The previous prime is 1042131367. The next prime is 1042131427. The reversal of 1042131402 is 2041312401.

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

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 71 ways as a sum of consecutive naturals, for example, 4054858 + ... + 4055114.

It is an arithmetic number, because the mean of its divisors is an integer number (18004272).

Almost surely, 21042131402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1042131402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1296307584).

1042131402 is an abundant number, since it is smaller than the sum of its proper divisors (1550483766).

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

1042131402 is a wasteful number, since it uses less digits than its factorization.

1042131402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365 (or 349 counting only the distinct ones).

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

The square root of 1042131402 is about 32282.0600643763. The cubic root of 1042131402 is about 1013.8510629377.

Adding to 1042131402 its reverse (2041312401), we get a palindrome (3083443803).

The spelling of 1042131402 in words is "one billion, forty-two million, one hundred thirty-one thousand, four hundred two".

Divisors: 1 2 3 6 9 13 18 26 31 39 43 62 78 86 93 117 129 169 186 234 257 258 279 338 387 403 507 514 558 559 771 774 806 1014 1118 1209 1333 1521 1542 1677 2313 2418 2666 3042 3341 3354 3627 3999 4626 5031 5239 6682 7254 7267 7967 7998 10023 10062 10478 11051 11997 14534 15717 15934 17329 20046 21801 22102 23901 23994 30069 31434 33153 34658 43433 43602 47151 47802 51987 60138 65403 66306 71703 86866 94302 99459 103571 103974 130299 130806 143406 143663 155961 198918 207142 225277 260598 287326 310713 311922 342581 390897 430989 450554 621426 675831 685162 781794 861978 932139 1027743 1292967 1346423 1351662 1864278 1867619 2027493 2055486 2585934 2692846 3083229 3735238 4039269 4054986 4453553 5602857 6166458 8078538 8907106 11205714 12117807 13360659 16808571 24235614 26721318 33617142 40081977 57896189 80163954 115792378 173688567 347377134 521065701 1042131402