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10321035104 = 2517107233761
BaseRepresentation
bin10011001110010111…
…00111111101100000
3222122021211220111102
421213023213331200
5132114141110404
64424051333532
7513523231232
oct114713477540
928567756442
1010321035104
114416a56486
1220005b12a8
13c86371883
146dca50252
1540617471e
hex2672e7f60

10321035104 has 96 divisors (see below), whose sum is σ = 21837737376. Its totient is φ = 4784619520.

The previous prime is 10321035091. The next prime is 10321035113. The reversal of 10321035104 is 40153012301.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 13562084 + ... + 13562844.

It is an arithmetic number, because the mean of its divisors is an integer number (227476431).

Almost surely, 210321035104 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 10321035104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10918868688).

10321035104 is an abundant number, since it is smaller than the sum of its proper divisors (11516702272).

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

10321035104 is a wasteful number, since it uses less digits than its factorization.

10321035104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1120 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

Adding to 10321035104 its reverse (40153012301), we get a palindrome (50474047405).

The spelling of 10321035104 in words is "ten billion, three hundred twenty-one million, thirty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 17 32 34 68 107 136 214 233 272 428 466 544 761 856 932 1522 1712 1819 1864 3044 3424 3638 3728 3961 6088 7276 7456 7922 12176 12937 14552 15844 24352 24931 25874 29104 31688 49862 51748 58208 63376 81427 99724 103496 126752 162854 177313 199448 206992 325708 354626 398896 413984 423827 651416 709252 797792 847654 1302832 1384259 1418504 1695308 2605664 2768518 2837008 3014321 3390616 5537036 5674016 6028642 6781232 11074072 12057284 13562464 18972491 22148144 24114568 37944982 44296288 48229136 75889964 96458272 151779928 303559856 322532347 607119712 645064694 1290129388 2580258776 5160517552 10321035104