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10321023040 = 26567641751
BaseRepresentation
bin10011001110010111…
…00101000001000000
3222122021211021221121
421213023211001000
5132114140214130
64424051202024
7513523151116
oct114713450100
928567737847
1010321023040
114416a48409
1220005a6314
13c86369233
146dca49ab6
15406170d7a
hex2672e5040

10321023040 has 112 divisors (see below), whose sum is σ = 25015935744. Its totient is φ = 4055040000.

The previous prime is 10321022993. The next prime is 10321023043. The reversal of 10321023040 is 4032012301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (10321023043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13742665 + ... + 13743415.

Almost surely, 210321023040 is an apocalyptic number.

10321023040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10321023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12507967872).

10321023040 is an abundant number, since it is smaller than the sum of its proper divisors (14694912704).

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

10321023040 is an equidigital number, since it uses as much as digits as its factorization.

10321023040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1476 (or 1466 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10321023040 its reverse (4032012301), we get a palindrome (14353035341).

The spelling of 10321023040 in words is "ten billion, three hundred twenty-one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 134 160 268 320 335 536 641 670 751 1072 1282 1340 1502 2144 2564 2680 3004 3205 3755 4288 5128 5360 6008 6410 7510 10256 10720 12016 12820 15020 20512 21440 24032 25640 30040 41024 42947 48064 50317 51280 60080 85894 100634 102560 120160 171788 201268 205120 214735 240320 251585 343576 402536 429470 481391 503170 687152 805072 858940 962782 1006340 1374304 1610144 1717880 1925564 2012680 2406955 2748608 3220288 3435760 3851128 4025360 4813910 6871520 7702256 8050720 9627820 13743040 15404512 16101440 19255640 30809024 32253197 38511280 64506394 77022560 129012788 154045120 161265985 258025576 322531970 516051152 645063940 1032102304 1290127880 2064204608 2580255760 5160511520 10321023040