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10322321020 = 2251157182171
BaseRepresentation
bin10011001110100001…
…00001111001111100
3222122101021020102221
421213100201321330
5132120003233040
64424135055124
7513540165244
oct114720417174
928571236387
1010322321020
114417754620
122000b114a4
13c86701c7b
146dcca6b24
1540632a74a
hex267421e7c

10322321020 has 48 divisors (see below), whose sum is σ = 23689201536. Its totient is φ = 3746952000.

The previous prime is 10322320993. The next prime is 10322321029. The reversal of 10322321020 is 2012322301.

10322321020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×103223210202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10322320985 and 10322321003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10322321029) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 84535 + ... + 166705.

It is an arithmetic number, because the mean of its divisors is an integer number (493525032).

Almost surely, 210322321020 is an apocalyptic number.

10322321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10322321020 is an abundant number, since it is smaller than the sum of its proper divisors (13366880516).

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

10322321020 is a wasteful number, since it uses less digits than its factorization.

10322321020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82762 (or 82760 counting only the distinct ones).

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

Adding to 10322321020 its reverse (2012322301), we get a palindrome (12334643321).

The spelling of 10322321020 in words is "ten billion, three hundred twenty-two million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 571 1142 2284 2855 5710 6281 11420 12562 25124 31405 62810 82171 125620 164342 328684 410855 821710 903881 1643420 1807762 3615524 4519405 9038810 18077620 46919641 93839282 187678564 234598205 469196410 516116051 938392820 1032232102 2064464204 2580580255 5161160510 10322321020