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10332400331 = 1123378111361
BaseRepresentation
bin10011001111101101…
…11110101011001011
3222200002020022122202
421213312332223023
5132130043302311
64425135110415
7514021645061
oct114766765313
928602208582
1010332400331
114422409330
12200437240b
13c88820966
1470036c031
1540716be3b
hex267dbeacb

10332400331 has 32 divisors (see below), whose sum is σ = 12103451136. Its totient is φ = 8724672000.

The previous prime is 10332400321. The next prime is 10332400339. The reversal of 10332400331 is 13300423301.

It is not a de Polignac number, because 10332400331 - 210 = 10332399307 is a prime.

It is a super-2 number, since 2×103324003312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10332400339) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7591091 + ... + 7592451.

It is an arithmetic number, because the mean of its divisors is an integer number (378232848).

Almost surely, 210332400331 is an apocalyptic number.

10332400331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10332400331 is a deficient number, since it is larger than the sum of its proper divisors (1771050805).

10332400331 is a wasteful number, since it uses less digits than its factorization.

10332400331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243.

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 10332400331 its reverse (13300423301), we get a palindrome (23632823632).

The spelling of 10332400331 in words is "ten billion, three hundred thirty-two million, four hundred thousand, three hundred thirty-one".

Divisors: 1 11 23 37 253 407 811 851 1361 8921 9361 14971 18653 30007 31303 50357 205183 330077 344333 553927 690161 1103771 1158211 7591771 12141481 12740321 25386733 40839527 279254063 449234797 939309121 10332400331