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10332340430 = 256173331701
BaseRepresentation
bin10011001111101101…
…10000000011001110
3222200002010021111012
421213312300003032
5132130034343210
64425133525222
7514021305326
oct114766600316
928602107435
1010332340430
114422378325
122004343812
13c887cc609
14700354286
15407159305
hex267db00ce

10332340430 has 64 divisors (see below), whose sum is σ = 19247357376. Its totient is φ = 3991680000.

The previous prime is 10332340411. The next prime is 10332340489. The reversal of 10332340430 is 3404323301.

10332340430 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 2×103323404302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10332340396 and 10332340405.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 14739080 + ... + 14739780.

It is an arithmetic number, because the mean of its divisors is an integer number (300739959).

Almost surely, 210332340430 is an apocalyptic number.

10332340430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10332340430 is a deficient number, since it is larger than the sum of its proper divisors (8915016946).

10332340430 is a wasteful number, since it uses less digits than its factorization.

10332340430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1173.

The product of its (nonzero) digits is 2592, while the sum is 23.

Adding to 10332340430 its reverse (3404323301), we get a palindrome (13736663731).

The spelling of 10332340430 in words is "ten billion, three hundred thirty-two million, three hundred forty thousand, four hundred thirty".

Divisors: 1 2 5 10 61 73 122 146 305 331 365 610 662 701 730 1402 1655 3310 3505 4453 7010 8906 20191 22265 24163 40382 42761 44530 48326 51173 85522 100955 102346 120815 201910 213805 232031 241630 255865 427610 464062 511730 1160155 1473943 2320310 2947886 3121553 6243106 7369715 14153891 14739430 15607765 16938263 28307782 31215530 33876526 70769455 84691315 141538910 169382630 1033234043 2066468086 5166170215 10332340430