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10304431120 = 245196779231
BaseRepresentation
bin10011001100011000…
…10010010000010000
3222121010121100010001
421212030102100100
5132100413243440
64422255415344
7513232135144
oct114614222020
928533540101
1010304431120
114408645685
121bb6b24554
13c82aaa129
146da76b224
15404994b9a
hex266312410

10304431120 has 40 divisors (see below), whose sum is σ = 25218743040. Its totient is φ = 3904836480.

The previous prime is 10304431117. The next prime is 10304431141. The reversal of 10304431120 is 2113440301.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (19).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3388096 + ... + 3391135.

It is an arithmetic number, because the mean of its divisors is an integer number (630468576).

Almost surely, 210304431120 is an apocalyptic number.

10304431120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10304431120 is an abundant number, since it is smaller than the sum of its proper divisors (14914311920).

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

10304431120 is a wasteful number, since it uses less digits than its factorization.

10304431120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779263 (or 6779257 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10304431120 its reverse (2113440301), we get a palindrome (12417871421).

The spelling of 10304431120 in words is "ten billion, three hundred four million, four hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 304 380 760 1520 6779231 13558462 27116924 33896155 54233848 67792310 108467696 128805389 135584620 257610778 271169240 515221556 542338480 644026945 1030443112 1288053890 2060886224 2576107780 5152215560 10304431120