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10420431012 = 2232823735141
BaseRepresentation
bin10011011010001101…
…10010100010100100
3222220012212202001100
421231012302202210
5132320112243022
64442002000100
7516141126225
oct115506624244
928805782040
1010420431012
114468075062
122029946030
13ca0b33414
1470bd2524c
1540ec5a1ac
hex26d1b28a4

10420431012 has 36 divisors (see below), whose sum is σ = 26344481436. Its totient is φ = 3472956480.

The previous prime is 10420431001. The next prime is 10420431017. The reversal of 10420431012 is 21013402401.

It can be written as a sum of positive squares in 2 ways, for example, as 5472152676 + 4948278336 = 73974^2 + 70344^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10420431017) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 278962 + ... + 314102.

It is an arithmetic number, because the mean of its divisors is an integer number (731791151).

Almost surely, 210420431012 is an apocalyptic number.

10420431012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10420431012 is an abundant number, since it is smaller than the sum of its proper divisors (15924050424).

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

10420431012 is a wasteful number, since it uses less digits than its factorization.

10420431012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43388 (or 43383 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10420431012 its reverse (21013402401), we get a palindrome (31433833413).

The spelling of 10420431012 in words is "ten billion, four hundred twenty million, four hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 8237 16474 24711 32948 35141 49422 70282 74133 98844 105423 140564 148266 210846 296532 316269 421692 632538 1265076 289456417 578912834 868369251 1157825668 1736738502 2605107753 3473477004 5210215506 10420431012