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12210140431433 = 72853585749877
BaseRepresentation
bin1011000110101110010100…
…0101010100010001001001
31121020021111200101002010102
42301223211011110101021
53100022331422301213
641545132220455145
72400103443136400
oct261534505242111
947207450332112
1012210140431433
113988322a5724a
1214524a73aa4b5
136a7546827a39
14302d8c73a637
15162931742158
hexb1ae5154449

12210140431433 has 24 divisors (see below), whose sum is σ = 14222997201672. Its totient is φ = 10451570863104.

The previous prime is 12210140431339. The next prime is 12210140431493. The reversal of 12210140431433 is 33413404101221.

It can be written as a sum of positive squares in 4 ways, for example, as 71069161744 + 12139071269689 = 266588^2 + 3484117^2 .

It is not a de Polignac number, because 12210140431433 - 212 = 12210140427337 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12210140431396 and 12210140431405.

It is not an unprimeable number, because it can be changed into a prime (12210140431493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 244780091 + ... + 244829967.

It is an arithmetic number, because the mean of its divisors is an integer number (592624883403).

Almost surely, 212210140431433 is an apocalyptic number.

It is an amenable number.

12210140431433 is a deficient number, since it is larger than the sum of its proper divisors (2012856770239).

12210140431433 is an equidigital number, since it uses as much as digits as its factorization.

12210140431433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56601 (or 56594 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 12210140431433 its reverse (33413404101221), we get a palindrome (45623544532654).

The spelling of 12210140431433 in words is "twelve trillion, two hundred ten billion, one hundred forty million, four hundred thirty-one thousand, four hundred thirty-three".

Divisors: 1 7 49 853 5857 5971 40999 41797 49877 286993 349139 2443973 4996021 34972147 42545081 244805029 292129589 297815567 2044907123 2084708969 14314349861 249186539417 1744305775919 12210140431433