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13122144432 = 243291126003
BaseRepresentation
bin11000011100010010…
…00000100010110000
31020212111122000010100
430032021000202300
5203333232110212
610010033032400
7643115246565
oct141611004260
936774560110
1013122144432
115624121371
1226626b5700
131311799a07
148c6a8286c
1551c02cbdc
hex30e2408b0

13122144432 has 30 divisors (see below), whose sum is σ = 36723779612. Its totient is φ = 4374048096.

The previous prime is 13122144421. The next prime is 13122144481. The reversal of 13122144432 is 23444122131.

13122144432 is a `hidden beast` number, since 1 + 3 + 1 + 2 + 214 + 443 + 2 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13122144396 and 13122144405.

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 5 ways as a sum of consecutive naturals, for example, 45562858 + ... + 45563145.

Almost surely, 213122144432 is an apocalyptic number.

13122144432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13122144432 is an abundant number, since it is smaller than the sum of its proper divisors (23601635180).

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

13122144432 is a wasteful number, since it uses less digits than its factorization.

13122144432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91126017 (or 91126008 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 13122144432 its reverse (23444122131), we get a palindrome (36566266563).

The spelling of 13122144432 in words is "thirteen billion, one hundred twenty-two million, one hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 91126003 182252006 273378009 364504012 546756018 729008024 820134027 1093512036 1458016048 1640268054 2187024072 3280536108 4374048144 6561072216 13122144432