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12214304400233 = 1310114962433509
BaseRepresentation
bin1011000110111101110101…
…0001100110001101101001
31121020200020212121121111002
42301233131101212031221
53100104343411301413
641551101325044345
72400311564242205
oct261573521461551
947220225547432
1012214304400233
11398a06a453681
1214532699b66b5
136a7a5b3c94c0
14303265773b05
15162ac70a5958
hexb1bdd466369

12214304400233 has 16 divisors (see below), whose sum is σ = 13373257842000. Its totient is φ = 11088191020800.

The previous prime is 12214304400209. The next prime is 12214304400241. The reversal of 12214304400233 is 33200440341221.

It can be written as a sum of positive squares in 8 ways, for example, as 2197414887424 + 10016889512809 = 1482368^2 + 3164947^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12214304400233 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12214304400196 and 12214304400205.

It is not an unprimeable number, because it can be changed into a prime (12214304400283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31021118 + ... + 31412391.

It is an arithmetic number, because the mean of its divisors is an integer number (835828615125).

Almost surely, 212214304400233 is an apocalyptic number.

12214304400233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12214304400233 is a deficient number, since it is larger than the sum of its proper divisors (1158953441767).

12214304400233 is a wasteful number, since it uses less digits than its factorization.

12214304400233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62433772.

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 12214304400233 its reverse (33200440341221), we get a palindrome (45414744741454).

The spelling of 12214304400233 in words is "twelve trillion, two hundred fourteen billion, three hundred four million, four hundred thousand, two hundred thirty-three".

Divisors: 1 13 101 149 1313 1937 15049 195637 62433509 811635617 6305784409 9302592841 81975197317 120933706933 939561876941 12214304400233