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10223111141433 = 334353166140301
BaseRepresentation
bin1001010011000100000011…
…1010000111100000111001
31100012022122012012120022000
42110301000322013200321
52314443412423011213
633424233223051213
72103411136635351
oct224610072074071
940168565176260
1010223111141433
1132916627a5903
1211913832a0b09
1359205c57b5c8
14274b3078db61
1512add732cc73
hex94c40e87839

10223111141433 has 32 divisors (see below), whose sum is σ = 15789974302080. Its totient is φ = 6531307473600.

The previous prime is 10223111141431. The next prime is 10223111141437. The reversal of 10223111141433 is 33414111132201.

10223111141433 is a `hidden beast` number, since 1 + 0 + 2 + 231 + 1 + 11 + 414 + 3 + 3 = 666.

It is not a de Polignac number, because 10223111141433 - 21 = 10223111141431 is a prime.

It is a super-2 number, since 2×102231111414332 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10223111141397 and 10223111141406.

It is not an unprimeable number, because it can be changed into a prime (10223111141431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83008618 + ... + 83131683.

It is an arithmetic number, because the mean of its divisors is an integer number (493436696940).

Almost surely, 210223111141433 is an apocalyptic number.

It is an amenable number.

10223111141433 is a deficient number, since it is larger than the sum of its proper divisors (5566863160647).

10223111141433 is a wasteful number, since it uses less digits than its factorization.

10223111141433 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166140406 (or 166140400 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 10223111141433 its reverse (33414111132201), we get a palindrome (43637222273634).

The spelling of 10223111141433 in words is "ten trillion, two hundred twenty-three billion, one hundred eleven million, one hundred forty-one thousand, four hundred thirty-three".

Divisors: 1 3 9 27 43 53 129 159 387 477 1161 1431 2279 6837 20511 61533 166140301 498420903 1495262709 4485788127 7144032943 8805435953 21432098829 26416307859 64296296487 79248923577 192888889461 237746770731 378633745979 1135901237937 3407703713811 10223111141433