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23433142131 = 34761739281
BaseRepresentation
bin10101110100101110…
…010101111101110011
32020111002120221220000
4111310232111331303
5340442341022011
614433125321043
71456460264430
oct256456257563
966432527800
1023433142131
119a35441573
12465b866183
132295a35999
1411c423cb87
1592236d356
hex574b95f73

23433142131 has 80 divisors (see below), whose sum is σ = 41223069888. Its totient is φ = 12989030400.

The previous prime is 23433142123. The next prime is 23433142153. The reversal of 23433142131 is 13124133432.

It is a happy number.

23433142131 is a `hidden beast` number, since 2 + 3 + 433 + 14 + 213 + 1 = 666.

It is not a de Polignac number, because 23433142131 - 23 = 23433142123 is a prime.

It is a super-2 number, since 2×234331421312 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 23433142095 and 23433142104.

It is not an unprimeable number, because it can be changed into a prime (23433142181) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2520211 + ... + 2529491.

Almost surely, 223433142131 is an apocalyptic number.

23433142131 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23433142131 is a deficient number, since it is larger than the sum of its proper divisors (17789927757).

23433142131 is an equidigital number, since it uses as much as digits as its factorization.

23433142131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9434 (or 9425 counting only the distinct ones).

The product of its digits is 5184, while the sum is 27.

Adding to 23433142131 its reverse (13124133432), we get a palindrome (36557275563).

The spelling of 23433142131 in words is "twenty-three billion, four hundred thirty-three million, one hundred forty-two thousand, one hundred thirty-one".

Divisors: 1 3 7 9 21 27 61 63 73 81 183 189 219 427 511 549 567 657 1281 1533 1647 1971 3843 4453 4599 4941 5913 9281 11529 13359 13797 27843 31171 34587 40077 41391 64967 83529 93513 120231 194901 250587 280539 360693 566141 584703 677513 751761 841617 1698423 1754109 2032539 2524851 3962987 4742591 5095269 5262327 6097617 11888961 14227773 15285807 18292851 35666883 41328293 42683319 45857421 54878553 107000649 123984879 128049957 289298051 321001947 371954637 384149871 867894153 1115863911 2603682459 3347591733 7811047377 23433142131