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10420023133431 = 321157780348159
BaseRepresentation
bin1001011110100001100111…
…0001110000010011110111
31100220010220022212012011200
42113220121301300103313
52331210201410232211
634054520442303543
72123551613151522
oct227503161602367
940803808765150
1010420023133431
11335811a45597a
1212035787b7bb3
135a77b0bb0bc2
142804906b9bb9
151310ae626b56
hex97a19c704f7

10420023133431 has 6 divisors (see below), whose sum is σ = 15051144526080. Its totient is φ = 6946682088948.

The previous prime is 10420023133417. The next prime is 10420023133493. The reversal of 10420023133431 is 13433132002401.

It is a happy number.

10420023133431 is a `hidden beast` number, since 1 + 0 + 4 + 2 + 0 + 0 + 2 + 313 + 343 + 1 = 666.

It is not a de Polignac number, because 10420023133431 - 238 = 10145145226487 is a prime.

It is a super-4 number, since 4×104200231334314 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10420023133395 and 10420023133404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10420023133031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 578890174071 + ... + 578890174088.

It is an arithmetic number, because the mean of its divisors is an integer number (2508524087680).

Almost surely, 210420023133431 is an apocalyptic number.

10420023133431 is a deficient number, since it is larger than the sum of its proper divisors (4631121392649).

10420023133431 is a wasteful number, since it uses less digits than its factorization.

10420023133431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1157780348165 (or 1157780348162 counting only the distinct ones).

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

Adding to 10420023133431 its reverse (13433132002401), we get a palindrome (23853155135832).

The spelling of 10420023133431 in words is "ten trillion, four hundred twenty billion, twenty-three million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 9 1157780348159 3473341044477 10420023133431