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35122222431 = 331300823053
BaseRepresentation
bin100000101101011100…
…101001010101011111
310100122201122202121000
4200231130221111133
51033412242104211
624045051041343
72352234651642
oct405534512537
9110581582530
1035122222431
111399364060a
126982440253
13340964834a
1419b2843a59
15da8674656
hex82d72955f

35122222431 has 8 divisors (see below), whose sum is σ = 52032922160. Its totient is φ = 23414814936.

The previous prime is 35122222363. The next prime is 35122222507. The reversal of 35122222431 is 13422222153.

35122222431 is a `hidden beast` number, since 3 + 5 + 1 + 2 + 2 + 222 + 431 = 666.

It is a de Polignac number, because none of the positive numbers 2k-35122222431 is a prime.

It is a super-2 number, since 2×351222224312 (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), and also a Moran number because the ratio is a prime number: 1300823053 = 35122222431 / (3 + 5 + 1 + 2 + 2 + 2 + 2 + 2 + 4 + 3 + 1).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 35122222395 and 35122222404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35122222831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650411500 + ... + 650411553.

It is an arithmetic number, because the mean of its divisors is an integer number (6504115270).

Almost surely, 235122222431 is an apocalyptic number.

35122222431 is a deficient number, since it is larger than the sum of its proper divisors (16910699729).

35122222431 is a wasteful number, since it uses less digits than its factorization.

35122222431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1300823062 (or 1300823056 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

Adding to 35122222431 its reverse (13422222153), we get a palindrome (48544444584).

The spelling of 35122222431 in words is "thirty-five billion, one hundred twenty-two million, two hundred twenty-two thousand, four hundred thirty-one".

Divisors: 1 3 9 27 1300823053 3902469159 11707407477 35122222431