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10220100333131 = 1323134639253871
BaseRepresentation
bin1001010010111000110101…
…1100110010111001001011
31100012000212100211122202102
42110232031130302321023
52314421231141130011
633423014351024015
72103243420325523
oct224561534627113
940160770748672
1010220100333131
113290358222a87
121190882b0b00b
1359199c881630
14274926972683
1512acacd5173b
hex94b8d732e4b

10220100333131 has 16 divisors (see below), whose sum is σ = 11484925562880. Its totient is φ = 9023664951840.

The previous prime is 10220100333101. The next prime is 10220100333161. The reversal of 10220100333131 is 13133300102201.

It is an interprime number because it is at equal distance from previous prime (10220100333101) and next prime (10220100333161).

It is a cyclic number.

It is not a de Polignac number, because 10220100333131 - 26 = 10220100333067 is a prime.

It is a super-2 number, since 2×102201003331312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10220100333101) 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 15 ways as a sum of consecutive naturals, for example, 40130126 + ... + 40383996.

It is an arithmetic number, because the mean of its divisors is an integer number (717807847680).

Almost surely, 210220100333131 is an apocalyptic number.

10220100333131 is a deficient number, since it is larger than the sum of its proper divisors (1264825229749).

10220100333131 is a wasteful number, since it uses less digits than its factorization.

10220100333131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388546.

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10220100333131 its reverse (13133300102201), we get a palindrome (23353400435332).

The spelling of 10220100333131 in words is "ten trillion, two hundred twenty billion, one hundred million, three hundred thirty-three thousand, one hundred thirty-one".

Divisors: 1 13 23 299 134639 253871 1750307 3096697 3300323 5839033 40257061 75907429 34180937569 444352188397 786161564087 10220100333131