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10100101331 = 47709303097
BaseRepresentation
bin10010110100000001…
…10101000011010011
3222001220010022100002
421122000311003103
5131141111220311
64350120120215
7505201305365
oct113200650323
928056108302
1010100101331
114313275691
121b5a60606b
13c4c668128
146bb57cd35
153e1a8293b
hex25a0350d3

10100101331 has 8 divisors (see below), whose sum is σ = 10329579840. Its totient is φ = 9871230528.

The previous prime is 10100101309. The next prime is 10100101409. The reversal of 10100101331 is 13310100101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10100101331 - 26 = 10100101267 is a prime.

It is a super-2 number, since 2×101001013312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10100101031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 118226 + ... + 184871.

It is an arithmetic number, because the mean of its divisors is an integer number (1291197480).

Almost surely, 210100101331 is an apocalyptic number.

10100101331 is a deficient number, since it is larger than the sum of its proper divisors (229478509).

10100101331 is an equidigital number, since it uses as much as digits as its factorization.

10100101331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303853.

The product of its (nonzero) digits is 9, while the sum is 11.

Adding to 10100101331 its reverse (13310100101), we get a palindrome (23410201432).

The spelling of 10100101331 in words is "ten billion, one hundred million, one hundred one thousand, three hundred thirty-one".

Divisors: 1 47 709 33323 303097 14245559 214895773 10100101331