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101031001211 = 731745529969
BaseRepresentation
bin101111000010111101…
…0101011110001111011
3100122210000122122000202
41132011322223301323
53123402414014321
6114225112552415
710204433224640
oct1360572536173
9318700578022
10101031001211
1139935403618
12176b70b270b
1396b12b252a
144c65d5bdc7
1529649e170b
hex1785eabc7b

101031001211 has 8 divisors (see below), whose sum is σ = 115828243680. Its totient is φ = 86324819328.

The previous prime is 101031001157. The next prime is 101031001213. The reversal of 101031001211 is 112100130101.

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 a de Polignac number, because none of the positive numbers 2k-101031001211 is a prime.

It is a super-3 number, since 3×1010310012113 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101031001192 and 101031001201.

It is not an unprimeable number, because it can be changed into a prime (101031001213) 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 7 ways as a sum of consecutive naturals, for example, 22762766 + ... + 22767203.

It is an arithmetic number, because the mean of its divisors is an integer number (14478530460).

Almost surely, 2101031001211 is an apocalyptic number.

101031001211 is a deficient number, since it is larger than the sum of its proper divisors (14797242469).

101031001211 is an equidigital number, since it uses as much as digits as its factorization.

101031001211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45530293.

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 101031001211 its reverse (112100130101), we get a palindrome (213131131312).

The spelling of 101031001211 in words is "one hundred one billion, thirty-one million, one thousand, two hundred eleven".

Divisors: 1 7 317 2219 45529969 318709783 14433000173 101031001211