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1001200131030 = 235115357244147
BaseRepresentation
bin11101001000111000010…
…11011001101111010110
310112201021100200101202110
432210130023121233112
5112400424213143110
62043540041251450
7132222446461221
oct16443413315726
93481240611673
101001200131030
11356674411120
12142057a93b86
1373549b07848
143665b9ac5b8
151b09bccaa20
hexe91c2d9bd6

1001200131030 has 64 divisors (see below), whose sum is σ = 2670782969088. Its totient is φ = 238135647360.

The previous prime is 1001200131013. The next prime is 1001200131047. The reversal of 1001200131030 is 301310021001.

1001200131030 is digitally balanced in base 12, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1001200131013) and next prime (1001200131047).

1001200131030 is strictly pandigital in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 1001200130997 and 1001200131015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28604584 + ... + 28639563.

It is an arithmetic number, because the mean of its divisors is an integer number (41730983892).

Almost surely, 21001200131030 is an apocalyptic number.

1001200131030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001200131030 is an abundant number, since it is smaller than the sum of its proper divisors (1669582838058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001200131030 is a wasteful number, since it uses less digits than its factorization.

1001200131030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57244221.

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 1001200131030 its reverse (301310021001), we get a palindrome (1302510152031).

The spelling of 1001200131030 in words is "one trillion, one billion, two hundred million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 53 55 66 106 110 159 165 265 318 330 530 583 795 1166 1590 1749 2915 3498 5830 8745 17490 57244147 114488294 171732441 286220735 343464882 572441470 629685617 858662205 1259371234 1717324410 1889056851 3033939791 3148428085 3778113702 6067879582 6296856170 9101819373 9445284255 15169698955 18203638746 18890568510 30339397910 33373337701 45509096865 66746675402 91018193730 100120013103 166866688505 200240026206 333733377010 500600065515 1001200131030