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2101334331012 = 2237119083210071
BaseRepresentation
bin11110100101000001010…
…010010100111010000100
321102212220121021020020220
4132211001102110322010
5233412013042043022
64245201211224340
7304550011051320
oct36450122247204
97385817236226
102101334331012
117401974a2594
1229b3047480b0
1312320263c197
14739c2c0a980
15399d943985c
hex1e941494e84

2101334331012 has 48 divisors (see below), whose sum is σ = 5603631946752. Its totient is φ = 600373337760.

The previous prime is 2101334330999. The next prime is 2101334331017.

2101334331012 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2101334331017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9897937 + ... + 10108007.

It is an arithmetic number, because the mean of its divisors is an integer number (116742332224).

Almost surely, 22101334331012 is an apocalyptic number.

It is an amenable number.

2101334331012 is an abundant number, since it is smaller than the sum of its proper divisors (3502297615740).

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

2101334331012 is a wasteful number, since it uses less digits than its factorization.

2101334331012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329168 (or 329166 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The spelling of 2101334331012 in words is "two trillion, one hundred one billion, three hundred thirty-four million, three hundred thirty-one thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 119083 210071 238166 357249 420142 476332 630213 714498 833581 840284 1260426 1428996 1470497 1667162 2500743 2520852 2940994 3334324 4411491 5001486 5881988 8822982 10002972 17645964 25015884893 50031769786 75047654679 100063539572 150095309358 175111194251 300190618716 350222388502 525333582753 700444777004 1050667165506 2101334331012