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1001210011011 = 327831203715907
BaseRepresentation
bin11101001000111001100…
…01000101110110000011
310112201022001021100112200
432210130301011312003
5112400434230323021
62043541033124243
7132222626450640
oct16443461056603
93481261240480
101001210011011
11356679a4a0a1
1214205b259683
137354bb868a2
143665d020dc7
151b09cacd126
hexe91cc45d83

1001210011011 has 48 divisors (see below), whose sum is σ = 1672948402944. Its totient is φ = 565144506432.

The previous prime is 1001210011007. The next prime is 1001210011019. The reversal of 1001210011011 is 1101100121001.

It is not a de Polignac number, because 1001210011011 - 22 = 1001210011007 is a prime.

It is a super-2 number, since 2×10012100110112 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1001210010984 and 1001210011002.

It is not an unprimeable number, because it can be changed into a prime (1001210011019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 62933520 + ... + 62949426.

It is an arithmetic number, because the mean of its divisors is an integer number (34853091728).

Almost surely, 21001210011011 is an apocalyptic number.

1001210011011 is a deficient number, since it is larger than the sum of its proper divisors (671738391933).

1001210011011 is a wasteful number, since it uses less digits than its factorization.

1001210011011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28040 (or 28037 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 1001210011011 its reverse (1101100121001), we get a palindrome (2102310132012).

The spelling of 1001210011011 in words is "one trillion, one billion, two hundred ten million, eleven thousand, eleven".

Divisors: 1 3 7 9 21 63 83 249 581 747 1743 5229 12037 15907 36111 47721 84259 108333 111349 143163 252777 334047 758331 999071 1002141 1320281 2997213 3960843 6993497 8991639 9241967 11882529 20980491 27725901 62941473 83177703 191472559 574417677 1340307913 1723253031 4020923739 12062771217 15892222397 47676667191 111245556779 143030001573 333736670337 1001210011011