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1000213011 = 327127149839
BaseRepresentation
bin111011100111100…
…000101000010011
32120201002002022100
4323213200220103
54022023304021
6243130011443
733533445630
oct7347405023
92521062270
101000213011
11473659926
1223ab76b83
1312c2b3125
1496ba5187
155cc24626
hex3b9e0a13

1000213011 has 48 divisors (see below), whose sum is σ = 1677312000. Its totient is φ = 562572864.

The previous prime is 1000213001. The next prime is 1000213087. The reversal of 1000213011 is 1103120001.

1000213011 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1000213011 - 210 = 1000211987 is a prime.

It is a super-2 number, since 2×10002130112 = 2000852134747372242, which 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 = 1000212984 and 1000213002.

It is not an unprimeable number, because it can be changed into a prime (1000213001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1191730 + ... + 1192568.

It is an arithmetic number, because the mean of its divisors is an integer number (34944000).

Almost surely, 21000213011 is an apocalyptic number.

1000213011 is a deficient number, since it is larger than the sum of its proper divisors (677098989).

1000213011 is a wasteful number, since it uses less digits than its factorization.

1000213011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1000213011 is about 31626.1444219810. The cubic root of 1000213011 is about 1000.0709986257.

Adding to 1000213011 its reverse (1103120001), we get a palindrome (2103333012).

The spelling of 1000213011 in words is "one billion, two hundred thirteen thousand, eleven".

Divisors: 1 3 7 9 21 63 127 149 381 447 839 889 1043 1143 1341 2517 2667 3129 5873 7551 8001 9387 17619 18923 52857 56769 106553 125011 132461 170307 319659 375033 397383 745871 875077 958977 1125099 1192149 2237613 2625231 6712839 7875693 15876397 47629191 111134779 142887573 333404337 1000213011