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1021010002011 = 321713150940977
BaseRepresentation
bin11101101101110001111…
…00000100000001011011
310121121101221110010000200
432312320330010001123
5113212012030031021
62101013455433243
7133523402552136
oct16667074040133
93547357403020
101021010002011
1136400a58a41a
12145a66225823
1375385ca30ac
14375ba92121d
151b85aedc126
hexedb8f0405b

1021010002011 has 24 divisors (see below), whose sum is σ = 1573464928464. Its totient is φ = 635743380480.

The previous prime is 1021010001997. The next prime is 1021010002049. The reversal of 1021010002011 is 1102000101201.

It is a happy number.

1021010002011 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 1021010002011 - 211 = 1021009999963 is a prime.

It is a super-2 number, since 2×10210100020112 (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 = 1021010001984 and 1021010002002.

It is not an unprimeable number, because it can be changed into a prime (1021010002091) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25450446 + ... + 25490531.

It is an arithmetic number, because the mean of its divisors is an integer number (65561038686).

Almost surely, 21021010002011 is an apocalyptic number.

1021010002011 is a deficient number, since it is larger than the sum of its proper divisors (552454926453).

1021010002011 is a wasteful number, since it uses less digits than its factorization.

1021010002011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50941131 (or 50941128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1021010002011 its reverse (1102000101201), we get a palindrome (2123010103212).

The spelling of 1021010002011 in words is "one trillion, twenty-one billion, ten million, two thousand, eleven".

Divisors: 1 3 9 17 51 131 153 393 1179 2227 6681 20043 50940977 152822931 458468793 865996609 2597989827 6673267987 7793969481 20019803961 60059411883 113445555779 340336667337 1021010002011