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1010000221011 = 34192659246811
BaseRepresentation
bin11101011001010001011…
…01000101001101010011
310120112222122121021210000
432230220231011031103
5113021440024033021
62051553201541043
7132653514141225
oct16545055051523
93515878537700
101010000221011
1135a37a880a61
121438b3044783
1374320032792
1436c54626415
151b414669b26
hexeb28b45353

1010000221011 has 40 divisors (see below), whose sum is σ = 1588778206400. Its totient is φ = 637652392560.

The previous prime is 1010000220923. The next prime is 1010000221057. The reversal of 1010000221011 is 1101220000101.

It is a happy number.

1010000221011 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1010000221011 - 218 = 1009999958867 is a prime.

It is a super-3 number, since 3×10100002210113 (a number of 37 digits) contains 333 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 = 1010000220984 and 1010000221002.

It is not an unprimeable number, because it can be changed into a prime (1010000221211) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3968796 + ... + 4215606.

It is an arithmetic number, because the mean of its divisors is an integer number (39719455160).

Almost surely, 21010000221011 is an apocalyptic number.

1010000221011 is a deficient number, since it is larger than the sum of its proper divisors (578777985389).

1010000221011 is a wasteful number, since it uses less digits than its factorization.

1010000221011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249501 (or 249492 counting only the distinct ones).

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

Adding to 1010000221011 its reverse (1101220000101), we get a palindrome (2111220221112).

The spelling of 1010000221011 in words is "one trillion, ten billion, two hundred twenty-one thousand, eleven".

Divisors: 1 3 9 19 27 57 81 171 513 1539 2659 7977 23931 50521 71793 151563 215379 246811 454689 740433 1364067 2221299 4092201 4689409 6663897 14068227 19991691 42204681 126614043 379842129 656270449 1968811347 5906434041 12469138531 17719302123 37407415593 53157906369 112222246779 336666740337 1010000221011