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1012244422101 = 311267101412081
BaseRepresentation
bin11101011101011100111…
…10000001110111010101
310120202210001110111220220
432232232132001313111
5113041034033001401
62053004010544553
7133063234423443
oct16565636016725
93522701414826
101012244422101
11360321650500
1214421a738159
13745b9c6bc13
1436dc86cbb93
151b4e66b8336
hexebae781dd5

1012244422101 has 48 divisors (see below), whose sum is σ = 1520562800064. Its totient is φ = 598340160000.

The previous prime is 1012244422099. The next prime is 1012244422103.

It is a happy number.

1012244422101 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (1012244422099) and next prime (1012244422103).

It is not a de Polignac number, because 1012244422101 - 21 = 1012244422099 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1012244422103) 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, 2250381 + ... + 2662461.

It is an arithmetic number, because the mean of its divisors is an integer number (31678391668).

Almost surely, 21012244422101 is an apocalyptic number.

1012244422101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1012244422101 is a deficient number, since it is larger than the sum of its proper divisors (508318377963).

1012244422101 is a wasteful number, since it uses less digits than its factorization.

1012244422101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412274 (or 412263 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The spelling of 1012244422101 in words is "one trillion, twelve billion, two hundred forty-four million, four hundred twenty-two thousand, one hundred one".

Divisors: 1 3 11 33 67 101 121 201 303 363 737 1111 2211 3333 6767 8107 12221 20301 24321 36663 74437 223311 412081 818807 1236243 2456421 4532891 13598673 27609427 41620181 49861801 82828281 124860543 149585403 303703697 457821991 911111091 1373465973 2788552127 3340740667 5036041901 8365656381 10022222001 15108125703 30674073397 92022220191 337414807367 1012244422101