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1022010301332 = 223237767275001
BaseRepresentation
bin11101101111101001000…
…11111001101110010100
310121200222122200120201200
432313310203321232110
5113221034114120312
62101301031352500
7133560240140526
oct16676443715624
93550878616650
101022010301332
11364483198079
121460a5222730
13754b52b6597
1437673709a16
151b8b8c2c0dc
hexedf48f9b94

1022010301332 has 36 divisors (see below), whose sum is σ = 2653236956916. Its totient is φ = 331462800000.

The previous prime is 1022010301331. The next prime is 1022010301393. The reversal of 1022010301332 is 2331030102201.

1022010301332 is a `hidden beast` number, since 1 + 0 + 2 + 20 + 10 + 301 + 332 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 400757366916 + 621252934416 = 633054^2 + 788196^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022010301331) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 383636169 + ... + 383638832.

It is an arithmetic number, because the mean of its divisors is an integer number (73701026581).

Almost surely, 21022010301332 is an apocalyptic number.

1022010301332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1022010301332 is an abundant number, since it is smaller than the sum of its proper divisors (1631226655584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1022010301332 is a wasteful number, since it uses less digits than its factorization.

1022010301332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 767275048 (or 767275043 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1022010301332 its reverse (2331030102201), we get a palindrome (3353040403533).

The spelling of 1022010301332 in words is "one trillion, twenty-two billion, ten million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 767275001 1534550002 2301825003 3069100004 4603650006 6905475009 9207300012 13810950018 27621900036 28389175037 56778350074 85167525111 113556700148 170335050222 255502575333 340670100444 511005150666 1022010301332