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1021001132322 = 232412236203903
BaseRepresentation
bin11101101101110000110…
…10001110100100100010
310121121101022202111002200
432312320122032210202
5113212002242213242
62101012541354030
7133523234301033
oct16667032164442
93547338674080
101021001132322
113640055814a6
12145a63268916
13753841b8b62
14375b9692a8a
151b85a33904c
hexedb868e922

1021001132322 has 48 divisors (see below), whose sum is σ = 2276286824448. Its totient is φ = 330543898560.

The previous prime is 1021001132321. The next prime is 1021001132339. The reversal of 1021001132322 is 2232311001201.

1021001132322 is a `hidden beast` number, since 1 + 0 + 210 + 0 + 1 + 132 + 322 = 666.

1021001132322 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10210011323222 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1021001132295 and 1021001132304.

It is not an unprimeable number, because it can be changed into a prime (1021001132321) 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, 2937378 + ... + 3266525.

It is an arithmetic number, because the mean of its divisors is an integer number (47422642176).

Almost surely, 21021001132322 is an apocalyptic number.

1021001132322 is an abundant number, since it is smaller than the sum of its proper divisors (1255285692126).

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

1021001132322 is a wasteful number, since it uses less digits than its factorization.

1021001132322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204175 (or 6204172 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1021001132322 its reverse (2232311001201), we get a palindrome (3253312133523).

The spelling of 1021001132322 in words is "one trillion, twenty-one billion, one million, one hundred thirty-two thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 41 82 123 223 246 369 446 669 738 1338 2007 4014 9143 18286 27429 54858 82287 164574 6203903 12407806 18611709 37223418 55835127 111670254 254360023 508720046 763080069 1383470369 1526160138 2289240207 2766940738 4150411107 4578480414 8300822214 12451233321 24902466642 56722285129 113444570258 170166855387 340333710774 510500566161 1021001132322