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1002322213131 = 31492242331573
BaseRepresentation
bin11101001010111110000…
…11110011100100001011
310112211011120002002000210
432211133003303210023
5112410223441310011
62044243243332203
7132262323144501
oct16453703634413
93484146062023
101002322213131
1135709a838aa8
1214230b821063
137369841a555
1436726a18671
151b1155746a6
hexe95f0f390b

1002322213131 has 8 divisors (see below), whose sum is σ = 1345398944400. Its totient is φ = 663730145312.

The previous prime is 1002322213117. The next prime is 1002322213147. The reversal of 1002322213131 is 1313122232001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1002322213131 - 210 = 1002322212107 is a prime.

It is a super-3 number, since 3×10023222131313 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 1002322213098 and 1002322213107.

It is not an unprimeable number, because it can be changed into a prime (1002322213331) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1121165340 + ... + 1121166233.

It is an arithmetic number, because the mean of its divisors is an integer number (168174868050).

Almost surely, 21002322213131 is an apocalyptic number.

1002322213131 is a deficient number, since it is larger than the sum of its proper divisors (343076731269).

1002322213131 is a wasteful number, since it uses less digits than its factorization.

1002322213131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242331725.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1002322213131 its reverse (1313122232001), we get a palindrome (2315444445132).

The spelling of 1002322213131 in words is "one trillion, two billion, three hundred twenty-two million, two hundred thirteen thousand, one hundred thirty-one".

Divisors: 1 3 149 447 2242331573 6726994719 334107404377 1002322213131