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1001223133431 = 34310176845739
BaseRepresentation
bin11101001000111011000…
…11001001100011110111
310112201022221222001010020
432210131203021203313
5112401001110232211
62043542222300223
7132223146133503
oct16443543114367
93481287861106
101001223133431
113566863a2174
12142063727673
13735517cc731
1436660a79303
151b09dd21306
hexe91d8c98f7

1001223133431 has 16 divisors (see below), whose sum is σ = 1379534724480. Its totient is φ = 645504199200.

The previous prime is 1001223133411. The next prime is 1001223133457. The reversal of 1001223133431 is 1343313221001.

It is not a de Polignac number, because 1001223133431 - 25 = 1001223133399 is a prime.

It is a super-4 number, since 4×10012231334314 (a number of 49 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001223133411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 38409841 + ... + 38435898.

It is an arithmetic number, because the mean of its divisors is an integer number (86220920280).

Almost surely, 21001223133431 is an apocalyptic number.

1001223133431 is a deficient number, since it is larger than the sum of its proper divisors (378311591049).

1001223133431 is a wasteful number, since it uses less digits than its factorization.

1001223133431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76845886.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 1001223133431 its reverse (1343313221001), we get a palindrome (2344536354432).

The spelling of 1001223133431 in words is "one trillion, one billion, two hundred twenty-three million, one hundred thirty-three thousand, four hundred thirty-one".

Divisors: 1 3 43 101 129 303 4343 13029 76845739 230537217 3304366777 7761419639 9913100331 23284258917 333741044477 1001223133431