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102000323112331 = 71011436291004477
BaseRepresentation
bin10111001100010011001101…
…000001101010110110001011
3111101011010122220011012001011
4113030103031001222312023
5101332133130204043311
61000534145045104351
730325165044100630
oct2714231501526613
9441133586135034
10102000323112331
112a556104288046
12b5344199b80b7
1344bb78760b037
141b28bb0570187
15bbd3e0d24321
hex5cc4cd06ad8b

102000323112331 has 16 divisors (see below), whose sum is σ = 117726910914240. Its totient is φ = 86562527356800.

The previous prime is 102000323112307. The next prime is 102000323112349. The reversal of 102000323112331 is 133211323000201.

It is a cyclic number.

It is not a de Polignac number, because 102000323112331 - 227 = 102000188894603 is a prime.

It is a super-2 number, since 2×1020003231123312 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102000323113331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101043465 + ... + 102047941.

It is an arithmetic number, because the mean of its divisors is an integer number (7357931932140).

Almost surely, 2102000323112331 is an apocalyptic number.

102000323112331 is a deficient number, since it is larger than the sum of its proper divisors (15726587801909).

102000323112331 is a wasteful number, since it uses less digits than its factorization.

102000323112331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148214.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102000323112331 its reverse (133211323000201), we get a palindrome (235211646112532).

The spelling of 102000323112331 in words is "one hundred two trillion, three hundred twenty-three million, one hundred twelve thousand, three hundred thirty-one".

Divisors: 1 7 101 707 143629 1004477 1005403 7031339 14506529 101452177 101545703 710165239 144272027033 1009904189231 14571474730333 102000323112331