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2000233310131 = 77919921186143
BaseRepresentation
bin11101000110110111001…
…100100010011110110011
321002012221200212020022001
4131012313030202132303
5230232434211411011
64130521113354431
7264340434415360
oct35066714423663
97065850766261
102000233310131
11701326615181
122837aa108a17
1311680c9b21c4
146cb51863467
153706d7167c1
hex1d1b73227b3

2000233310131 has 32 divisors (see below), whose sum is σ = 2337603584000. Its totient is φ = 1676275080480.

The previous prime is 2000233310129. The next prime is 2000233310227. The reversal of 2000233310131 is 1310133320002.

It is not a de Polignac number, because 2000233310131 - 21 = 2000233310129 is a prime.

It is a super-3 number, since 3×20002333101313 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2000233310099 and 2000233310108.

It is not an unprimeable number, because it can be changed into a prime (2000233310431) 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 31 ways as a sum of consecutive naturals, for example, 23176846 + ... + 23262988.

It is an arithmetic number, because the mean of its divisors is an integer number (73050112000).

Almost surely, 22000233310131 is an apocalyptic number.

2000233310131 is a deficient number, since it is larger than the sum of its proper divisors (337370273869).

2000233310131 is a wasteful number, since it uses less digits than its factorization.

2000233310131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86639.

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 2000233310131 its reverse (1310133320002), we get a palindrome (3310366630133).

The spelling of 2000233310131 in words is "two trillion, two hundred thirty-three million, three hundred ten thousand, one hundred thirty-one".

Divisors: 1 7 79 199 211 553 1393 1477 15721 16669 41989 86143 110047 116683 293923 603001 3317131 6805297 17142457 18176173 23219917 47637079 119997199 127233211 1354254103 1435917667 3617058427 9479778721 10051423669 25319408989 285747615733 2000233310131