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2232131031001 = 171959479924407
BaseRepresentation
bin100000011110110101011…
…000001000111111011001
321220101112001100000210201
4200132311120020333121
5243032401020443001
64425232110342201
7320160200466214
oct40366530107731
97811461300721
102232131031001
11790706859163
123007281ba961
131326485ac811
147a07002277b
153d0e21c2501
hex207b5608fd9

2232131031001 has 32 divisors (see below), whose sum is σ = 2530621440000. Its totient is φ = 1956038199552.

The previous prime is 2232131030953. The next prime is 2232131031047. The reversal of 2232131031001 is 1001301312322.

2232131031001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 2232131031001 - 219 = 2232130506713 is a prime.

It is a super-3 number, since 3×22321310310013 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2232131031001.

It is not an unprimeable number, because it can be changed into a prime (2232131031061) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91442340 + ... + 91466746.

It is an arithmetic number, because the mean of its divisors is an integer number (79081920000).

Almost surely, 22232131031001 is an apocalyptic number.

It is an amenable number.

2232131031001 is a deficient number, since it is larger than the sum of its proper divisors (298490408999).

2232131031001 is a wasteful number, since it uses less digits than its factorization.

2232131031001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29301.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2232131031001 its reverse (1001301312322), we get a palindrome (3233432343323).

The spelling of 2232131031001 in words is "two trillion, two hundred thirty-two billion, one hundred thirty-one million, thirty-one thousand, one".

Divisors: 1 17 19 59 323 1003 1121 4799 19057 24407 81583 91181 283141 414919 463733 1440013 1550077 4813397 5379679 7883461 24480221 27360247 91454543 117129193 465124199 1991196281 2225454667 6910622387 37832729339 117480580579 131301825353 2232131031001