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1025002324431 = 3329233224113
BaseRepresentation
bin11101110101001101110…
…01100100000111001111
310121222201011201002211000
432322212321210013033
5113243201043340211
62102513553031343
7134024341001121
oct16724671440717
93558634632730
101025002324431
113657790aa338
1214679b255553
1375871137057
1437878c37211
151b9e1747656
hexeea6e641cf

1025002324431 has 48 divisors (see below), whose sum is σ = 1577721146400. Its totient is φ = 656912729088.

The previous prime is 1025002324417. The next prime is 1025002324433. The reversal of 1025002324431 is 1344232005201.

1025002324431 is a `hidden beast` number, since 102 + 500 + 2 + 3 + 24 + 4 + 31 = 666.

It is not a de Polignac number, because 1025002324431 - 25 = 1025002324399 is a prime.

It is a super-2 number, since 2×10250023244312 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1025002324395 and 1025002324404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1025002324433) 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 47 ways as a sum of consecutive naturals, for example, 42496231 + ... + 42520343.

It is an arithmetic number, because the mean of its divisors is an integer number (32869190550).

Almost surely, 21025002324431 is an apocalyptic number.

1025002324431 is a deficient number, since it is larger than the sum of its proper divisors (552718821969).

1025002324431 is an equidigital number, since it uses as much as digits as its factorization.

1025002324431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24617 (or 24378 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 1025002324431 its reverse (1344232005201), we get a palindrome (2369234329632).

The spelling of 1025002324431 in words is "one trillion, twenty-five billion, two million, three hundred twenty-four thousand, four hundred thirty-one".

Divisors: 1 3 9 27 29 87 233 261 699 783 2097 6291 6757 20271 24113 54289 60813 72339 162867 182439 217017 488601 651051 699277 1465803 1574381 2097831 4723143 5618329 6293493 14169429 16854987 18880479 42508287 50564961 151694883 162931541 488794623 1309070657 1466383869 3927211971 4399151607 11781635913 35344907739 37963049053 113889147159 341667441477 1025002324431