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1025142233241 = 37611009793129
BaseRepresentation
bin11101110101011110011…
…11010001100010011001
310122000001220222012121210
432322233033101202121
5113243442402430431
62102535511453333
7134030660131410
oct16725717214231
93560056865553
101025142233241
11365840079955
1214681a087249
1375894111a29
143788d656477
151b9edb81d46
hexeeaf3d1899

1025142233241 has 32 divisors (see below), whose sum is σ = 1589305619200. Its totient is φ = 575620577280.

The previous prime is 1025142233209. The next prime is 1025142233263. The reversal of 1025142233241 is 1423322415201.

It is a happy number.

It is not a de Polignac number, because 1025142233241 - 25 = 1025142233209 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1025142233199 and 1025142233208.

It is not an unprimeable number, because it can be changed into a prime (1025142233341) 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, 895965 + ... + 1689093.

It is an arithmetic number, because the mean of its divisors is an integer number (49665800600).

Almost surely, 21025142233241 is an apocalyptic number.

It is an amenable number.

1025142233241 is a deficient number, since it is larger than the sum of its proper divisors (564163385959).

1025142233241 is a wasteful number, since it uses less digits than its factorization.

1025142233241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794209.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 1025142233241 its reverse (1423322415201), we get a palindrome (2448464648442).

The spelling of 1025142233241 in words is "one trillion, twenty-five billion, one hundred forty-two million, two hundred thirty-three thousand, two hundred forty-one".

Divisors: 1 3 7 21 61 183 427 1009 1281 3027 7063 21189 61549 184647 430843 793129 1292529 2379387 5551903 16655709 48380869 145142607 338666083 800267161 1015998249 2400801483 5601870127 16805610381 48816296821 146448890463 341714077747 1025142233241