Search a number
-
+
1002245125401 = 321321097600673
BaseRepresentation
bin11101001010110100111…
…01101111010100011001
310112210222012000121112200
432211122131233110121
5112410044223003101
62044231451200413
7132260366001102
oct16453235572431
93483865017480
101002245125401
11357060276933
121422a9a46109
1373685469900
143671a6ad3a9
151b10d8e8986
hexe95a76f519

1002245125401 has 36 divisors (see below), whose sum is σ = 1569045783708. Its totient is φ = 616202975232.

The previous prime is 1002245125333. The next prime is 1002245125471. The reversal of 1002245125401 is 1045215422001.

It is a happy number.

1002245125401 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 245 + 12 + 5 + 401 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 358561440000 + 643683685401 = 598800^2 + 802299^2 .

It is not a de Polignac number, because 1002245125401 - 211 = 1002245123353 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1002245125471) 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 35 ways as a sum of consecutive naturals, for example, 1368201 + ... + 1968873.

It is an arithmetic number, because the mean of its divisors is an integer number (43584605103).

Almost surely, 21002245125401 is an apocalyptic number.

It is an amenable number.

1002245125401 is a deficient number, since it is larger than the sum of its proper divisors (566800658307).

1002245125401 is a wasteful number, since it uses less digits than its factorization.

1002245125401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601802 (or 601786 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The spelling of 1002245125401 in words is "one trillion, two billion, two hundred forty-five million, one hundred twenty-five thousand, four hundred one".

Divisors: 1 3 9 13 39 117 169 507 1097 1521 3291 9873 14261 42783 128349 185393 556179 600673 1668537 1802019 5406057 7808749 23426247 70278741 101513737 304541211 658938281 913623633 1976814843 5930444529 8566197653 25698592959 77095778877 111360569489 334081708467 1002245125401