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901381427253 = 32100153491917
BaseRepresentation
bin11010001110111101000…
…01010001000000110101
310012011121211011212011200
431013132201101000311
5104232012121133003
61530031112123113
7122060033500146
oct15073641210065
93164554155150
10901381427253
1131830135360a
1212683a996499
1366ccca33c98
14318aca61acd
15186a89536a3
hexd1de851035

901381427253 has 6 divisors (see below), whose sum is σ = 1301995394934. Its totient is φ = 600920951496.

The previous prime is 901381427237. The next prime is 901381427293. The reversal of 901381427253 is 352724183109.

It is a happy number.

901381427253 is a `hidden beast` number, since 90 + 13 + 81 + 427 + 2 + 53 = 666.

It can be written as a sum of positive squares in only one way, i.e., 735489766449 + 165891660804 = 857607^2 + 407298^2 .

It is not a de Polignac number, because 901381427253 - 24 = 901381427237 is a prime.

It is a super-2 number, since 2×9013814272532 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 901381427199 and 901381427208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (901381427203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50076745950 + ... + 50076745967.

It is an arithmetic number, because the mean of its divisors is an integer number (216999232489).

Almost surely, 2901381427253 is an apocalyptic number.

It is an amenable number.

901381427253 is a deficient number, since it is larger than the sum of its proper divisors (400613967681).

901381427253 is a wasteful number, since it uses less digits than its factorization.

901381427253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100153491923 (or 100153491920 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 901381427253 in words is "nine hundred one billion, three hundred eighty-one million, four hundred twenty-seven thousand, two hundred fifty-three".

Divisors: 1 3 9 100153491917 300460475751 901381427253