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2413012401 = 324110096481
BaseRepresentation
bin1000111111010011…
…1010010110110001
320020011111201201200
42033310322112301
514420212344101
61035235121413
7113540160402
oct21764722661
96204451650
102413012401
11102909aa28
12574143269
132c5bc36b7
1418c6899a9
15e1c96986
hex8fd3a5b1

2413012401 has 24 divisors (see below), whose sum is σ = 3574563720. Its totient is φ = 1567641600.

The previous prime is 2413012361. The next prime is 2413012421. The reversal of 2413012401 is 1042103142.

It can be written as a sum of positive squares in 4 ways, for example, as 200250801 + 2212761600 = 14151^2 + 47040^2 .

It is not a de Polignac number, because 2413012401 - 29 = 2413011889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2413012421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369081 + ... + 375561.

It is an arithmetic number, because the mean of its divisors is an integer number (148940155).

Almost surely, 22413012401 is an apocalyptic number.

It is an amenable number.

2413012401 is a deficient number, since it is larger than the sum of its proper divisors (1161551319).

2413012401 is a wasteful number, since it uses less digits than its factorization.

2413012401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7537 (or 7534 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 2413012401 is about 49122.4225888748. The cubic root of 2413012401 is about 1341.2812429885.

Adding to 2413012401 its reverse (1042103142), we get a palindrome (3455115543).

The spelling of 2413012401 in words is "two billion, four hundred thirteen million, twelve thousand, four hundred one".

Divisors: 1 3 9 41 123 369 1009 3027 6481 9081 19443 41369 58329 124107 265721 372321 797163 2391489 6539329 19617987 58853961 268112489 804337467 2413012401