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1217386401 = 371110749253
BaseRepresentation
bin100100010001111…
…1101011110100001
310010211201122012020
41020203331132201
54443122331101
6320444452053
742111420330
oct11043753641
93124648166
101217386401
11575201470
1229b84a029
131652a10aa
14b7977d17
1571d22136
hex488fd7a1

1217386401 has 32 divisors (see below), whose sum is σ = 2042661888. Its totient is φ = 626485440.

The previous prime is 1217386397. The next prime is 1217386409. The reversal of 1217386401 is 1046837121.

1217386401 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1217386401 - 22 = 1217386397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (1217386409) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91 + ... + 49343.

It is an arithmetic number, because the mean of its divisors is an integer number (63833184).

Almost surely, 21217386401 is an apocalyptic number.

1217386401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1217386401 is a deficient number, since it is larger than the sum of its proper divisors (825275487).

1217386401 is a wasteful number, since it uses less digits than its factorization.

1217386401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49381.

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 1217386401 is about 34891.0647730905. The cubic root of 1217386401 is about 1067.7661495809.

The spelling of 1217386401 in words is "one billion, two hundred seventeen million, three hundred eighty-six thousand, four hundred one".

Divisors: 1 3 7 11 21 33 77 107 231 321 749 1177 2247 3531 8239 24717 49253 147759 344771 541783 1034313 1625349 3792481 5270071 11377443 15810213 36890497 57970781 110671491 173912343 405795467 1217386401