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214179013997 = 13611012699941
BaseRepresentation
bin1100011101111000010…
…0000110010101101101
3202110211111121020002222
43013132010012111231
512002114311421442
6242220435325125
721321361403144
oct3073604062555
9673744536088
10214179013997
1182918519293
12356141507a5
1317273a481a0
14a51b27675b
1558881688d2
hex31de10656d

214179013997 has 32 divisors (see below), whose sum is σ = 237660726240. Its totient is φ = 191802240000.

The previous prime is 214179013933. The next prime is 214179013999. The reversal of 214179013997 is 799310971412.

214179013997 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 192318208681 + 21860805316 = 438541^2 + 147854^2 .

It is a cyclic number.

It is not a de Polignac number, because 214179013997 - 26 = 214179013933 is a prime.

It is a Smith number, since the sum of its digits (53) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214179013999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21540047 + ... + 21549987.

It is an arithmetic number, because the mean of its divisors is an integer number (7426897695).

Almost surely, 2214179013997 is an apocalyptic number.

It is an amenable number.

214179013997 is a deficient number, since it is larger than the sum of its proper divisors (23481712243).

214179013997 is a wasteful number, since it uses less digits than its factorization.

214179013997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385.

The product of its (nonzero) digits is 857304, while the sum is 53.

The spelling of 214179013997 in words is "two hundred fourteen billion, one hundred seventy-nine million, thirteen thousand, nine hundred ninety-seven".

Divisors: 1 13 61 101 269 793 1313 3497 6161 9941 16409 27169 80093 129233 213317 353197 606401 1004041 1657309 2674129 7883213 13052533 21545017 34763677 61246501 163121869 270087029 796204513 2120584297 3511131377 16475308769 214179013997