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213988418119 = 7175359575063
BaseRepresentation
bin1100011101001010110…
…1000010001001000111
3202110100012221221201101
43013102231002021013
512001222013334434
6242145510240531
721313555354060
oct3072255021107
9673305857641
10213988418119
118282a979833
1235580356147
1317243404468
14a4ddc21567
15587656ab14
hex31d2b42247

213988418119 has 32 divisors (see below), whose sum is σ = 268301859840. Its totient is φ = 166501151232.

The previous prime is 213988418081. The next prime is 213988418131. The reversal of 213988418119 is 911814889312.

It is a cyclic number.

It is not a de Polignac number, because 213988418119 - 29 = 213988417607 is a prime.

It is a super-2 number, since 2×2139884181192 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 213988418119.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213988418419) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84582 + ... + 659644.

It is an arithmetic number, because the mean of its divisors is an integer number (8384433120).

Almost surely, 2213988418119 is an apocalyptic number.

213988418119 is a deficient number, since it is larger than the sum of its proper divisors (54313441721).

213988418119 is a wasteful number, since it uses less digits than its factorization.

213988418119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575199.

The product of its digits is 995328, while the sum is 55.

It can be divided in two parts, 2139884 and 18119, that added together give a triangular number (2158003 = T2077).

The spelling of 213988418119 in words is "two hundred thirteen billion, nine hundred eighty-eight million, four hundred eighteen thousand, one hundred nineteen".

Divisors: 1 7 17 53 59 119 371 413 901 1003 3127 6307 7021 21889 53159 372113 575063 4025441 9776071 30478339 33928717 68432497 213348373 237501019 518131763 576788189 1798222001 3626922341 4037517323 12587554007 30569774017 213988418119