Search a number
-
+
213104200101 = 313671131574597
BaseRepresentation
bin1100011001111000000…
…0000000100110100101
3202101001121011000121220
43012132000000212211
511442414133400401
6241522042330553
721252630546012
oct3063600004645
9671047130556
10213104200101
1182416846741
12353741b9a59
1317132175330
14a458612709
155823b0a336
hex319e0009a5

213104200101 has 64 divisors (see below), whose sum is σ = 315375422208. Its totient is φ = 127197278208.

The previous prime is 213104200093. The next prime is 213104200109. The reversal of 213104200101 is 101002401312.

It is an interprime number because it is at equal distance from previous prime (213104200093) and next prime (213104200109).

It is not a de Polignac number, because 213104200101 - 23 = 213104200093 is a prime.

It is a super-3 number, since 3×2131042001013 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213104200109) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46354935 + ... + 46359531.

It is an arithmetic number, because the mean of its divisors is an integer number (4927740972).

Almost surely, 2213104200101 is an apocalyptic number.

It is an amenable number.

213104200101 is a deficient number, since it is larger than the sum of its proper divisors (102271222107).

213104200101 is a wasteful number, since it uses less digits than its factorization.

213104200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4950.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 213104200101 its reverse (101002401312), we get a palindrome (314106601413).

The spelling of 213104200101 in words is "two hundred thirteen billion, one hundred four million, two hundred thousand, one hundred one".

Divisors: 1 3 13 39 67 113 157 201 339 471 871 1469 2041 2613 4407 4597 6123 7571 10519 13791 17741 22713 31557 53223 59761 98423 136747 179283 230633 295269 307999 410241 519461 691899 721729 923997 1188647 1558383 2165187 3565941 4003987 6752993 9382477 12011961 15452411 20258979 28147431 34803887 46357233 48355843 81555377 104411661 145067529 244666131 452450531 628625959 1060219901 1357351593 1885877877 3180659703 5464210259 16392630777 71034733367 213104200101