Search a number
-
+
213104102344 = 23717397563851
BaseRepresentation
bin1100011001110111111…
…1101000101111001000
3202101001120222001112021
43012131333220233020
511442414122233334
6241522040254224
721252626661010
oct3063577505710
9671046861467
10213104102344
118241678a251
1235374171374
131713213c9a3
14a4585c8c40
155823adb3b4
hex319dfe8bc8

213104102344 has 64 divisors (see below), whose sum is σ = 484732287360. Its totient is φ = 85741286400.

The previous prime is 213104102317. The next prime is 213104102347. The reversal of 213104102344 is 443201401312.

213104102344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2131041023443 (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (213104102347) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96019 + ... + 659869.

It is an arithmetic number, because the mean of its divisors is an integer number (7573941990).

Almost surely, 2213104102344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213104102344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242366143680).

213104102344 is an abundant number, since it is smaller than the sum of its proper divisors (271628185016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213104102344 is a wasteful number, since it uses less digits than its factorization.

213104102344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564278 (or 564274 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 213104102344 its reverse (443201401312), we get a palindrome (656305503656).

The spelling of 213104102344 in words is "two hundred thirteen billion, one hundred four million, one hundred two thousand, three hundred forty-four".

Divisors: 1 2 4 7 8 14 17 28 34 56 68 119 136 238 397 476 794 952 1588 2779 3176 5558 6749 11116 13498 22232 26996 47243 53992 94486 188972 377944 563851 1127702 2255404 3946957 4510808 7893914 9585467 15787828 19170934 31575656 38341868 67098269 76683736 134196538 223848847 268393076 447697694 536786152 895395388 1566941929 1790790776 3133883858 3805430399 6267767716 7610860798 12535535432 15221721596 26638012793 30443443192 53276025586 106552051172 213104102344