Search a number
-
+
213211100140 = 225175919935333
BaseRepresentation
bin1100011010010001011…
…1110011001111101100
3202101100001022002220121
43012210113303033230
511443124020201030
6241540421454324
721255366306643
oct3064427631754
9671301262817
10213211100140
1182471120285
12353a3b713a4
131714b3636ac
14a4688bc35a
15582d1c447a
hex31a45f33ec

213211100140 has 96 divisors (see below), whose sum is σ = 482448778560. Its totient is φ = 78852857856.

The previous prime is 213211100107. The next prime is 213211100213. The reversal of 213211100140 is 41001112312.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39976914 + ... + 39982246.

It is an arithmetic number, because the mean of its divisors is an integer number (5025508110).

Almost surely, 2213211100140 is an apocalyptic number.

213211100140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213211100140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241224389280).

213211100140 is an abundant number, since it is smaller than the sum of its proper divisors (269237678420).

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

213211100140 is a wasteful number, since it uses less digits than its factorization.

213211100140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7411 (or 7409 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 213211100140 its reverse (41001112312), we get a palindrome (254212212452).

The spelling of 213211100140 in words is "two hundred thirteen billion, two hundred eleven million, one hundred thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 34 59 68 85 118 170 236 295 340 590 1003 1180 1993 2006 3986 4012 5015 5333 7972 9965 10030 10666 19930 20060 21332 26665 33881 39860 53330 67762 90661 106660 117587 135524 169405 181322 235174 314647 338810 362644 453305 470348 587935 629294 677620 906610 1175870 1258588 1573235 1813220 1998979 2351740 3146470 3997958 5348999 6292940 7995916 9994895 10628669 10697998 19989790 21257338 21395996 26744995 39979580 42514676 53143345 53489990 106286690 106979980 180687373 212573380 361374746 627091471 722749492 903436865 1254182942 1806873730 2508365884 3135457355 3613747460 6270914710 10660555007 12541829420 21321110014 42642220028 53302775035 106605550070 213211100140