Search a number
-
+
154112213000 = 23532325032677
BaseRepresentation
bin1000111110000111001…
…1011100000000001000
3112201210100022120121202
42033201303130000020
510011110211304000
6154444223323332
714064021124304
oct2174163340010
9481710276552
10154112213000
115a3a4365699
1225a4ba50548
13116c04cc5a5
14765d994d04
15401eb1cdd5
hex23e1cdc008

154112213000 has 128 divisors (see below), whose sum is σ = 376592785920. Its totient is φ = 58919097600.

The previous prime is 154112212987. The next prime is 154112213009. The reversal of 154112213000 is 312211451.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (154112213009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57567662 + ... + 57570338.

It is an arithmetic number, because the mean of its divisors is an integer number (2942131140).

Almost surely, 2154112213000 is an apocalyptic number.

154112213000 is a gapful number since it is divisible by the number (10) 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 154112213000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188296392960).

154112213000 is an abundant number, since it is smaller than the sum of its proper divisors (222480572920).

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

154112213000 is a wasteful number, since it uses less digits than its factorization.

154112213000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5224 (or 5210 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 154112213000 its reverse (312211451), we get a palindrome (154424424451).

The spelling of 154112213000 in words is "one hundred fifty-four billion, one hundred twelve million, two hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 460 500 575 920 1000 1150 2300 2503 2677 2875 4600 5006 5354 5750 10012 10708 11500 12515 13385 20024 21416 23000 25030 26770 50060 53540 57569 61571 62575 66925 100120 107080 115138 123142 125150 133850 230276 246284 250300 267700 287845 307855 312875 334625 460552 492568 500600 535400 575690 615710 625750 669250 1151380 1231420 1251500 1338500 1439225 1539275 2302760 2462840 2503000 2677000 2878450 3078550 5756900 6157100 6700531 7196125 7696375 11513800 12314200 13401062 14392250 15392750 26802124 28784500 30785500 33502655 53604248 57569000 61571000 67005310 134010620 154112213 167513275 268021240 308224426 335026550 616448852 670053100 770561065 837566375 1232897704 1340106200 1541122130 1675132750 3082244260 3350265500 3852805325 6164488520 6700531000 7705610650 15411221300 19264026625 30822442600 38528053250 77056106500 154112213000