Search a number
-
+
2153411100 = 2232523764667
BaseRepresentation
bin1000000001011010…
…0111001000011100
312120002000121200200
42000112213020130
513402233123400
6553403023500
7104235456321
oct20026471034
95502017620
102153411100
11a055a96a5
1250120ab90
1328419ba69
14165dd0b48
15c90b7b00
hex805a721c

2153411100 has 108 divisors (see below), whose sum is σ = 6932280264. Its totient is φ = 558714240.

The previous prime is 2153411089. The next prime is 2153411101. The reversal of 2153411100 is 11143512.

2153411100 is a `hidden beast` number, since 2 + 153 + 411 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153411101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 967 + ... + 65633.

Almost surely, 22153411100 is an apocalyptic number.

2153411100 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 2153411100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3466140132).

2153411100 is an abundant number, since it is smaller than the sum of its proper divisors (4778869164).

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

2153411100 is a wasteful number, since it uses less digits than its factorization.

2153411100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64724 (or 64714 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 2153411100 is about 46404.8607367806. The cubic root of 2153411100 is about 1291.3450905788.

Adding to 2153411100 its reverse (11143512), we get a palindrome (2164554612).

The spelling of 2153411100 in words is "two billion, one hundred fifty-three million, four hundred eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 64667 129334 194001 258668 323335 388002 582003 646670 776004 970005 1164006 1293340 1616675 1940010 2328012 2392679 2910015 3233350 3880020 4785358 4850025 5820030 6466700 7178037 9570716 9700050 11640060 11963395 14356074 14550075 19400100 21534111 23926790 28712148 29100150 35890185 43068222 47853580 58200300 59816975 71780370 86136444 107670555 119633950 143560740 179450925 215341110 239267900 358901850 430682220 538352775 717803700 1076705550 2153411100