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2054251100 = 22521117372969
BaseRepresentation
bin111101001110001…
…0110001001011100
312022011102202202002
41322130112021130
513201342013400
6535501421432
7101622563156
oct17234261134
95264382662
102054251100
11964631290
12493b6a878
132697906c5
14156b7bad6
15c052bed5
hex7a71625c

2054251100 has 144 divisors (see below), whose sum is σ = 5289973920. Its totient is φ = 683827200.

The previous prime is 2054251093. The next prime is 2054251123. The reversal of 2054251100 is 11524502.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 690416 + ... + 693384.

It is an arithmetic number, because the mean of its divisors is an integer number (36735930).

Almost surely, 22054251100 is an apocalyptic number.

2054251100 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 2054251100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644986960).

2054251100 is an abundant number, since it is smaller than the sum of its proper divisors (3235722820).

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

2054251100 is a wasteful number, since it uses less digits than its factorization.

2054251100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3048 (or 3041 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 2054251100 is about 45323.8469241083. The cubic root of 2054251100 is about 1271.2115868642.

Adding to 2054251100 its reverse (11524502), we get a palindrome (2065775602).

The spelling of 2054251100 in words is "two billion, fifty-four million, two hundred fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 37 44 50 55 68 74 85 100 110 148 170 185 187 220 275 340 370 374 407 425 550 629 740 748 814 850 925 935 1100 1258 1628 1700 1850 1870 2035 2516 2969 3145 3700 3740 4070 4675 5938 6290 6919 8140 9350 10175 11876 12580 13838 14845 15725 18700 20350 27676 29690 31450 32659 34595 40700 50473 59380 62900 65318 69190 74225 100946 109853 130636 138380 148450 163295 172975 201892 219706 252365 296900 326590 345950 439412 504730 549265 555203 653180 691900 816475 1009460 1098530 1110406 1208383 1261825 1632950 1867501 2197060 2220812 2416766 2523650 2746325 2776015 3265900 3735002 4833532 5047300 5492650 5552030 6041915 7470004 9337505 10985300 11104060 12083830 13880075 18675010 20542511 24167660 27760150 30209575 37350020 41085022 46687525 55520300 60419150 82170044 93375050 102712555 120838300 186750100 205425110 410850220 513562775 1027125550 2054251100