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2141100 = 2233521361
BaseRepresentation
bin1000001010101110101100
311000210001000
420022232230
51022003400
6113520300
724125163
oct10125654
94023030
102141100
111232705
12873090
1359c730
143da3da
152c4600
hex20abac

2141100 has 144 divisors (see below), whose sum is σ = 7534240. Its totient is φ = 518400.

The previous prime is 2141071. The next prime is 2141123. The reversal of 2141100 is 11412.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 35070 + ... + 35130.

22141100 is an apocalyptic number.

2141100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2141100 is the 732-nd decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3767120).

2141100 is an abundant number, since it is smaller than the sum of its proper divisors (5393140).

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

2141100 is a wasteful number, since it uses less digits than its factorization.

2141100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2141100 is about 1463.2498077909. The cubic root of 2141100 is about 128.8879502948.

Adding to 2141100 its reverse (11412), we get a palindrome (2152512).

The spelling of 2141100 in words is "two million, one hundred forty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 25 26 27 30 36 39 45 50 52 54 60 61 65 75 78 90 100 108 117 122 130 135 150 156 180 183 195 225 234 244 260 270 300 305 325 351 366 390 450 468 540 549 585 610 650 675 702 732 780 793 900 915 975 1098 1170 1220 1300 1350 1404 1525 1586 1647 1755 1830 1950 2196 2340 2379 2700 2745 2925 3050 3172 3294 3510 3660 3900 3965 4575 4758 5490 5850 6100 6588 7020 7137 7930 8235 8775 9150 9516 10980 11700 11895 13725 14274 15860 16470 17550 18300 19825 21411 23790 27450 28548 32940 35100 35685 39650 41175 42822 47580 54900 59475 71370 79300 82350 85644 107055 118950 142740 164700 178425 214110 237900 356850 428220 535275 713700 1070550 2141100