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20201100 = 22352172233
BaseRepresentation
bin100110100001…
…1111010001100
31102000022200220
41031003322030
520132413400
62000551340
7333464223
oct115037214
942008626
1020201100
1110448427
126922550
134253b1a
14297bcba
151b907a0
hex1343e8c

20201100 has 108 divisors (see below), whose sum is σ = 62355384. Its totient is φ = 5048320.

The previous prime is 20201089. The next prime is 20201101. The reversal of 20201100 is 110202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (20201101) 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, 86584 + ... + 86816.

Almost surely, 220201100 is an apocalyptic number.

20201100 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 20201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177692).

20201100 is an abundant number, since it is smaller than the sum of its proper divisors (42154284).

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

20201100 is a wasteful number, since it uses less digits than its factorization.

20201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 20201100 is about 4494.5633825768. The cubic root of 20201100 is about 272.3485115973.

Adding to 20201100 its reverse (110202), we get a palindrome (20311302).

It can be divided in two parts, 20201 and 100, that added together give a triangular number (20301 = T201).

The spelling of 20201100 in words is "twenty million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 233 255 289 300 340 425 466 510 578 699 850 867 932 1020 1156 1165 1275 1398 1445 1700 1734 2330 2550 2796 2890 3468 3495 3961 4335 4660 5100 5780 5825 6990 7225 7922 8670 11650 11883 13980 14450 15844 17340 17475 19805 21675 23300 23766 28900 34950 39610 43350 47532 59415 67337 69900 79220 86700 99025 118830 134674 198050 202011 237660 269348 297075 336685 396100 404022 594150 673370 808044 1010055 1188300 1346740 1683425 2020110 3366850 4040220 5050275 6733700 10100550 20201100