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2101021120 = 265115691049
BaseRepresentation
bin111110100111011…
…0000100111000000
312102102102221011001
41331032300213000
513300330133440
6544252101344
7103031246002
oct17516604700
95372387131
102101021120
11988a762a0
124a7764854
13276387883
1415d074372
15c46b9b9a
hex7d3b09c0

2101021120 has 112 divisors (see below), whose sum is σ = 5472684000. Its totient is φ = 761937920.

The previous prime is 2101021073. The next prime is 2101021127. The reversal of 2101021120 is 211201012.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 2101021097 and 2101021106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101021127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2002356 + ... + 2003404.

It is an arithmetic number, because the mean of its divisors is an integer number (48863250).

Almost surely, 22101021120 is an apocalyptic number.

2101021120 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 2101021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2736342000).

2101021120 is an abundant number, since it is smaller than the sum of its proper divisors (3371662880).

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

2101021120 is a wasteful number, since it uses less digits than its factorization.

2101021120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1646 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 2101021120 is about 45836.8969281299. The cubic root of 2101021120 is about 1280.7866908781.

Adding to 2101021120 its reverse (211201012), we get a palindrome (2312222132).

The spelling of 2101021120 in words is "two billion, one hundred one million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 569 704 880 1049 1138 1760 2098 2276 2845 3520 4196 4552 5245 5690 6259 8392 9104 10490 11380 11539 12518 16784 18208 20980 22760 23078 25036 31295 33568 36416 41960 45520 46156 50072 57695 62590 67136 83920 91040 92312 100144 115390 125180 167840 182080 184624 200288 230780 250360 335680 369248 400576 461560 500720 596881 738496 923120 1001440 1193762 1846240 2002880 2387524 2984405 3692480 4775048 5968810 6565691 9550096 11937620 13131382 19100192 23875240 26262764 32828455 38200384 47750480 52525528 65656910 95500960 105051056 131313820 191001920 210102112 262627640 420204224 525255280 1050510560 2101021120