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2101031040 = 27357691423
BaseRepresentation
bin111110100111011…
…0011000010000000
312102102110102202110
41331032303002000
513300330443130
6544252215320
7103031316633
oct17516630200
95372412673
102101031040
11988a82799
124a776a540
1327638c244
1415d077c1a
15c46bcab0
hex7d3b3080

2101031040 has 128 divisors (see below), whose sum is σ = 6710457600. Its totient is φ = 559153152.

The previous prime is 2101031029. The next prime is 2101031057. The reversal of 2101031040 is 401301012.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1475769 + ... + 1477191.

It is an arithmetic number, because the mean of its divisors is an integer number (52425450).

Almost surely, 22101031040 is an apocalyptic number.

2101031040 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 2101031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3355228800).

2101031040 is an abundant number, since it is smaller than the sum of its proper divisors (4609426560).

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

2101031040 is a wasteful number, since it uses less digits than its factorization.

2101031040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2214 (or 2202 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 2101031040 is about 45837.0051377705. The cubic root of 2101031040 is about 1280.7887066256.

Adding to 2101031040 its reverse (401301012), we get a palindrome (2502332052).

The spelling of 2101031040 in words is "two billion, one hundred one million, thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 769 960 1423 1538 1920 2307 2846 3076 3845 4269 4614 5692 6152 7115 7690 8538 9228 11384 11535 12304 14230 15380 17076 18456 21345 22768 23070 24608 28460 30760 34152 36912 42690 45536 46140 49216 56920 61520 68304 73824 85380 91072 92280 98432 113840 123040 136608 147648 170760 182144 184560 227680 246080 273216 295296 341520 369120 455360 492160 546432 683040 738240 910720 1094287 1366080 1476480 2188574 2732160 3282861 4377148 5471435 6565722 8754296 10942870 13131444 16414305 17508592 21885740 26262888 32828610 35017184 43771480 52525776 65657220 70034368 87542960 105051552 131314440 140068736 175085920 210103104 262628880 350171840 420206208 525257760 700343680 1050515520 2101031040