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2101321040 = 2457131716979
BaseRepresentation
bin111110100111111…
…1001110101010000
312102110000011120012
41331033321311100
513300414233130
6544302334052
7103033635260
oct17517716520
95373004505
102101321040
11989160665
124a788a328
13276461240
1415d1117a0
15c4728995
hex7d3f9d50

2101321040 has 160 divisors (see below), whose sum is σ = 6367092480. Its totient is φ = 625876992.

The previous prime is 2101321037. The next prime is 2101321069. The reversal of 2101321040 is 401231012.

It is a super-2 number, since 2×21013210402 = 8831100226293363200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115271 + ... + 132249.

It is an arithmetic number, because the mean of its divisors is an integer number (39794328).

Almost surely, 22101321040 is an apocalyptic number.

2101321040 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 2101321040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3183546240).

2101321040 is an abundant number, since it is smaller than the sum of its proper divisors (4265771440).

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

2101321040 is a wasteful number, since it uses less digits than its factorization.

2101321040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17029 (or 17023 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 2101321040 is about 45840.1684115580. The cubic root of 2101321040 is about 1280.8476319231.

Adding to 2101321040 its reverse (401231012), we get a palindrome (2502552052).

The spelling of 2101321040 in words is "two billion, one hundred one million, three hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 17 20 26 28 34 35 40 52 56 65 68 70 80 85 91 104 112 119 130 136 140 170 182 208 221 238 260 272 280 340 364 442 455 476 520 560 595 680 728 884 910 952 1040 1105 1190 1360 1456 1547 1768 1820 1904 2210 2380 3094 3536 3640 4420 4760 6188 7280 7735 8840 9520 12376 15470 16979 17680 24752 30940 33958 61880 67916 84895 118853 123760 135832 169790 220727 237706 271664 288643 339580 441454 475412 577286 594265 679160 882908 950824 1103635 1154572 1188530 1358320 1443215 1545089 1765816 1901648 2020501 2207270 2309144 2377060 2886430 3090178 3531632 3752359 4041002 4414540 4618288 4754120 5772860 6180356 7504718 7725445 8082004 8829080 9508240 10102505 11545720 12360712 15009436 15450890 16164008 17658160 18761795 20205010 23091440 24721424 26266513 30018872 30901780 32328016 37523590 40410020 52533026 60037744 61803560 75047180 80820040 105066052 123607120 131332565 150094360 161640080 210132104 262665130 300188720 420264208 525330260 1050660520 2101321040