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2101842120 = 2335723108791
BaseRepresentation
bin111110101000111…
…1001000011001000
312102110222122100110
41331101321003020
513301032421440
6544321434320
7103041235410
oct17521710310
95373878313
102101842120
11989487104
124a7a9b9a0
132765b4481
1415d209640
15c47cd080
hex7d4790c8

2101842120 has 128 divisors (see below), whose sum is σ = 7519703040. Its totient is φ = 459528960.

The previous prime is 2101842089. The next prime is 2101842121. The reversal of 2101842120 is 212481012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (2101842121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35076 + ... + 73715.

It is an arithmetic number, because the mean of its divisors is an integer number (58747680).

Almost surely, 22101842120 is an apocalyptic number.

2101842120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101842120 is an abundant number, since it is smaller than the sum of its proper divisors (5417860920).

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

2101842120 is a wasteful number, since it uses less digits than its factorization.

2101842120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108835 (or 108831 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 2101842120 is about 45845.8517207391. The cubic root of 2101842120 is about 1280.9534969020.

The spelling of 2101842120 in words is "two billion, one hundred one million, eight hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 23 24 28 30 35 40 42 46 56 60 69 70 84 92 105 115 120 138 140 161 168 184 210 230 276 280 322 345 420 460 483 552 644 690 805 840 920 966 1288 1380 1610 1932 2415 2760 3220 3864 4830 6440 9660 19320 108791 217582 326373 435164 543955 652746 761537 870328 1087910 1305492 1523074 1631865 2175820 2284611 2502193 2610984 3046148 3263730 3807685 4351640 4569222 5004386 6092296 6527460 7506579 7615370 9138444 10008772 11423055 12510965 13054920 15013158 15230740 17515351 18276888 20017544 22846110 25021930 30026316 30461480 35030702 37532895 45692220 50043860 52546053 60052632 70061404 75065790 87576755 91384440 100087720 105092106 140122808 150131580 175153510 210184212 262730265 300263160 350307020 420368424 525460530 700614040 1050921060 2101842120