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2101431000 = 233531734049
BaseRepresentation
bin111110101000001…
…0100101011011000
312102110012202101210
41331100110223120
513300431243000
6544304543120
7103034603664
oct17520245330
95373182353
102101431000
11989226239
124a7921aa0
1327649c2c6
1415d13d8a4
15c474b350
hex7d414ad8

2101431000 has 128 divisors (see below), whose sum is σ = 6595992000. Its totient is φ = 557004800.

The previous prime is 2101430993. The next prime is 2101431011. The reversal of 2101431000 is 1341012.

It is a happy number.

It is a super-2 number, since 2×21014310002 = 8832024495522000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 516976 + ... + 521024.

Almost surely, 22101431000 is an apocalyptic number.

2101431000 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 2101431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3297996000).

2101431000 is an abundant number, since it is smaller than the sum of its proper divisors (4494561000).

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

2101431000 is a wasteful number, since it uses less digits than its factorization.

2101431000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4246 (or 4232 counting only the distinct ones).

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

The square root of 2101431000 is about 45841.3677806411. The cubic root of 2101431000 is about 1280.8699733528.

Adding to 2101431000 its reverse (1341012), we get a palindrome (2102772012).

The spelling of 2101431000 in words is "two billion, one hundred one million, four hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 173 200 250 300 346 375 500 519 600 692 750 865 1000 1038 1384 1500 1730 2076 2595 3000 3460 4049 4152 4325 5190 6920 8098 8650 10380 12147 12975 16196 17300 20245 20760 21625 24294 25950 32392 34600 40490 43250 48588 51900 60735 64875 80980 86500 97176 101225 103800 121470 129750 161960 173000 202450 242940 259500 303675 404900 485880 506125 519000 607350 700477 809800 1012250 1214700 1400954 1518375 2024500 2101431 2429400 2801908 3036750 3502385 4049000 4202862 5603816 6073500 7004770 8405724 10507155 12147000 14009540 16811448 17511925 21014310 28019080 35023850 42028620 52535775 70047700 84057240 87559625 105071550 140095400 175119250 210143100 262678875 350238500 420286200 525357750 700477000 1050715500 2101431000