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20210002000 = 245383211577
BaseRepresentation
bin10010110100100111…
…000010100001010000
31221011110200110211121
4102310213002201100
5312342230031000
613141230252024
71313552116426
oct226447024120
957143613747
1020210002000
1186310236a1
123b00357014
131ba1054686
14d9a14d116
157d43edb1a
hex4b49c2850

20210002000 has 160 divisors (see below), whose sum is σ = 49777064064. Its totient is φ = 7934976000.

The previous prime is 20210001991. The next prime is 20210002051. The reversal of 20210002000 is 20001202.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35025712 + ... + 35026288.

Almost surely, 220210002000 is an apocalyptic number.

20210002000 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 20210002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24888532032).

20210002000 is an abundant number, since it is smaller than the sum of its proper divisors (29567062064).

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

20210002000 is a wasteful number, since it uses less digits than its factorization.

20210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 20210002000 its reverse (20001202), we get a palindrome (20230003202).

The spelling of 20210002000 in words is "twenty billion, two hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 83 100 125 166 200 211 250 332 400 415 422 500 577 664 830 844 1000 1055 1154 1328 1660 1688 2000 2075 2110 2308 2885 3320 3376 4150 4220 4616 5275 5770 6640 8300 8440 9232 10375 10550 11540 14425 16600 16880 17513 20750 21100 23080 26375 28850 33200 35026 41500 42200 46160 47891 52750 57700 70052 72125 83000 84400 87565 95782 105500 115400 121747 140104 144250 166000 175130 191564 211000 230800 239455 243494 280208 288500 350260 383128 422000 437825 478910 486988 577000 608735 700520 766256 875650 957820 973976 1154000 1197275 1217470 1401040 1751300 1915640 1947952 2189125 2394550 2434940 3043675 3502600 3831280 4378250 4789100 4869880 5986375 6087350 7005200 8756500 9578200 9739760 10105001 11972750 12174700 15218375 17513000 19156400 20210002 23945500 24349400 30436750 35026000 40420004 47891000 48698800 50525005 60873500 80840008 95782000 101050010 121747000 161680016 202100020 243494000 252625025 404200040 505250050 808400080 1010500100 1263125125 2021000200 2526250250 4042000400 5052500500 10105001000 20210002000