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20100022000 = 245323436957
BaseRepresentation
bin10010101110000011…
…011111111011110000
31220212210201220122021
4102232003133323300
5312131101201000
613122301121224
71311045240142
oct225603377360
956783656567
1020100022000
118584a36033
123a8b559214
131b84328456
14d896c0c92
157c992711a
hex4ae0dfef0

20100022000 has 80 divisors (see below), whose sum is σ = 50715093312. Its totient is φ = 7690425600.

The previous prime is 20100021983. The next prime is 20100022009. The reversal of 20100022000 is 22000102.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20100022009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172479 + ... + 264478.

Almost surely, 220100022000 is an apocalyptic number.

20100022000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100022000 is an abundant number, since it is smaller than the sum of its proper divisors (30615071312).

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

20100022000 is a wasteful number, since it uses less digits than its factorization.

20100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437003 (or 436987 counting only the distinct ones).

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

Adding to 20100022000 its reverse (22000102), we get a palindrome (20122022102).

The spelling of 20100022000 in words is "twenty billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 115 125 184 200 230 250 368 400 460 500 575 920 1000 1150 1840 2000 2300 2875 4600 5750 9200 11500 23000 46000 436957 873914 1747828 2184785 3495656 4369570 6991312 8739140 10050011 10923925 17478280 20100022 21847850 34956560 40200044 43695700 50250055 54619625 80400088 87391400 100500110 109239250 160800176 174782800 201000220 218478500 251250275 402000440 436957000 502500550 804000880 873914000 1005001100 1256251375 2010002200 2512502750 4020004400 5025005500 10050011000 20100022000