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20210102000 = 245311918641
BaseRepresentation
bin10010110100100111…
…011010111011110000
31221011110212120000022
4102310213122323300
5312342241231000
613141232343012
71313553014114
oct226447327360
957143776008
1020210102000
118631091840
123b003a4a68
131ba108b04a
14d9a177744
157d441d585
hex4b49daef0

20210102000 has 80 divisors (see below), whose sum is σ = 53310632544. Its totient is φ = 7349120000.

The previous prime is 20210101991. The next prime is 20210102009. The reversal of 20210102000 is 20101202.

It is an interprime number because it is at equal distance from previous prime (20210101991) and next prime (20210102009).

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

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210102009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 437321 + ... + 481320.

Almost surely, 220210102000 is an apocalyptic number.

20210102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210102000 is an abundant number, since it is smaller than the sum of its proper divisors (33100530544).

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

20210102000 is a wasteful number, since it uses less digits than its factorization.

20210102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918675 (or 918659 counting only the distinct ones).

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

Adding to 20210102000 its reverse (20101202), we get a palindrome (20230203202).

The spelling of 20210102000 in words is "twenty billion, two hundred ten million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 918641 1837282 3674564 4593205 7349128 9186410 10105051 14698256 18372820 20210102 22966025 36745640 40420204 45932050 50525255 73491280 80840408 91864100 101050510 114830125 161680816 183728200 202101020 229660250 252626275 367456400 404202040 459320500 505252550 808404080 918641000 1010505100 1263131375 1837282000 2021010200 2526262750 4042020400 5052525500 10105051000 20210102000