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20102000120 = 23510738312263
BaseRepresentation
bin10010101110001011…
…000010110111111000
31220212221110102002222
4102232023002313320
5312132103000440
613122411343212
71311101116226
oct225613026770
956787412088
1020102000120
118586067244
123a90151b08
131b8486b937
14d89a77b16
157c9bb82b5
hex4ae2c2df8

20102000120 has 64 divisors (see below), whose sum is σ = 45775134720. Its totient is φ = 7944206464.

The previous prime is 20102000111. The next prime is 20102000129. The reversal of 20102000120 is 2100020102.

It is an interprime number because it is at equal distance from previous prime (20102000111) and next prime (20102000129).

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

It is a junction number, because it is equal to n+sod(n) for n = 20102000098 and 20102000107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20102000129) 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, 1633109 + ... + 1645371.

It is an arithmetic number, because the mean of its divisors is an integer number (715236480).

Almost surely, 220102000120 is an apocalyptic number.

20102000120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102000120 is an abundant number, since it is smaller than the sum of its proper divisors (25673134600).

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

20102000120 is a wasteful number, since it uses less digits than its factorization.

20102000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12764 (or 12760 counting only the distinct ones).

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

Adding to 20102000120 its reverse (2100020102), we get a palindrome (22202020222).

The spelling of 20102000120 in words is "twenty billion, one hundred two million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 107 214 383 428 535 766 856 1070 1532 1915 2140 3064 3830 4280 7660 12263 15320 24526 40981 49052 61315 81962 98104 122630 163924 204905 245260 327848 409810 490520 819620 1312141 1639240 2624282 4696729 5248564 6560705 9393458 10497128 13121410 18786916 23483645 26242820 37573832 46967290 52485640 93934580 187869160 502550003 1005100006 2010200012 2512750015 4020400024 5025500030 10051000060 20102000120