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20101210120 = 2352213227081
BaseRepresentation
bin10010101110001000…
…000010000000001000
31220212212222021102201
4102232020002000020
5312131402210440
613122342405544
71311061316065
oct225610020010
956785867381
1020101210120
118585677752
123a8ba308b4
131b84653194
14d8990dc6c
157c9aae19a
hex4ae202008

20101210120 has 32 divisors (see below), whose sum is σ = 45248359320. Its totient is φ = 8036815360.

The previous prime is 20101210099. The next prime is 20101210121. The reversal of 20101210120 is 2101210102.

It can be written as a sum of positive squares in 4 ways, for example, as 18397667044 + 1703543076 = 135638^2 + 41274^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20101210097 and 20101210106.

It is not an unprimeable number, because it can be changed into a prime (20101210121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25021 + ... + 202060.

Almost surely, 220101210120 is an apocalyptic number.

20101210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20101210120 is an abundant number, since it is smaller than the sum of its proper divisors (25147149200).

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

20101210120 is a wasteful number, since it uses less digits than its factorization.

20101210120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229305 (or 229301 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20101210120 its reverse (2101210102), we get a palindrome (22202420222).

The spelling of 20101210120 in words is "twenty billion, one hundred one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 2213 4426 8852 11065 17704 22130 44260 88520 227081 454162 908324 1135405 1816648 2270810 4541620 9083240 502530253 1005060506 2010121012 2512651265 4020242024 5025302530 10050605060 20101210120