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210210121210120 = 23510135187811481
BaseRepresentation
bin101111110010111101011011…
…100110100101100100001000
31000120021220001202222202001021
4233302331123212211210020
5210023040312012210440
62023025110241202224
762164115523542263
oct5762753346454410
91016256052882037
10210210121210120
1160a85680290529
121b6b0168330374
13903a9635826a5
1439ca31d109cda
1519480aaca884a
hexbf2f5b9a5908

210210121210120 has 32 divisors (see below), whose sum is σ = 473439675847320. Its totient is φ = 84001043484160.

The previous prime is 210210121210049. The next prime is 210210121210121. The reversal of 210210121210120 is 21012121012012.

It can be written as a sum of positive squares in 4 ways, for example, as 72985343577316 + 137224777632804 = 8543146^2 + 11714298^2 .

It is a junction number, because it is equal to n+sod(n) for n = 210210121210094 and 210210121210103.

It is not an unprimeable number, because it can be changed into a prime (210210121210121) 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, 2593865221 + ... + 2593946260.

Almost surely, 2210210121210120 is an apocalyptic number.

210210121210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210210121210120 is an abundant number, since it is smaller than the sum of its proper divisors (263229554637200).

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

210210121210120 is a wasteful number, since it uses less digits than its factorization.

210210121210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5187812505 (or 5187812501 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210210121210120 its reverse (21012121012012), we get a palindrome (231222242222132).

The spelling of 210210121210120 in words is "two hundred ten trillion, two hundred ten billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 1013 2026 4052 5065 8104 10130 20260 40520 5187811481 10375622962 20751245924 25939057405 41502491848 51878114810 103756229620 207512459240 5255253030253 10510506060506 21021012121012 26276265151265 42042024242024 52552530302530 105105060605060 210210121210120