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210001210120 = 235131723755793
BaseRepresentation
bin1100001110010100001…
…1000010101100001000
3202002001100022210121001
43003211003002230020
511420040302210440
6240250114424344
721113011556002
oct3034503025410
9662040283531
10210001210120
1181074232409
1234848b920b4
1316a593413a0
14a24247b372
1556e14c0b9a
hex30e50c2b08

210001210120 has 64 divisors (see below), whose sum is σ = 538781407920. Its totient is φ = 72977793024.

The previous prime is 210001210117. The next prime is 210001210121. The reversal of 210001210120 is 21012100012.

It can be written as a sum of positive squares in 8 ways, for example, as 46741575204 + 163259634916 = 216198^2 + 404054^2 .

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 = 210001210097 and 210001210106.

It is not an unprimeable number, because it can be changed into a prime (210001210121) 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, 11869057 + ... + 11886736.

Almost surely, 2210001210120 is an apocalyptic number.

210001210120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210001210120 is an abundant number, since it is smaller than the sum of its proper divisors (328780197800).

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

210001210120 is a wasteful number, since it uses less digits than its factorization.

210001210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23755834 (or 23755830 counting only the distinct ones).

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

Adding to 210001210120 its reverse (21012100012), we get a palindrome (231013310132).

The spelling of 210001210120 in words is "two hundred ten billion, one million, two hundred ten thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 520 680 884 1105 1768 2210 4420 8840 23755793 47511586 95023172 118778965 190046344 237557930 308825309 403848481 475115860 617650618 807696962 950231720 1235301236 1544126545 1615393924 2019242405 2470602472 3088253090 3230787848 4038484810 5250030253 6176506180 8076969620 10500060506 12353012360 16153939240 21000121012 26250151265 42000242024 52500302530 105000605060 210001210120