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10012101210 = 23251737475371
BaseRepresentation
bin10010101001100010…
…01000101001011010
3221211202112102212100
421110301020221122
5131001044214320
64333254024230
7503052312306
oct112461105132
927752472770
1010012101210
11427862a911
121b35048076
13c37366557
146ad9d2d06
153d8e9d790
hex254c48a5a

10012101210 has 384 divisors, whose sum is σ = 29870290944. Its totient is φ = 2314690560.

The previous prime is 10012101161. The next prime is 10012101223. The reversal of 10012101210 is 1210121001.

It is a happy number.

It is a super-3 number, since 3×100121012103 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10012101192 and 10012101201.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 141015475 + ... + 141015545.

It is an arithmetic number, because the mean of its divisors is an integer number (77787216).

Almost surely, 210012101210 is an apocalyptic number.

10012101210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012101210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14935145472).

10012101210 is an abundant number, since it is smaller than the sum of its proper divisors (19858189734).

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

10012101210 is a wasteful number, since it uses less digits than its factorization.

10012101210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10012101210 its reverse (1210121001), we get a palindrome (11222222211).

The spelling of 10012101210 in words is "ten billion, twelve million, one hundred one thousand, two hundred ten".