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10210012101 = 323734987853
BaseRepresentation
bin10011000001001000…
…00110101111000101
3222100112221100120100
421200210012233011
5131402230341401
64405043554313
7511004446062
oct114044065705
928315840510
1010210012101
11436a316233
121b8b38b999
13c6936b9a3
146cbdcdc69
153eb543b86
hex260906bc5

10210012101 has 24 divisors (see below), whose sum is σ = 15189956600. Its totient is φ = 6603659136.

The previous prime is 10210012073. The next prime is 10210012139. The reversal of 10210012101 is 10121001201.

It is a happy number.

10210012101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2265855201 + 7944156900 = 47601^2 + 89130^2 .

It is not a de Polignac number, because 10210012101 - 215 = 10209979333 is a prime.

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

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210012171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72291 + ... + 160143.

Almost surely, 210210012101 is an apocalyptic number.

It is an amenable number.

10210012101 is a deficient number, since it is larger than the sum of its proper divisors (4979944499).

10210012101 is a wasteful number, since it uses less digits than its factorization.

10210012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88245 (or 88242 counting only the distinct ones).

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

Adding to 10210012101 its reverse (10121001201), we get a palindrome (20331013302).

The spelling of 10210012101 in words is "ten billion, two hundred ten million, twelve thousand, one hundred one".

Divisors: 1 3 9 37 111 333 349 1047 3141 12913 38739 87853 116217 263559 790677 3250561 9751683 29255049 30660697 91982091 275946273 1134445789 3403337367 10210012101