Search a number
-
+
10210100121 = 3213337258949
BaseRepresentation
bin10011000001001000…
…11100001110011001
3222100120002211022100
421200210130032121
5131402241200441
64405045514013
7511005263514
oct114044341631
928316084270
1010210100121
11436a376381
121b8b412909
13c6939ca80
146cc013d7b
153eb55ecb6
hex26091c399

10210100121 has 24 divisors (see below), whose sum is σ = 15929568200. Its totient is φ = 6264470016.

The previous prime is 10210100111. The next prime is 10210100123. The reversal of 10210100121 is 12100101201.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 559984896 + 9650115225 = 23664^2 + 98235^2 .

It is not a de Polignac number, because 10210100121 - 225 = 10176545689 is a prime.

It is a super-2 number, since 2×102101001212 (a number of 21 digits) contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10210100123) 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, 90046 + ... + 168903.

Almost surely, 210210100121 is an apocalyptic number.

It is an amenable number.

10210100121 is a deficient number, since it is larger than the sum of its proper divisors (5719468079).

10210100121 is a wasteful number, since it uses less digits than its factorization.

10210100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259305 (or 259302 counting only the distinct ones).

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

Adding to 10210100121 its reverse (12100101201), we get a palindrome (22310201322).

The spelling of 10210100121 in words is "ten billion, two hundred ten million, one hundred thousand, one hundred twenty-one".

Divisors: 1 3 9 13 39 117 337 1011 3033 4381 13143 39429 258949 776847 2330541 3366337 10099011 30297033 87265813 261797439 785392317 1134455569 3403366707 10210100121