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10121000202 = 2323740137897
BaseRepresentation
bin10010110110100001…
…00011010100001010
3222010100110002012100
421123100203110022
5131211434001302
64352144054230
7505544040135
oct113320432412
928110402170
1010121000202
11432404a285
121b65604376
13c53aa4721
146c025d21c
153e380ed1c
hex25b42350a

10121000202 has 48 divisors (see below), whose sum is σ = 22578264072. Its totient is φ = 3274214400.

The previous prime is 10121000191. The next prime is 10121000207. The reversal of 10121000202 is 20200012101.

It can be written as a sum of positive squares in 4 ways, for example, as 9838457721 + 282542481 = 99189^2 + 16809^2 .

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

It is not an unprimeable number, because it can be changed into a prime (10121000207) 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, 248118 + ... + 286014.

Almost surely, 210121000202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10121000202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11289132036).

10121000202 is an abundant number, since it is smaller than the sum of its proper divisors (12457263870).

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

10121000202 is a wasteful number, since it uses less digits than its factorization.

10121000202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38343 (or 38340 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10121000202 its reverse (20200012101), we get a palindrome (30321012303).

The spelling of 10121000202 in words is "ten billion, one hundred twenty-one million, two hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 37 74 111 222 333 401 666 802 1203 2406 3609 7218 14837 29674 37897 44511 75794 89022 113691 133533 227382 267066 341073 682146 1402189 2804378 4206567 8413134 12619701 15196697 25239402 30393394 45590091 91180182 136770273 273540546 562277789 1124555578 1686833367 3373666734 5060500101 10121000202