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10000121202 = 23237139108023
BaseRepresentation
bin10010101000000110…
…11011110101110010
3221210220222210101100
421110003123311302
5130440012334302
64332145145230
7502545425211
oct112403336562
927726883340
1010000121202
114271898085
121b3102b216
13c34a306a6
146ac195078
153d7dd3d1c
hex2540dbd72

10000121202 has 48 divisors (see below), whose sum is σ = 22412819520. Its totient is φ = 3219919776.

The previous prime is 10000121149. The next prime is 10000121203. The reversal of 10000121202 is 20212100001.

10000121202 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (10000121203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38563 + ... + 146585.

It is an arithmetic number, because the mean of its divisors is an integer number (466933740).

Almost surely, 210000121202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000121202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11206409760).

10000121202 is an abundant number, since it is smaller than the sum of its proper divisors (12412698318).

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

10000121202 is a wasteful number, since it uses less digits than its factorization.

10000121202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108207 (or 108204 counting only the distinct ones).

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

Adding to 10000121202 its reverse (20212100001), we get a palindrome (30212221203).

The spelling of 10000121202 in words is "ten billion, one hundred twenty-one thousand, two hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 139 222 278 333 417 666 834 1251 2502 5143 10286 15429 30858 46287 92574 108023 216046 324069 648138 972207 1944414 3996851 7993702 11990553 15015197 23981106 30030394 35971659 45045591 71943318 90091182 135136773 270273546 555562289 1111124578 1666686867 3333373734 5000060601 10000121202