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10000202121 = 3271337331997
BaseRepresentation
bin10010101000000111…
…01111100110001001
3221210221010220101100
421110003233212021
5130440022431441
64332151012013
7502546213140
oct112403574611
927727126340
1010000202121
114271942958
121b3106a009
13c34a5b480
146ac1b6757
153d7deccb6
hex2540ef989

10000202121 has 96 divisors (see below), whose sum is σ = 18332158208. Its totient is φ = 5111631360.

The previous prime is 10000202119. The next prime is 10000202159. The reversal of 10000202121 is 12120200001.

10000202121 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10000202121 - 21 = 10000202119 is a prime.

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 (10000202101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10029795 + ... + 10030791.

Almost surely, 210000202121 is an apocalyptic number.

It is an amenable number.

10000202121 is a deficient number, since it is larger than the sum of its proper divisors (8331956087).

10000202121 is a wasteful number, since it uses less digits than its factorization.

10000202121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1388 counting only the distinct ones).

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

Adding to 10000202121 its reverse (12120200001), we get a palindrome (22120402122).

The spelling of 10000202121 in words is "ten billion, two hundred two thousand, one hundred twenty-one".

Divisors: 1 3 7 9 13 21 37 39 63 91 111 117 259 273 331 333 481 777 819 993 997 1443 2317 2331 2979 2991 3367 4303 4329 6951 6979 8973 10101 12247 12909 12961 20853 20937 30121 30303 36741 36889 38727 38883 62811 85729 90363 90727 110223 110667 116649 159211 257187 258223 271089 272181 330007 332001 477633 479557 771561 774669 816543 990021 1114477 1432899 1438671 2310049 2324007 2970063 3343431 3356899 4290091 4316013 6930147 10030293 10070697 12210259 12870273 20790441 30030637 30212091 36630777 38610819 85471813 90091911 109892331 158733367 256415439 270275733 476200101 769246317 1111133569 1428600303 3333400707 10000202121