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202121002202012 = 2261103311208912379
BaseRepresentation
bin101101111101001111110110…
…100010011011001110011100
3222111122120122011110122201222
4231331033312202123032130
5202443022303030431022
61553513035003352512
760400521566466665
oct5575176642331634
9874576564418658
10202121002202012
1159447043506483
121a8044a2822738
1388a1c0c538b4a
1437ca9cc97c36c
15185796eedb242
hexb7d3f689b39c

202121002202012 has 96 divisors (see below), whose sum is σ = 364371662054400. Its totient is φ = 98067269721600.

The previous prime is 202121002201927. The next prime is 202121002202051. The reversal of 202121002202012 is 210202200121202.

It is a happy number.

It is a super-2 number, since 2×2021210022020122 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16327726439 + ... + 16327738817.

It is an arithmetic number, because the mean of its divisors is an integer number (3795538146400).

Almost surely, 2202121002202012 is an apocalyptic number.

It is an amenable number.

202121002202012 is a deficient number, since it is larger than the sum of its proper divisors (162250659852388).

202121002202012 is a wasteful number, since it uses less digits than its factorization.

202121002202012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14947 (or 14945 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 202121002202012 its reverse (210202200121202), we get a palindrome (412323202323214).

The spelling of 202121002202012 in words is "two hundred two trillion, one hundred twenty-one billion, two million, two hundred two thousand, twelve".

Divisors: 1 2 4 61 103 122 206 244 311 412 622 1244 2089 4178 6283 8356 12379 12566 18971 24758 25132 32033 37942 49516 64066 75884 127429 128132 215167 254858 430334 509716 649679 755119 860668 1275037 1299358 1510238 1954013 2550074 2598716 3020476 3849869 3908026 5100148 7699738 7816052 13125187 15399476 25859731 26250374 39630419 51719462 52500748 66916937 77777257 79260838 103438924 133833874 155554514 158521676 234842009 267667748 311109028 396536507 469684018 793073014 939368036 1577443591 1586146028 2663552293 3154887182 4081933157 5327104586 6309774364 8042376341 8163866314 10654209172 16084752682 16327732628 24188726927 32169505364 48377453854 96754907708 162476689873 324953379746 490584956801 649906759492 828364763123 981169913602 1656729526246 1962339827204 3313459052492 50530250550503 101060501101006 202121002202012