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202220202000102 = 2311131755889248063
BaseRepresentation
bin101101111110101100001111…
…010011100111111011100110
3222112000001200120101112022220
4231332230033103213323212
5203001133433203000402
61554030402303333210
760410633056041216
oct5576541723477346
9875001616345286
10202220202000102
1159485119182a90
121a81b7685b1206
1388ab38b324820
1437d171d620246
15185a328d5ddbc
hexb7eb0f4e7ee6

202220202000102 has 128 divisors (see below), whose sum is σ = 503107608084480. Its totient is φ = 53236565975040.

The previous prime is 202220202000077. The next prime is 202220202000127. The reversal of 202220202000102 is 201000202022202.

It is an interprime number because it is at equal distance from previous prime (202220202000077) and next prime (202220202000127).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 815072923 + ... + 815320985.

It is an arithmetic number, because the mean of its divisors is an integer number (3930528188160).

Almost surely, 2202220202000102 is an apocalyptic number.

202220202000102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202220202000102 is an abundant number, since it is smaller than the sum of its proper divisors (300887406084378).

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

202220202000102 is a wasteful number, since it uses less digits than its factorization.

202220202000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303998.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 202220202000102 its reverse (201000202022202), we get a palindrome (403220404022304).

The spelling of 202220202000102 in words is "two hundred two trillion, two hundred twenty billion, two hundred two million, one hundred two", and thus it is an aban number.

Divisors: 1 2 3 6 11 13 17 22 26 33 34 39 51 66 78 102 143 187 221 286 374 429 442 561 663 858 1122 1326 2431 4862 7293 14586 55889 111778 167667 248063 335334 496126 614779 726557 744189 950113 1229558 1453114 1488378 1844337 1900226 2179671 2728693 2850339 3224819 3688674 4217071 4359342 5457386 5700678 6449638 7992127 8186079 8434142 9674457 10451243 12351469 12651213 15984254 16372158 19348914 20902486 23976381 24702938 25302426 31353729 35473009 37054407 46387781 47952762 54821923 62707458 70946018 74108814 92775562 106419027 109643846 135866159 139163343 164465769 212838054 271732318 278326686 328931538 407598477 603041153 815196954 1206082306 1809123459 3618246918 13863993007 27727986014 41591979021 83183958042 152503923077 180231909091 235687881119 305007846154 360463818182 457511769231 471375762238 540695727273 707063643357 915023538462 1081391454546 1414127286714 1982551000001 2592566692309 3063942454547 3965102000002 5185133384618 5947653000003 6127884909094 7777700076927 9191827363641 11895306000006 15555400153854 18383654727282 33703367000017 67406734000034 101110101000051 202220202000102