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1022302422102 = 2313267103146093
BaseRepresentation
bin11101110000001011111…
…10010000010001010110
310121201202000100212002110
432320011332100101112
5113222133410001402
62101350024451450
7133600415132553
oct16700576202126
93551660325073
101022302422102
1136461307a7a5
12146167019b86
1375530985c00
14376a042ba2a
151b8d46d156c
hexee05f90456

1022302422102 has 96 divisors (see below), whose sum is σ = 2268856182528. Its totient is φ = 306849299328.

The previous prime is 1022302422091. The next prime is 1022302422187. The reversal of 1022302422102 is 2012242032201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6924568 + ... + 7070660.

It is an arithmetic number, because the mean of its divisors is an integer number (23633918568).

Almost surely, 21022302422102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1022302422102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1134428091264).

1022302422102 is an abundant number, since it is smaller than the sum of its proper divisors (1246553760426).

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

1022302422102 is a wasteful number, since it uses less digits than its factorization.

1022302422102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146294 (or 146281 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 1022302422102 its reverse (2012242032201), we get a palindrome (3034544454303).

The spelling of 1022302422102 in words is "one trillion, twenty-two billion, three hundred two million, four hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 13 26 39 67 78 103 134 169 201 206 309 338 402 507 618 871 1014 1339 1742 2613 2678 4017 5226 6901 8034 11323 13802 17407 20703 22646 33969 34814 41406 52221 67938 89713 104442 146093 179426 269139 292186 438279 538278 876558 1166269 1899209 2332538 3498807 3798418 5697627 6997614 9788231 11395254 15047579 19576462 24689717 29364693 30095158 45142737 49379434 58729386 74069151 90285474 127247003 148138302 195618527 254494006 381741009 391237054 586855581 763482018 1008187793 1173711162 1654211039 2016375586 2543040851 3024563379 3308422078 4962633117 5086081702 6049126758 7629122553 9925266234 13106441309 15258245106 26212882618 39319323927 78638647854 170383737017 340767474034 511151211051 1022302422102