Search a number
-
+
10212200220102 = 23171372338533677
BaseRepresentation
bin1001010010011011011010…
…0100010000010111000110
31100011021110210101100000120
42110212312210100113012
52314304041224020402
633415230420122410
72102543561430156
oct224466644202706
940137423340016
1010212200220102
113287a7387a151
12118b239236406
13591010c4273a
142743b766a766
1512a9994d73bc
hex949b69105c6

10212200220102 has 128 divisors (see below), whose sum is σ = 21908784852864. Its totient is φ = 3162219184128.

The previous prime is 10212200220097. The next prime is 10212200220149. The reversal of 10212200220102 is 20102200221201.

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 63 ways as a sum of consecutive naturals, for example, 2777316688 + ... + 2777320364.

It is an arithmetic number, because the mean of its divisors is an integer number (171162381663).

Almost surely, 210212200220102 is an apocalyptic number.

10212200220102 is an abundant number, since it is smaller than the sum of its proper divisors (11696584632762).

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

10212200220102 is a wasteful number, since it uses less digits than its factorization.

10212200220102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4922.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10212200220102 its reverse (20102200221201), we get a palindrome (30314400441303).

The spelling of 10212200220102 in words is "ten trillion, two hundred twelve billion, two hundred million, two hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 17 34 51 102 137 233 274 411 466 699 822 853 1398 1706 2329 2559 3677 3961 4658 5118 6987 7354 7922 11031 11883 13974 14501 22062 23766 29002 31921 43503 62509 63842 87006 95763 116861 125018 187527 191526 198749 233722 350583 375054 397498 503749 542657 596247 701166 856741 1007498 1085314 1192494 1511247 1627971 1713482 1986637 2570223 3022494 3136481 3255942 3378733 3973274 5140446 5959911 6272962 6757466 8563733 9409443 10136199 11919822 14564597 17127466 18818886 20272398 25691199 27228613 29129194 43693791 51382398 53320177 54457226 81685839 87387582 106640354 117373517 159960531 163371678 234747034 319921062 352120551 429697897 462886421 704241102 730800073 859395794 925772842 1289093691 1388659263 1461600146 1995349789 2192400219 2578187382 2777318526 3990699578 4384800438 5986049367 7304864249 11972098734 12423601241 14609728498 21914592747 24847202482 37270803723 43829185494 74541607446 100119610001 200239220002 300358830003 600717660006 1702033370017 3404066740034 5106100110051 10212200220102