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10212200200110 = 23517163331937013
BaseRepresentation
bin1001010010011011011010…
…0100001011011110101110
31100011021110210100022121010
42110212312210023132232
52314304041222400420
633415230415450050
72102543561314656
oct224466644133656
940137423308533
1010212200200110
113287a73866127
12118b239226926
13591010c365cc
142743b7663366
1512a9994d14e0
hex949b690b7ae

10212200200110 has 128 divisors (see below), whose sum is σ = 26118784005120. Its totient is φ = 2546501400576.

The previous prime is 10212200200099. The next prime is 10212200200151. The reversal of 10212200200110 is 1100200221201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275889964 + ... + 275926976.

It is an arithmetic number, because the mean of its divisors is an integer number (204053000040).

Almost surely, 210212200200110 is an apocalyptic number.

10212200200110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10212200200110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13059392002560).

10212200200110 is an abundant number, since it is smaller than the sum of its proper divisors (15906583805010).

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

10212200200110 is a wasteful number, since it uses less digits than its factorization.

10212200200110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40522.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10212200200110 its reverse (1100200221201), we get a palindrome (11312400421311).

The spelling of 10212200200110 in words is "ten trillion, two hundred twelve billion, two hundred million, two hundred thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 163 170 255 326 489 510 815 978 1630 2445 2771 3319 4890 5542 6638 8313 9957 13855 16595 16626 19914 27710 33190 37013 41565 49785 56423 74026 83130 99570 111039 112846 169269 185065 222078 282115 338538 370130 540997 555195 564230 629221 846345 1081994 1110390 1258442 1622991 1692690 1887663 2704985 3146105 3245982 3775326 5409970 6033119 6292210 8114955 9196949 9438315 12066238 16229910 18099357 18393898 18876630 27590847 30165595 36198714 45984745 55181694 60331190 90496785 91969490 102563023 122846147 137954235 180993570 205126046 245692294 275908470 307689069 368538441 512815115 614230735 615378138 737076882 1025630230 1228461470 1538445345 1842692205 2088384499 3076890690 3685384410 4176768998 6265153497 10441922495 12530306994 20023921961 20883844990 31325767485 40047843922 60071765883 62651534970 100119609805 120143531766 200239219610 300358829415 340406673337 600717658830 680813346674 1021220020011 1702033366685 2042440040022 3404066733370 5106100100055 10212200200110