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10210012210110 = 235191091271293961
BaseRepresentation
bin1001010010010011010000…
…1001101010001110111110
31100011001211022020220120110
42110210310021222032332
52314240101111210420
633414225335330450
72102435422566246
oct224446411521676
940131738226513
1010210012210110
113287050799929
12118a928520a26
13590a5284b67b
1427424ac30b26
1512a8bc387ee0
hex9493426a3be

10210012210110 has 128 divisors (see below), whose sum is σ = 26235338342400. Its totient is φ = 2535581905920.

The previous prime is 10210012210109. The next prime is 10210012210141. The reversal of 10210012210110 is 1101221001201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7243530 + ... + 8537490.

It is an arithmetic number, because the mean of its divisors is an integer number (204963580800).

Almost surely, 210210012210110 is an apocalyptic number.

10210012210110 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 10210012210110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117669171200).

10210012210110 is an abundant number, since it is smaller than the sum of its proper divisors (16025326132290).

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

10210012210110 is a wasteful number, since it uses less digits than its factorization.

10210012210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294226.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210012210110 its reverse (1101221001201), we get a palindrome (11311233211311).

The spelling of 10210012210110 in words is "ten trillion, two hundred ten billion, twelve million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 109 114 127 190 218 254 285 327 381 545 570 635 654 762 1090 1270 1635 1905 2071 2413 3270 3810 4142 4826 6213 7239 10355 12065 12426 13843 14478 20710 24130 27686 31065 36195 41529 62130 69215 72390 83058 138430 207645 263017 415290 526034 789051 1293961 1315085 1578102 2587922 2630170 3881883 3945255 6469805 7763766 7890510 12939610 19409415 24585259 38818830 49170518 73755777 122926295 141041749 147511554 164333047 245852590 282083498 328666094 368778885 423125247 492999141 705208745 737557770 821665235 846250494 985998282 1410417490 1643330470 2115626235 2464995705 2679793231 3122327893 4231252470 4929991410 5359586462 6244655786 8039379693 9366983679 13398966155 15611639465 16078759386 17912302123 18733967358 26797932310 31223278930 35824604246 40196898465 46834918395 53736906369 80393796930 89561510615 93669836790 107473812738 179123021230 268684531845 340333740337 537369063690 680667480674 1021001221011 1701668701685 2042002442022 3403337403370 5105006105055 10210012210110