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10212101220210 = 23519113457346933
BaseRepresentation
bin1001010010011011000010…
…1010100110011101110010
31100011021012220002121200220
42110212300222212131302
52314303340403021320
633415212522153510
72102541250101561
oct224466052463562
940137186077626
1010212101220210
113287a22a0105a
12118b210052896
13590cc658c216
142743a8459bd8
1512a99097de40
hex949b0aa6772

10212101220210 has 128 divisors (see below), whose sum is σ = 26084329931520. Its totient is φ = 2551465598976.

The previous prime is 10212101220161. The next prime is 10212101220331. The reversal of 10212101220210 is 1202210121201.

It is a super-2 number, since 2×102121012202102 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10212101220210.

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, 29261904 + ... + 29608836.

It is an arithmetic number, because the mean of its divisors is an integer number (203783827590).

Almost surely, 210212101220210 is an apocalyptic number.

10212101220210 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 10212101220210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13042164965760).

10212101220210 is an abundant number, since it is smaller than the sum of its proper divisors (15872228711310).

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

10212101220210 is a wasteful number, since it uses less digits than its factorization.

10212101220210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347532.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10212101220210 its reverse (1202210121201), we get a palindrome (11414311341411).

The spelling of 10212101220210 in words is "ten trillion, two hundred twelve billion, one hundred one million, two hundred twenty thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 113 114 190 226 285 339 457 565 570 678 914 1130 1371 1695 2147 2285 2742 3390 4294 4570 6441 6855 8683 10735 12882 13710 17366 21470 26049 32205 43415 51641 52098 64410 86830 103282 130245 154923 258205 260490 309846 346933 516410 693866 774615 981179 1040799 1549230 1734665 1962358 2081598 2943537 3469330 4905895 5203995 5887074 6591727 9811790 10407990 13183454 14717685 19775181 29435370 32958635 39203429 39550362 65917270 78406858 98875905 117610287 158548381 196017145 197751810 235220574 317096762 392034290 475645143 588051435 744865151 792741905 951290286 1176102870 1489730302 1585483810 2234595453 2378225715 3012419239 3724325755 4469190906 4756451430 6024838478 7448651510 9037257717 11172977265 15062096195 17915967053 18074515434 22345954530 30124192390 35831934106 45186288585 53747901159 89579835265 90372577170 107495802318 179159670530 268739505795 340403374007 537479011590 680806748014 1021210122021 1702016870035 2042420244042 3404033740070 5106050610105 10212101220210