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210112000020 = 2232513293096257
BaseRepresentation
bin1100001110101110100…
…1101011000000010100
3202002100001210111202200
43003223221223000110
511420302133000040
6240305113204500
721115525350426
oct3035351530024
9662301714680
10210112000020
118112082350a
123487a100730
1316a76292140
14a25307a816
1556eb0a7630
hex30eba6b014

210112000020 has 144 divisors (see below), whose sum is σ = 710033884560. Its totient is φ = 49936416768.

The previous prime is 210112000003. The next prime is 210112000039. The reversal of 210112000020 is 20000211012.

It can be written as a sum of positive squares in 8 ways, for example, as 63180844164 + 146931155856 = 251358^2 + 383316^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 210111999966 and 210112000011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1480269 + ... + 1615988.

It is an arithmetic number, because the mean of its divisors is an integer number (4930790865).

Almost surely, 2210112000020 is an apocalyptic number.

210112000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210112000020 is an abundant number, since it is smaller than the sum of its proper divisors (499921884540).

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

210112000020 is a wasteful number, since it uses less digits than its factorization.

210112000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3096314 (or 3096309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 210112000020 its reverse (20000211012), we get a palindrome (230112211032).

The spelling of 210112000020 in words is "two hundred ten billion, one hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 29 30 36 39 45 52 58 60 65 78 87 90 116 117 130 145 156 174 180 195 234 260 261 290 348 377 390 435 468 522 580 585 754 780 870 1044 1131 1170 1305 1508 1740 1885 2262 2340 2610 3393 3770 4524 5220 5655 6786 7540 11310 13572 16965 22620 33930 67860 3096257 6192514 9288771 12385028 15481285 18577542 27866313 30962570 37155084 40251341 46443855 55732626 61925140 80502682 89791453 92887710 111465252 120754023 139331565 161005364 179582906 185775420 201256705 241508046 269374359 278663130 359165812 362262069 402513410 448957265 483016092 538748718 557326260 603770115 724524138 805026820 808123077 897914530 1077497436 1167288889 1207540230 1346871795 1449048276 1616246154 1795829060 1811310345 2334577778 2415080460 2693743590 3232492308 3501866667 3622620690 4040615385 4669155556 5387487180 5836444445 7003733334 7245241380 8081230770 10505600001 11672888890 14007466668 16162461540 17509333335 21011200002 23345777780 35018666670 42022400004 52528000005 70037333340 105056000010 210112000020