Search a number
-
+
2121020000010 = 2325232935332667
BaseRepresentation
bin11110110111010110101…
…001001100011100001010
321111202201112022211102200
4132313112221030130022
5234222322110000020
64302214431341030
7306144565350312
oct36672651143412
97452645284380
102121020000010
1174857954a01a
122a3099381776
1312501bb6c032
147492d46c442
153a28c7b5590
hex1edd6a4c70a

2121020000010 has 96 divisors (see below), whose sum is σ = 5952847904640. Its totient is φ = 522358134144.

The previous prime is 2121020000003. The next prime is 2121020000051. The reversal of 2121020000010 is 100000201212.

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 = 2121019999947 and 2121020000001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17606304 + ... + 17726363.

It is an arithmetic number, because the mean of its divisors is an integer number (62008832340).

Almost surely, 22121020000010 is an apocalyptic number.

2121020000010 is an abundant number, since it is smaller than the sum of its proper divisors (3831827904630).

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

2121020000010 is a wasteful number, since it uses less digits than its factorization.

2121020000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35332732 (or 35332729 counting only the distinct ones).

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

Adding to 2121020000010 its reverse (100000201212), we get a palindrome (2221020201222).

The spelling of 2121020000010 in words is "two trillion, one hundred twenty-one billion, twenty million, ten", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 23 29 30 45 46 58 69 87 90 115 138 145 174 207 230 261 290 345 414 435 522 667 690 870 1035 1305 1334 2001 2070 2610 3335 4002 6003 6670 10005 12006 20010 30015 60030 35332667 70665334 105998001 176663335 211996002 317994003 353326670 529990005 635988006 812651341 1024647343 1059980010 1589970015 1625302682 2049294686 2437954023 3073942029 3179940030 4063256705 4875908046 5123236715 6147884058 7313862069 8126513410 9221826087 10246473430 12189770115 14627724138 15369710145 18443652174 23566888889 24379540230 30739420290 36569310345 46109130435 47133777778 70700666667 73138620690 92218260870 117834444445 141401333334 212102000001 235668888890 353503333335 424204000002 707006666670 1060510000005 2121020000010