Search a number
-
+
2121321020010 = 235293118878839
BaseRepresentation
bin11110110111101000100…
…101011111101001101010
321111210111111202020020120
4132313220211133221222
5234223431140120020
64302304343304110
7306155212105533
oct36675045375152
97453444666216
102121321020010
1174871345a885
122a316214b036
1312506933618a
147495b42968a
153a2a8e26740
hex1ede895fa6a

2121321020010 has 128 divisors (see below), whose sum is σ = 5290218086400. Its totient is φ = 543747697920.

The previous prime is 2121321019949. The next prime is 2121321020029. The reversal of 2121321020010 is 100201231212.

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

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, 239991171 + ... + 240000009.

It is an arithmetic number, because the mean of its divisors is an integer number (41329828800).

Almost surely, 22121321020010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2121321020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2645109043200).

2121321020010 is an abundant number, since it is smaller than the sum of its proper divisors (3168897066390).

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

2121321020010 is a wasteful number, since it uses less digits than its factorization.

2121321020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10076.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2121321020010 its reverse (100201231212), we get a palindrome (2221522251222).

The spelling of 2121321020010 in words is "two trillion, one hundred twenty-one billion, three hundred twenty-one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 290 311 435 622 870 887 933 1555 1774 1866 2661 3110 4435 4665 5322 8839 8870 9019 9330 13305 17678 18038 25723 26517 26610 27057 44195 45095 51446 53034 54114 77169 88390 90190 128615 132585 135285 154338 256331 257230 265170 270570 275857 385845 512662 551714 768993 771690 827571 1281655 1379285 1537986 1655142 2563310 2748929 2758570 3844965 4137855 5497858 7689930 7840193 7999853 8246787 8275710 13744645 15680386 15999706 16493574 23520579 23999559 27489290 39200965 39999265 41233935 47041158 47999118 78401930 79718941 79998530 82467870 117602895 119997795 159437882 227365597 235205790 239156823 239995590 398594705 454731194 478313646 682096791 797189410 1136827985 1195784115 1364193582 2273655970 2391568230 2438300023 3410483955 4876600046 6820967910 7314900069 12191500115 14629800138 24383000230 36574500345 70710700667 73149000690 141421401334 212132102001 353553503335 424264204002 707107006670 1060660510005 2121321020010