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10212102012210 = 2357433373355811
BaseRepresentation
bin1001010010011011000010…
…1101100111110100110010
31100011021012221120212010020
42110212300231213310302
52314303341103342320
633415212551144310
72102541256610610
oct224466055476462
940137187525106
1010212102012210
113287a233a20aa
12118b210375096
13590cc67a8867
142743a85c46b0
1512a990a88940
hex949b0b67d32

10212102012210 has 128 divisors (see below), whose sum is σ = 28746798372864. Its totient is φ = 2273145154560.

The previous prime is 10212102012209. The next prime is 10212102012289. The reversal of 10212102012210 is 1221020121201.

10212102012210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 10212102012210.

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, 1365205 + ... + 4721015.

It is an arithmetic number, because the mean of its divisors is an integer number (224584362288).

Almost surely, 210212102012210 is an apocalyptic number.

10212102012210 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 10212102012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14373399186432).

10212102012210 is an abundant number, since it is smaller than the sum of its proper divisors (18534696360654).

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

10212102012210 is a wasteful number, since it uses less digits than its factorization.

10212102012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3356208.

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

Adding to 10212102012210 its reverse (1221020121201), we get a palindrome (11433122133411).

The spelling of 10212102012210 in words is "ten trillion, two hundred twelve billion, one hundred two million, twelve thousand, two hundred ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 43 70 86 105 129 210 215 258 301 337 430 602 645 674 903 1011 1290 1505 1685 1806 2022 2359 3010 3370 4515 4718 5055 7077 9030 10110 11795 14154 14491 23590 28982 35385 43473 70770 72455 86946 101437 144910 202874 217365 304311 434730 507185 608622 1014370 1521555 3043110 3355811 6711622 10067433 16779055 20134866 23490677 33558110 46981354 50337165 70472031 100674330 117453385 140944062 144299873 234906770 288599746 352360155 432899619 704720310 721499365 865799238 1010099111 1130908307 1442998730 2020198222 2164498095 2261816614 3030297333 3392724921 4328996190 5050495555 5654541535 6060594666 6785449842 7916358149 10100991110 11309083070 15151486665 15832716298 16963624605 23749074447 30302973330 33927249210 39581790745 47498148894 48629057201 79163581490 97258114402 118745372235 145887171603 237490744470 243145286005 291774343206 340403400407 486290572010 680806800814 729435858015 1021210201221 1458871716030 1702017002035 2042420402442 3404034004070 5106051006105 10212102012210