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10210211221210 = 257111310110099021
BaseRepresentation
bin1001010010010100000000…
…0000110100111011011010
31100011002100011201201110221
42110211000000310323122
52314241003033034320
633414301205030254
72102443360264450
oct224450000647332
940132304651427
1010210211221210
113287143066910
12118a9830b538a
13590a84b4a810
142742694369d0
1512a8cea993aa
hex94940034eda

10210211221210 has 128 divisors (see below), whose sum is σ = 24920185102848. Its totient is φ = 2908517760000.

The previous prime is 10210211221201. The next prime is 10210211221211. The reversal of 10210211221210 is 1212211201201.

It is not an unprimeable number, because it can be changed into a prime (10210211221211) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 4038501 + ... + 6060520.

It is an arithmetic number, because the mean of its divisors is an integer number (194688946116).

Almost surely, 210210211221210 is an apocalyptic number.

10210211221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10210211221210 is an abundant number, since it is smaller than the sum of its proper divisors (14709973881638).

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

10210211221210 is a wasteful number, since it uses less digits than its factorization.

10210211221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099160.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10210211221210 its reverse (1212211201201), we get a palindrome (11422422422411).

The spelling of 10210211221210 in words is "ten trillion, two hundred ten billion, two hundred eleven million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 101 110 130 143 154 182 202 286 385 455 505 707 715 770 910 1001 1010 1111 1313 1414 1430 2002 2222 2626 3535 5005 5555 6565 7070 7777 9191 10010 11110 13130 14443 15554 18382 28886 38885 45955 72215 77770 91910 101101 144430 202202 505505 1011010 10099021 20198042 50495105 70693147 100990210 111089231 131287273 141386294 222178462 262574546 353465735 555446155 656436365 706931470 777624617 919010911 1020001121 1110892310 1312872730 1444160003 1555249234 1838021822 2040002242 2888320006 3888123085 4595054555 5100005605 7140007847 7220800015 7776246170 9190109110 10109120021 10200011210 11220012331 13260014573 14280015694 14441600030 20218240042 22440024662 26520029146 35700039235 50545600105 56100061655 66300072865 71400078470 78540086317 92820102011 101091200210 112200123310 132600145730 145860160303 157080172634 185640204022 291720320606 392700431585 464100510055 729300801515 785400863170 928201020110 1021021122121 1458601603030 2042042244242 5105105610605 10210211221210