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10012342410220 = 2254182317898293
BaseRepresentation
bin1001000110110010111000…
…0111001101101111101100
31022110011121100122122200211
42101230232013031233230
52303020234124111340
633143335005432204
72052240115164463
oct221545607155754
938404540578624
1010012342410220
1132102352a6547
12115856126b664
13578210219737
142688583dd9da
1512569d79d5ea
hex91b2e1cdbec

10012342410220 has 96 divisors (see below), whose sum is σ = 21579573375360. Its totient is φ = 3899856291840.

The previous prime is 10012342410197. The next prime is 10012342410289. The reversal of 10012342410220 is 2201424321001.

It is a junction number, because it is equal to n+sod(n) for n = 10012342410191 and 10012342410200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1207320394 + ... + 1207328686.

It is an arithmetic number, because the mean of its divisors is an integer number (224787222660).

Almost surely, 210012342410220 is an apocalyptic number.

10012342410220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10012342410220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10789786687680).

10012342410220 is an abundant number, since it is smaller than the sum of its proper divisors (11567230965140).

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

10012342410220 is a wasteful number, since it uses less digits than its factorization.

10012342410220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10955 (or 10953 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 10012342410220 its reverse (2201424321001), we get a palindrome (12213766731221).

The spelling of 10012342410220 in words is "ten trillion, twelve billion, three hundred forty-two million, four hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 823 1646 1789 3292 3578 4115 7156 8230 8293 8945 16460 16586 17890 33172 33743 35780 41465 67486 73349 82930 134972 146698 165860 168715 293396 337430 340013 366745 674860 680026 733490 1360052 1466980 1472347 1700065 2944694 3400130 5889388 6800260 6825139 7361735 13650278 14723470 14836177 27300556 29446940 29672354 34125695 59344708 60366227 68251390 74180885 120732454 136502780 148361770 241464908 279830699 296723540 301831135 559661398 603662270 608283257 1119322796 1207324540 1216566514 1399153495 2433133028 2798306990 3041416285 5596613980 6082832570 12165665140 12210173671 24420347342 48840694684 61050868355 122101736710 244203473420 500617120511 1001234241022 2002468482044 2503085602555 5006171205110 10012342410220