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10220111011220 = 225111710392630077
BaseRepresentation
bin1001010010111000111000…
…0101100001110110010100
31100012000220002221011100012
42110232032011201312110
52314421241404324340
633423015411535352
72103243610151135
oct224561605416624
940160802834305
1010220111011220
113290363256650
1211908865ba558
135919a1b4ca26
14274928151c8c
1512acadc60565
hex94b8e161d94

10220111011220 has 96 divisors (see below), whose sum is σ = 24814470320640. Its totient is φ = 3494424176640.

The previous prime is 10220111011213. The next prime is 10220111011259. The reversal of 10220111011220 is 2211011102201.

It is a junction number, because it is equal to n+sod(n) for n = 10220111011195 and 10220111011204.

It is a congruent number.

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, 2570822 + ... + 5200898.

It is an arithmetic number, because the mean of its divisors is an integer number (258484065840).

Almost surely, 210220111011220 is an apocalyptic number.

10220111011220 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 10220111011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12407235160320).

10220111011220 is an abundant number, since it is smaller than the sum of its proper divisors (14594359309420).

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

10220111011220 is a wasteful number, since it uses less digits than its factorization.

10220111011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2631153 (or 2631151 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10220111011220 its reverse (2211011102201), we get a palindrome (12431122113421).

The spelling of 10220111011220 in words is "ten trillion, two hundred twenty billion, one hundred eleven million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1039 1870 2078 3740 4156 5195 10390 11429 17663 20780 22858 35326 45716 57145 70652 88315 114290 176630 194293 228580 353260 388586 777172 971465 1942930 2630077 3885860 5260154 10520308 13150385 26300770 28930847 44711309 52601540 57861694 89422618 115723388 144654235 178845236 223556545 289308470 447113090 491824399 578616940 894226180 983648798 1967297596 2459121995 2732650003 4918243990 5465300006 9836487980 10930600012 13663250015 27326500030 30059150033 46455050051 54653000060 60118300066 92910100102 120236600132 150295750165 185820200204 232275250255 300591500330 464550500510 511005550561 601183000660 929101001020 1022011101122 2044022202244 2555027752805 5110055505610 10220111011220