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10112121220220 = 2252961359796141
BaseRepresentation
bin1001001100100110100101…
…1001001010110001111100
31022210201011010002101022022
42103021221121022301330
52311134111013021340
633301235551535312
72062401535112255
oct223115131126174
938721133071268
1010112121220220
113249587896298
121173968b2a538
13584751c62c06
1426d601d23b2c
1512808d3953b5
hex9326964ac7c

10112121220220 has 96 divisors (see below), whose sum is σ = 22390060694400. Its totient is φ = 3830643532800.

The previous prime is 10112121220163. The next prime is 10112121220237. The reversal of 10112121220220 is 2202212121101.

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, 12303350 + ... + 13099490.

It is an arithmetic number, because the mean of its divisors is an integer number (233229798900).

Almost surely, 210112121220220 is an apocalyptic number.

10112121220220 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 10112121220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11195030347200).

10112121220220 is an abundant number, since it is smaller than the sum of its proper divisors (12277939474180).

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

10112121220220 is a wasteful number, since it uses less digits than its factorization.

10112121220220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796599 (or 796597 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10112121220220 its reverse (2202212121101), we get a palindrome (12314333341321).

The spelling of 10112121220220 in words is "ten trillion, one hundred twelve billion, one hundred twenty-one million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 29 58 61 116 122 145 244 290 305 359 580 610 718 1220 1436 1769 1795 3538 3590 7076 7180 8845 10411 17690 20822 21899 35380 41644 43798 52055 87596 104110 109495 208220 218990 437980 635071 796141 1270142 1592282 2540284 3175355 3184564 3980705 6350710 7961410 12701420 15922820 23088089 46176178 48564601 92352356 97129202 115440445 194258404 230880890 242823005 285814619 461761780 485646010 571629238 971292020 1143258476 1408373429 1429073095 2816746858 2858146190 5633493716 5716292380 7041867145 8288623951 14083734290 16577247902 17434691759 28167468580 33154495804 34869383518 41443119755 69738767036 82886239510 87173458795 165772479020 174346917590 348693835180 505606061011 1011212122022 2022424244044 2528030305055 5056060610110 10112121220220