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10211010222112 = 257307943915731
BaseRepresentation
bin1001010010010110111110…
…1000110001100000100000
31100011011101212012011122221
42110211233220301200200
52314244122104101422
633414512350240424
72102502231550240
oct224455750614040
940134355164587
1010211010222112
113287513085037
12118ab667b6114
13590b81540a0b
142743035c1b20
1512a929cc53c7
hex9496fa31820

10211010222112 has 96 divisors (see below), whose sum is σ = 23053516738560. Its totient is φ = 4361153322240.

The previous prime is 10211010222097. The next prime is 10211010222121. The reversal of 10211010222112 is 21122201011201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 649093287 + ... + 649109017.

It is an arithmetic number, because the mean of its divisors is an integer number (240140799360).

Almost surely, 210211010222112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211010222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11526758369280).

10211010222112 is an abundant number, since it is smaller than the sum of its proper divisors (12842506516448).

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

10211010222112 is a wasteful number, since it uses less digits than its factorization.

10211010222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25494 (or 25486 counting only the distinct ones).

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

Adding to 10211010222112 its reverse (21122201011201), we get a palindrome (31333211233313).

The spelling of 10211010222112 in words is "ten trillion, two hundred eleven billion, ten million, two hundred twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 307 614 1228 2149 2456 4298 4912 8596 9439 9824 15731 17192 18878 31462 34384 37756 62924 66073 68768 75512 110117 125848 132146 151024 220234 251696 264292 302048 440468 503392 528584 880936 1057168 1761872 2114336 2897773 3523744 4829417 5795546 9658834 11591092 19317668 20284411 23182184 33805919 38635336 40568822 46364368 67611838 77270672 81137644 92728736 135223676 148484909 154541344 162275288 270447352 296969818 324550576 540894704 593939636 649101152 1039394363 1081789408 1187879272 2078788726 2375758544 4157577452 4751517088 8315154904 16630309808 33260619616 45584867063 91169734126 182339468252 319094069441 364678936504 638188138882 729357873008 1276376277764 1458715746016 2552752555528 5105505111056 10211010222112