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10110202220112 = 2431078112427247
BaseRepresentation
bin1001001100011111011100…
…0000110000111001010000
31022210112012101011002001020
42103013313000300321100
52311121143232020422
633300321321035440
72062303143636621
oct223076700607120
938715171132036
1010110202220112
113248792643095
121173512325b80
135845075090a7
1426d49d111a48
15127ec9b8295c
hex931f7030e50

10110202220112 has 80 divisors (see below), whose sum is σ = 26394632635392. Its totient is φ = 3334453464960.

The previous prime is 10110202220093. The next prime is 10110202220113. The reversal of 10110202220112 is 21102220201101.

It is a super-3 number, since 3×101102022201123 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10110202220091 and 10110202220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110202220113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2951673 + ... + 5378919.

Almost surely, 210110202220112 is an apocalyptic number.

10110202220112 is a gapful number since it is divisible by the number (12) 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 10110202220112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13197316317696).

10110202220112 is an abundant number, since it is smaller than the sum of its proper divisors (16284430415280).

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

10110202220112 is a wasteful number, since it uses less digits than its factorization.

10110202220112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428176 (or 2428170 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 10110202220112 its reverse (21102220201101), we get a palindrome (31212422421213).

The spelling of 10110202220112 in words is "ten trillion, one hundred ten billion, two hundred two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 811 856 1284 1622 1712 2433 2568 3244 4866 5136 6488 9732 12976 19464 38928 86777 173554 260331 347108 520662 694216 1041324 1388432 2082648 2427247 4165296 4854494 7281741 9708988 14563482 19417976 29126964 38835952 58253928 116507856 259715429 519430858 779146287 1038861716 1558292574 1968497317 2077723432 3116585148 3936994634 4155446864 5905491951 6233170296 7873989268 11810983902 12466340592 15747978536 23621967804 31495957072 47243935608 94487871216 210629212919 421258425838 631887638757 842516851676 1263775277514 1685033703352 2527550555028 3370067406704 5055101110056 10110202220112