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1010220022112 = 257192027117101
BaseRepresentation
bin11101011001101011100…
…11100011100101100000
310120120112222012100012112
432230311303203211200
5113022412311201422
62052031053014452
7132662123335610
oct16546563434540
93516488170175
101010220022112
1135a482958864
12143954784428
13743567307c2
1436c758c0a40
151b428ad5ee2
hexeb35ce3960

1010220022112 has 96 divisors (see below), whose sum is σ = 2393827188480. Its totient is φ = 409958668800.

The previous prime is 1010220022103. The next prime is 1010220022121. The reversal of 1010220022112 is 2112200220101.

It is an interprime number because it is at equal distance from previous prime (1010220022103) and next prime (1010220022121).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 8568362 + ... + 8685462.

It is an arithmetic number, because the mean of its divisors is an integer number (24935699880).

Almost surely, 21010220022112 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 1010220022112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1196913594240).

1010220022112 is an abundant number, since it is smaller than the sum of its proper divisors (1383607166368).

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

1010220022112 is a wasteful number, since it uses less digits than its factorization.

1010220022112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119164 (or 119156 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 1010220022112 its reverse (2112200220101), we get a palindrome (3122420242213).

The spelling of 1010220022112 in words is "one trillion, ten billion, two hundred twenty million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2027 2128 4054 4256 8108 14189 16216 28378 32432 38513 56756 64864 77026 113512 117101 154052 227024 234202 269591 308104 454048 468404 539182 616208 819707 936808 1078364 1232416 1639414 1873616 2156728 2224919 3278828 3747232 4313456 4449838 6557656 8626912 8899676 13115312 15574433 17799352 26230624 31148866 35598704 62297732 71197408 124595464 237363727 249190928 474727454 498381856 949454908 1661546089 1898909816 3323092178 3797819632 4509910813 6646184356 7595639264 9019821626 13292368712 18039643252 26584737424 31569375691 36079286504 53169474848 63138751382 72158573008 126277502764 144317146016 252555005528 505110011056 1010220022112